Solve the systems of equations using substitution

Solve The Systems Of Equations Using Substitution

Answers

Answer 1

Answer:

C

Step-by-step explanation:

\(y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y - 1.5y = - 3.5 \\ 0.5y = 3.5 \\ y = 7\)

\(x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2\)

(2, 7)


Related Questions

Indria is wrapping the box below. How much wrapping paper does she need 8in 6in 3 in

Answers

Answer:

6pulgadas  

Step-by-step explanation:

Multi-Step Equations - PracticeCheck your SolutionCheck your SolutionCheck your SolutionCheck your SolutionCheck your Solution123456-3m - 5 = 5m - 136(y + 7) = 2(y - 3)3x + 2(x - 5) = 2510q + 3q + 5 = 2(q - 3)(x + 6) = 1323(x - 9)

Answers

Answer:

i don't get what i should do its all messed up

Step-by-step explanation:

How my calories are in 48 oz if tea

Answers

Answer:

2 calories

Step-by-step explanation:

yes

Answer:

The answer you are looking for is 2 calories.

Step-by-step explanation:

1 serving 8 fl oz cup (238 g)

6.5 ÷ ___________ = 0.065

Answers

Answer:  6.5 ÷ 100 = 0.065

6.5 x 1 = 0.065 this is the answer

2.1. Provide a general rule to describe the relationship between the dates of spread and number of people infected infected.​

Answers

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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A proportion often shows the relationship between:

Answers

Answer: two related quantities by comparing their ratios and establishing equivalence.

Step-by-step explanation: A proportion is a mathematical statement that equates two ratios.  It is commonly used to express the relationship between two related quantities or sets of data.  A proportion consists of four values: two ratios, where each ratio is made up of a numerator and a denominator.

Proportions are useful for comparing and understanding the relationship between different quantities.  They can be used to solve various real-life problems, such as determining equivalent values, finding unknown quantities, or making predictions based on known information.

For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion would be 2:1. This proportion shows the relationship between the amount of flour and water needed in the recipe.

In a proportion, the ratios are equivalent, meaning they have the same value.  This equality allows us to solve for unknown quantities by cross-multiplying and finding the missing value.

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These shapes are similar.
Find X.
5
X
5
30
24
30

Answers

The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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pls help me on this ​

pls help me on this

Answers

The answer is 25% increase

The next model of a sports car will cost 14.7% more than the current model. The current model costs $34,000. How much will the price increase in dollars?
What will be the price of the next model?
Increase in price:
Price of next model:

Answers

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

A challenge to all math experts...
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This question is a bit easy than rest of others that I have asked earlier. ​

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Answers

Answer:

0

Step-by-step explanation:

Given(x + \(\sqrt{1 + x^2}\))(y + \(\sqrt{1 + y^2}\)) = 1(x+y)² = ?Solution

Let's make substitution as:

(x + \(\sqrt{1 + x^2}\)) = m

then

(y + \(\sqrt{1 + y^2}\)) = 1/m

Solving the first equation for x and the second one for y:

(x + \(\sqrt{1 + x^2}\)) = m\(\sqrt{1 + x^2}\) = m - x1 + x² = (m - x)²1 + x² = m² - 2mx + x²2mx = m² - 1x = (m² - 1)/2m

And

(y + \(\sqrt{1 + y^2}\)) = 1/m\(\sqrt{1 + y^2}\) = 1/m - y1 + y² = 1/m² -2y/m + y²1 = 1/m² - 2y/m m² = 1 - 2my2my = 1 - m²y = (1 - m²)/2my = - (m² - 1)/2m

Now, sum of x and y:

x + y =  (m² - 1)/2m - (m² - 1)/2m = 0

Therefore:

(x+y)² = 0

Answer is zero

Question 6
A square is placed within a rectangle. Find the area of the shaded region.
Select one:
O


O
559 ft²
640 ft²
721 ft²
604 ft²
32 ft
19A
9 ft
20 ft

Answers

The area of the shaded region is 559 ft².

How to find the area of the shaded region?

In order to find the area of the shaded region, we will subtract the area of the square from the area of the rectangle. That is:

area of the shaded region = area of rectangle - area of square

area of the shaded region = (32 * 20) - (9 * 9)

area of the shaded region = 640 - 81

area of the shaded region = 559 ft²

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Complete Question

See attached image

Question 6A square is placed within a rectangle. Find the area of the shaded region.Select one:OO559

Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading above the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative, 3 with shading above the line. The graph shows a solid line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

Answers

A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

How to determine the required ordered pair?

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line

Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

Graph the inequality. y is less than negative one fourth times x minus 3 The graph shows a solid line

Which sequence of transformations proves that shape I is similar to shape II?

Answers

The sequence of transformations that proves that the shapes are similar is given as follows:

B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5

How to obtain the transformations?

