what is the solution set for this inequality? -5x+30 >-10

Answer:

4x+8

Step-by-step explanaztion:

Answer:

1.) 12 yards (the one you selected is correct)

2.) 1.1 with the bar over the decimal (the one you selected is correct)

Step-by-step explanation:

1.) It looks like Aaron dropped back 5 yards from the line of scrimmage and threw to the 7 yard line for a total of 12 yards.

2.) If you enter 10 divided by 9 into your calculator you will get back 1.11111111111111 that keeps repeating for how ever many digits your calculator can show.  We write this as 1.1 with the bar over the decimal.

Answer:

C

Step-by-step explanation:

Hope it helps

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

⋅

W

=

56

⋅

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

⋅

W

=

24

⋅

34

=

816

The area enclosed in the area of the big square minus the area of the little square.

3360

−

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

2.5 cups of flour per cup of water.

Step-by-step explanation:

We can divide the entire recipe by two, to get the amount of flour to 1 cup of water.

5/2 = 2.5

2/2 = 1

Therefore, 2.5 cups of flour needs 1 cup of water.

Answer:

There are 2.5 cups of flour per cup of water

Step-by-step explanation:

Step 1:  Find the ration

Cups of Flour : Cups of Water

5 : 2

2.5 : 1

Answer:  There are 2.5 cups of flour per cup of water

Answer:

They are equivalent

Step-by-step explanation:

\(3(3a+4) = 3(3a)+(3)(4) = 9a+12\)

Explanation: if you distribute the 3 to the formula within the parenteses, you will get the same equation as 9a+12

To convert from degrees to decimal, we use the formula shown below:

Where

DD is the decimal degree

d is the degree (whole) in original degree/min/sec given

min is the minutes

sec is the number of seconds

Now,

Given,

d = 9

min = 18

seconds = 42

We substitute and find out the answer:

Rounding the answer to nearest thousandth (3 decimal places):

Answer: See attached.  

              Open circle -4 with line to the left.

Step-by-step explanation:

      First, we see it's a < [less than] symbol so we will use an open circle. Next, we see that y is equal to everything less than -4, so we will shade to the left of an open circled -4. See attached.

Answer:

10

Step-by-step explanation:

first one you will see the big triangle are 1 after that there are two and three more and then start to look at four small triangles

Answer:

False, it is equal to 4.

Step-by-step explanation:

The current question asks that 4 x 4/4 is equal to 1, since 4/4 is equal to 1, but this stems from a gross misinterpretation of mathematics.

Although it is true that 4/4 is equal to one, since the 4 parts that make up an integer are completed, when multiplying the number 1 4 times this mathematical operation will result in 4, since 4 x 1 = 4.

The graph of the quadratic function is the one in option A.

Here we want to graph the quadratic function:

y = 2x² + 6x+3

To do so, we can find the y-intercept:

y = 2*0² + 6*0+3 = 3

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

Also, the x-value of the vertex is at:

x = -6/(2*2) = -6/4 = -3/2

So the vertex is in the left side of the y-axis, with these two things we can conclude that the correct option is A.

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Answer:

2x - 3 = 11

x = -21

Step-by-step explanation:

Correct answer:

9 26/100 km

Simply just add them. :)

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer: 45 degrees

Step-by-step explanation: I just kinda eyeballed it, as a right angle cut in half is 45 degrees. It may not be right, but I tried

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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Answer:

\(f(-1) = \frac{5}{2}\)

\(f(0) = 5\)

\(f(2) = 20\)

Step-by-step explanation:

Given

\(f(x) = 5(2^x)\)

Required

Determine f(-1); f(0) and f(2)

Solving f(-1)

In this case, we simply take x as;

\(x = -1\)

Substitute -1 for x in \(f(x) = 5(2^x)\)

\(f(-1) = 5(2^{-1})\)

Apply law of indices

\(f(-1) = 5 * \frac{1}{2}\)

\(f(-1) = \frac{5}{2}\)

Solving f(0)

In this case, we simply take x as;

\(x = 0\)

Substitute 0 for x in \(f(x) = 5(2^x)\)

\(f(0) = 5(2^0)\)

\(f(0) = 5(1)\)

\(f(0) = 5\)

Solving f(2)

In this case, we simply take x as;

\(x = 2\)

Substitute 2 for x in \(f(x) = 5(2^x)\)

\(f(2) = 5(2^2)\)

\(f(2) = 5(4)\)

\(f(2) = 20\)

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

The measure of angle JKM is 26°

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the opposite angles in the triangle.

Also the sum of angle in a triangle is 180°

Therefore ;

3x+64 = 5x+4

collecting like terms

5x -3x = 64-4

2x = 60

x = 60/2

x = 30

since x = 30

value of the exterior angle = 5x+4

= 5×30+4

= 150+4 = 154

therefore angle JKM = 180-( 154)

= 26°

Therefore the measure of angle JKM is 26°

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Answer:

those are the answers

Step-by-step explanation:

so basically you multiply the top number by the number in the side like: -3x^2 × 3x, -3x^2 × -5 (if that makes sense?)

Based on the number of days that the health inspector and the fire inspector visits, the table for their next 4 visits is:

Number of visits        Health Inspector visits           Fire inspector visits

          1                                             7                                          12

          2                                            14                                        24

          3                                             21                                        36

           4                                            28                                       48

The number of days till both inspectors visit on the same day is 84 days.

The model that would be best to use and solve the problem of the number of days till both inspectors visit is the Lowest Common Multiple.

This shows the number of days till both inspectors would visit based on their visiting interval.

The lowest common multiple of 7 and 12 is 84 which means that the health and fire inspectors would visit after 84 days on the same day.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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y = 1/4x + 1 is parallel to line a

-4x + y = -8 is neither parallel nor perpendicular to line a

4x + y = -3 is perpendicular to line a

From the question, we are to determine how the given equations compare to line a.

From the given information,

Line a is -x + 4y = 32

First, we will determine the slope of line a

To do this, we will compare the equation to the slope-intercept form of a line

The slope-intercept form of a line is

y = mx + b
Where m is the slope

and b is the y-intercept

Writing -x + 4y = 32 in the slope-intercept form

-x + 4y = 32

4y = x + 32

Divide through by

y = 1/4 x + 8

By comparison, the slope of line a is 1/4

NOTE: If two lines are parallel, their slopes will be equal

and

If two lines are perpendicular, their slopes will be the negative reciprocal of each other

Now, we will determine the slopes of each of the lines

For y = 1/4x + 1

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 1/4

Thus, the line is parallel to line a

For -4x+y=-8

Rewrite in the slope-intercept form of a line

-4x + y = -8

y = 4x - 8

By comparing with the slope-intercept form of a line, y = mx + b

The slope of the line is 4

4 is not equal to 1/4 and 4 is not the negative reciprocal of 1/4.

Thus, the line is neither parallel nor perpendicular to line a.

For 4x+y=-3

Rewrite in the slope-intercept form of a line

4x + y = -3

y = -4x - 3

By comparing with the slope-intercept of a line, y = mx + b

The slope of the line is -4

-4 is the negative reciprocal of 1/4.

Thus, the line is perpendicular to line a.

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Answer:80384

Step-by-step explanation: Uh you multiply the radius squared to get the answer:)

Answer:

x= 3/4

Step-by-step explanation:

x-1/4=1/2

 +1/4  +1/4

x=3/4

Answer:

y=(-3/4)+3

Step-by-step explanation:

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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