3. For the pair of polynomials given, select all points of intersection.
f(x) = (x + 7)(x – 5)
g(x) = x-5
a. (-8, -13)
b. (-7,0)
C. (-5, -10)
d. (-6, -11)
e. (5,0)

the value of n is 9 for The probability that two blue cars are chosen is I/7.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A company fleet has six blue and n white cars. Two cars are chosen without replacement.

From the general formula of probability:

Probability = desired output/ total output

In our case,

Desired output = 2 ²C₆

Desired output = 2 * 15

Desired output = 30

Total output = ²Cₙ ₊ ₆/2

Total output = (n+ 6)(n +5)

Since The probability that two blue cars are chosen is I/7.

30 /  (n+ 6)(n +5) = 1/7

(n+ 6)(n +5) = 210

n² + 11n  +30 = 210

n² + 11n -180 = 0

n² + 20n - 9n -180 = 0

(n + 20)(n -9) = 0

thus, n will be either 9 or -20

Since the number of cars cannot be negative

Therefore, the value of n will be 9

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After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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#3 maybe be wrong, sorry if it is

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Yes, there is an analogous ratio between 2:1 and 20:10.

We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.

By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.

As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.

The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:

20 ÷ 10 : 10 ÷ 10

= 2 : 1

As a result, both ratios have the same reduced form, 2:1, making them equal.

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In order to determine how much will Abraham have to pay, proceed as follow:

- calcualte the 13% of 4,750:

- calculate the 20% of the previous result:

- for six months the cost of Abraham's clothing woud be:

- sum the costs of the estimated totals for the six-months period that Abraham made:

- subtract the available money for Abraham's clothing ($741) to the estimated cost of the clothes made by Abraham:

Hence, it is necessary that Abraham have to pay an additional amount of $164 to complete the expenses about his clothes.

Step-by-step explanation:

\( = - \frac{5}{9} - ( - \frac{14}{15} )\)

\( = - \frac{5}{9} + \frac{14}{15} \)

\( = - \frac{5 \times 5}{9 \times 5} + \frac{14 \times 3}{15 \times 3} \)

\( = - \frac{25}{45} + \frac{42}{45} \)

\( = \frac{ - 25 + 42}{45} \)

\( = \frac{42 - 25}{45} \)

\( = \frac{17}{45} \)

Answer:

\(\frac{9}{8} [W]\ and \ \frac{3}{4} [S].\)

Step-by-step explanation:

1. if the weight of Whisters is 'w', then the weight of Scamp is 'w-3/8'; then

2. it is possible to make up the equation:

\(w+w-\frac{3}{8}=1\frac{7}{8};\)

3. if to solve this equation, then w=9/8 - this is the weight of Whiskers;

the weight of Scamp is 9/8-3/8=6/8=3/4 [pounds].

Answer:

X=-1

Y=3

Z=-2

Step-by-step explanation:

X=-1

Y=3

Z=-2

Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

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Answer:

Step-by-step explanation:

1. Let's see. One time $10 and $3.50 per hour. So $10+$3.50x(where x represents number of hours)

2. Put in the value of x(substitute it).

$10+$3.50x

$10+$3.50(5)

$10+$17.50

Answer-$27.50

Hope it helps!

Answer:

B or (0,8)

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:

Step-by-step explanation:

there are a many 0s as the exponent of 10 indicates.

10¹ = 10

10² = 100

10³ = 1000

10⁴ = 10,000

10⁵ = 100,000

...

whatever we have at the beginning, a multiplication by a power of 10 means we add as many 0s as that exponent indicates.

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Elena can make 20/3 cups of purple paint

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.

Since Elena has 2/3 cup of white paint. then;

1 1/2 cups of red paint (1 1/2=1.5)

1/2 cup of white paint (1/2=0.5)

Then the ratio is 3:1.5:0.5

Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)

Let x the number of cups of purple paint

5/ 0.5 = x / (2/5)

x = 20/3 cups of purple paint

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Answer:

-2,-6,0,4,8

Step-by-step explanation:

-2 is the least because all other numbers are greater than it(i.e any negative number is less than 0)

The LCM of 4 and 6 is 12.

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, common multiples of 4 and 6 are 12, 24 and 36, but the lowest of those is 12; therefore, the lowest common multiple of 4 and 6 is 12.