First, we have that the orientation of the figure, hence it was reflected.

The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.

The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:

3/2 = 1.5.

Hence option B is the correct option for this problem.

Missing Information

The missing parts of the problem are given by the image presented at the end of the answer.

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Which sequence of transformations proves that shape I is similar to shape II?

2. Write down the four main math operations and the inverse operation for each one.

Answers

The main math operations1. Addition

For example,

8 = 5 + 3

Its inverse operation is substraction:

8 - 5 = 3

2. Substraction

For example,

4 - 1 = 3

Its inverse operation is addition:

4 = 3 + 1

3. Multiplication

For example,

12 = 4 x 3

Its inverse operation is division:

12 ÷ 4 = 3

4. Division

For example,

20 ÷ 5 = 4

Its inverse operation is multiplication:

20 = 5 x 4

What the are of this parallelogram?

What the are of this parallelogram?

Answers

Answer: the area is 28

0.5 divided by 10 please help me

Answers

Answer:

0.05

Step-by-step explanation:

Find the inequality represented by the graph.

Find the inequality represented by the graph.

Answers

Answer:

y < 4x + 3

Step-by-step explanation:

First find the equation represented by the graph...

using slope-intercept (y = mx + b where m = the slope and b = the y- intercept)

slope is 4

y- intercept is 3

Once you have the equation 4x + 3, determine whether y is greater than or equal to the point plotted.

I can explain more if you need but trust me the answer is y < 4x + 3

The inequality represented by the graph is y <1/4x + 3.

From the graph, the line of inequality cut the y axis at 3.

So, the y intercept is (0, 3).

and, the slope of the inequality is

= 1/4

Using slope-intercept form

y= mx+ b

y= 1/4x + 3

Since the inequality have the shaded area below the line to represent all the points that satisfy the inequality.

and, the inequality can be written as

y < 1/4x + 3

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The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.

Answers

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Please help I need this done by tonight!!

Please help I need this done by tonight!!

Answers

Answer:

answer is 10

Step-by-step explanation:

(4x+12)+(4x+12)+(5x+26)=180[sum of isosceles triangles]

8x+34+5x+26=180

X=10


(4x+12) + (4x+12) + (5x+26) = 180
13x + 50 = 180
13x = 130
X = 10

Now that you found the value of x, plug that number into the equations they gave you for the angles...
angles G and H = 4(10) + 12 = 52
angle I = 5(10) + 26 = 76

! 100 POINTS !
What is this question asking? What does it mean by floor plan? A step-by-step explanation would be very much appreciated. ​

Brainliest, ratings and thanks are promised if a helpful answer is received.

! 100 POINTS !What is this question asking? What does it mean by floor plan? A step-by-step explanation

Answers

Step-by-step explanation:

So first of all u have to convert the metres into centimetres. After the conversation draw the map of both in centimetres and your map is done. The question is answered

Answer:

Determine the dimensions of the room: Measure the length and width of the room you want to draw a floor plan for using a tape measure. Record these measurements in meters.

Choose a scale: Since you want to use a scale of 1cm to 0.5m, you need to convert your measurements from meters to centimeters. For example, if your room measures 6 meters by 4 meters, you need to multiply each measurement by 100 to get 600cm by 400cm. Then, divide each measurement by 2 to get your scale measurement. In this case, your floor plan will be 300cm by 200cm.

Draw a rough sketch: Using a pencil and graph paper, draw a rough sketch of the room's shape based on the dimensions you have recorded.

Add doors and windows: Using the same scale, add doors and windows to your floor plan. Doors are typically represented by a straight line with an arc on top, while windows are represented by a straight line with a horizontal line through the middle.

Add fixtures and appliances: Add any fixtures and appliances that are permanent to the room, such as sinks, cabinets, and appliances. You can use symbols to represent these items, such as a rectangle for a refrigerator or a triangle for a sink.

Label everything: Finally, label everything on your floor plan using a legible font. This includes the dimensions of the room, the location of doors and windows, and the names of fixtures and appliances.

Step-by-step explanation:

Please help urgent thank you

Please help urgent thank you

Answers

If he wants an average of 84, he needs to get at least 93 points.

What score does he need to get in the next test?

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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what's the steps used to solve modeling problems in the correct order​

what's the steps used to solve modeling problems in the correct order

Answers

Answer:

see below

Step-by-step explanation:

The first step is to read the problem

Then you need to make a plan

Implement the plan

Then evaluate the answer to see if it makes sense

Read the sentences below. Choose the correct option to show which sentence uses a colon correctly.



a) We’ve chosen two cities to visit London: and Paris.
b) We’ve chosen: two cities to visit London and Paris.
c) We’ve chosen two cities: to visit London and Paris.
d) We’ve chosen two cities to visit: London and Paris.