Given:

4: 2 x 2

6: 2 x 3

Now, as there is one 2 common in both then it will be written for one time.

and the rest uncommon numbers are written as same as well.

So, LCM( 4, 6)= 2 x 2 x 3 = 12

Hence, the LCM of 4 and 6 is 12.

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Answer:2

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

A. \( \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x\) (first option)

➡️ \( \cos(x + 2x) \)

➡️ \( \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x\)

➡️ \( \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) \)

➡️ \( \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) \)

➡️ \( \cos(x) - 4 \cos(x) \sin^{2} x\)

Answer:

48/30   3/18   40/16   6/9   21/49   20/15   18/24   30/25  8/16

Step-by-step explanation:

Find the common denominator, then whatever it is, multiply the top to match it. For examples you start with 7/5 and you are trying to get the denominator to 25, you would multiply 7x5 which equals 35/25. Hope this helps.

Answer:

48/30   3/18   40/16   6/9   21/49   20/15   18/24   30/25  8/16

Step-by-step explanation:

Find the common denominator, then whatever it is, multiply the top to match it. For examples you start with 7/5 and you are trying to get the denominator to 25, you would multiply 7x5 which equals 35/25. Hope this helps.

The author of the review is disappointed with the meatball sub casserole recipe posted on Recipe Masters, which did not turn out well despite following the recipe.

The author recommends that others should not attempt to make the recipe and believes that Recipe Masters should ensure that their posted recipes are reliable and thoroughly tested. The author also implies that the quality of the recipes on Recipe Masters is not as advertised, which could potentially lead subscribers to lose faith in the service and seek out free recipe sites instead.

Therefore, a suitable summary of the author's point of view would be: The author is dissatisfied with the meatball sub casserole recipe on Recipe Masters, which did not work out well and believes that Recipe Masters should provide reliable, thoroughly tested recipes as advertised.

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The quadratic inequality equation in standard form that contains the points in the later experiments is y ≤ - 3x² + 24x + 12.

The equation for the motion of the projectile is calculated as follows;

h = h(0) + vt - ¹/₂gt²

From the given options, the quadratic inequality equation in standard form that contains the points in the later experiments is;

y ≤ - 3x² + 24x + 12

proof, when x = 4 s

y ≤ - 3(4)² + 24(4) + 12

y ≤ 60

Thus, the quadratic inequality equation in standard form that contains the points in the later experiments is y ≤ - 3x² + 24x + 12.

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Answer:

c

Step-by-step explanation:

wrong

The standard form of a linear equation is given by:

So:

For:

We need to isolate the constant term, so subtract 1.125x from both sides:

Answer:

-1.125x + y = 1.431

Answer:

15 shirts

Step-by-step explanation:

Store A charges 12.50 for a custom shirt with 0.40 per each custom character. Store B charges 14.75 for the same shirt but charges 0.25 per each custom character would make the cost from both stores the same

A: 12.5 + 0.40x

B: 14.75 + 0.25x

12.5 + 0.40x = 14.75 + 0.25x

subtract 12.5 from both sides:

12.5 + 0.40x - 12.5 = 14.75 + 0.25x - 12.5

0.40x = 2.25 + 0.25x

subtract 0.25x from both sides:

0.40x - 0.25x = 2.25 + 0.25x - 0.25x

0.15x = 2.25

divide both sides by 0.15:

0.15x/0.15 = 2.25/0.15

x = 15

Answer:

\(\frac{4}{98}\)

Step-by-step explanation:

→ Simplify the (2/7)² term

\((\frac{2}{7} )^{2} =\frac{2}{7} *\frac{2}{7}=\frac{4}{49}\)

→ Simplify the 2² term

\(2^{2} =2*2=4\)

→ Evaluate

\(\frac{4}{49} /2=\frac{4}{49} *\frac{1}{2} =\frac{4}{98}\)

Answer:

\(\frac{1}{49}\)

Step-by-step explanation:

\(\frac{2}{7}*\frac{2}{7}\)÷4

\(\frac{2}{7}*\frac{2}{7}\) * \(\frac{1}{4}\)

=\(\frac{4}{196}\)

4 and 196 can cancel out so in lowest term

=\(\frac{1}{49}\)

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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