Answers

Answer:

d

Step-by-step explanation:

colons are used to list

Factor f(a) = 7a²– 16a + 4

Answers

Factor this expression means to find two numbers x and y such that we can write f(a) = (a+x)(a+y).

To do this, we use the quadratic formula

\(\begin{gathered} a=\frac{-(-16)\pm\sqrt[]{(-16)^2-4(7)(4)}}{2(7)} \\ a=\frac{16\pm\sqrt[]{256-112}}{14} \\ a=\frac{16\pm\sqrt[]{144}}{14} \\ a=\frac{16\pm12}{14} \end{gathered}\)

so, one answer is

\(a=\frac{16+12}{14}=\frac{28}{14}=2\)

and the other one

\(a=\frac{16-12}{14}=\frac{4}{14}=\frac{2}{7}\)

To find the factors we use the solutions

\(\begin{gathered} a=2\text{ then a-2=0} \\ a-2\text{ is a factor} \end{gathered}\)\(\begin{gathered} a=\frac{2}{7}\text{ then 7a-2=0} \\ 7a-2\text{ is a factor} \end{gathered}\)

Then, the factorization is

\(7a^2-16a+4=(7a-2)(a-2)\)

A recent survey showed that exactly 38%
of people in a town buy the local
newspaper. There are 2450 people in the
town.
a) How many people in the town buy the
local newspaper?
b) How many people in the town do not
buy the local newspaper?

Answers

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

In a class of a 21 students, 16 are female and 15 have an A in the class. There are 2
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class does not have an A?

Answers

Answer:

2/7

Step-by-step explanation:

Trust me.

It took an escalator 12 seconds to descend to the ground level. What is the
domain of this graph?
Height (feet)
O NAGOGISBN2
8
OA 0sxs12
OB. 0≤x≤24
OC. xz0
OD. All real numbers
Escalator Height
7 8 9 10 11 12
Time (seconds)

It took an escalator 12 seconds to descend to the ground level. What is thedomain of this graph?Height

Answers

The domain is A)0 \(\le x \le 12\).

What is domain?

The range οf values that we are permitted tο enter intο οur functiοn is knοwn as the dοmain οf a functiοn. The x values fοr a functiοn like f make up this set (x). A functiοn's range is the cοllectiοn οf values it can take as input.

Here in the given graph ,

Y coordinate represent the height and x coordinate represent the times.

In the given function x value is maximum 12. Then the domain is between 12.

Hence the correct option is A) 0 \(\le x \le 12\).

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I need help!!!!!!!!!

I need help!!!!!!!!!

Answers

Answer:

its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2

Answer:

When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.

Multiply b^2 * b^3 = b^5  (add the exponent 2 + 3 = 5)

Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)

Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)

b^2 * b*2 = b^4 (add exponents)

7b * b^2 = 7b^3 (add the exponents 1 + 2)

4 * b^2 = 4b^2

              b^2             +               7b             +        4

b^3           b^5              +           7b^4            +   4b^3

+                                                                                      

b^2           b^4             +           7b^3            + 4b^2

b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2

\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)

b^5 + 8b^4 + 11b^3 + 4b^2

HELP PLEASE!!!!!
options
A) AAS
B) ASA
C) HL
D) SAS

HELP PLEASE!!!!! options A) AASB) ASAC) HLD) SAS

Answers

The answer is A) AAS because it goes angle then angle then side.

Use the table to write a linear function that relates y to I.
X
-2
0
2
4
y
-7
- 7 - 7
- 7
=
10

Use the table to write a linear function that relates y to I.X-2024y-7- 7 - 7- 7=10

Answers

Answer:

y = -7

Step-by-step explanation:

✔️Find the slope (m) using any two pairs of values, say (0, -7) and (2, -7):

Slope (m) = ∆y/∆x = (-7 -(-7))/(2 - 0) = 0/2 = 0

Slope (m) = 0

✔️Find y-intercept (b):

y-intercept is the value of y when x = 0. From the table, when x = 0, y = -7.

Therefore, y-intercept (b) = -7

✔️ Substitute m = 0 and b = -7 into y = mx + b (slope-intercept form):

y = 0(x) + (-7)

y = -7

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We come to dedicate a portion of it, as a final resting place for those who died here that the nation might live This we may. In all propriety do But in a larger sense, we can not dedicate - we can not consecrate - we can not hallow this ground. The brave men, living and dead, who struggled here, have hallowed it, far above our poor power to add or detract. The world will little note, nor long remember what we say here: while it can never forget what they did here It is rather for us, the living, we here be dedicated to the great task remaining before us that, from these honored dead we take increased devotion to that cause for which they here gave the last full measure of devotion - that we here highly resolve these dead shall not have died in vain, that the nation, shall have a new birth of freedom, and that government of the people, by the people for the people, shall not perish from the earth What is 9.6758473648 to the closest hundredth arrange the phases of mitosis HALP!!! 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