Are (3x + 1)(x + 2) and 3x2 + 7x + 2 equivalent?​

Answer:

x = 1 2/3 hours

Step-by-step explanation:

We can use ratios to solve

150 miles          100 miles

---------------- = ---------------

2.5 hours          x hours

Using cross products

150x = 2.5*100

divide each side by 150

150x/150 = 250/150

x = 1 2/3 hours

Answer:

1000 inches

Step-by-step explanation:

V= a3=103=1000in³

Answer:1,000in3

Step-by-step explanation:

V=LxWxH

V=10x10x10

V= 1,000

Answer:

A, C

Step-by-step explanation:

If it is inversely proportional then y = k/x

Let's try one by one for the options. (im replacing y and x in the equation and finding k to see if k is the same all throughout)

A.

6 = k/1 (k=6)

3 = k/2 (k=6)

2 = k/3 (k=6)

1.5 = k/4 (k=6)

Yes! It's the same everywhere so this is correct!

B.

7.5 = k/2 (k=15)

5 = k/3 (k=15)

3 = k/5 (k=15)

2 = k/7 (k=14)

For the last one k is not the same so nope. It is wrong.

C.

24 = k/1 (k=24)

8 = k/3 (k=24)

k = 6×4 = 24

k = 24×1 = 24

This is correct too.

D.

k = 0.1×200 = 20

k = 0.3×40 = 12

k = 0.8 × 25 = 20

We can already see that k is not the same everywhere.

Only A and C, x and y are inversely proportional for all of the values

Answer: c

Step-by-step explanation:

Answer:

1 = non proportional

Step-by-step explanation:

2 = proportional

Answer: 2/5 < 5/8

Step-by-step explanation: Find the least common denominator.

In this case the LCD is 40

we multiply the fractions by 40:

16/40 < 25/40

The comparisons shows that 2/5 less than 5/8

Answer: two fifths < five eighths

Step-by-step explanation:

2/5 < 5/8

Mulitiply by 8 because the L.C.M (lowest common multiple) is 40

16/40 < 25/40

Hope that helps! Please make me Brainliest!

Answer:

88

Step-by-step explanation:

Answer:

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

C = 2 * pi * 3.5

C = 7pi yds

If we approximate pi by 3.14

C =21.98 yds

If we approximate pi by the pi button

C =21.99114858 yds

Answer:  -7

Step-by-step explanation: To find the mean, here is the equation =

Divide the sum of all values in a data set ÷ the number of values = mean (average)

Step 1 :

So we do =

17 + -25 + 3 + -29 + -15 + 7 = -42

So the sum of the integers is -42

Step 2 :

We divide the sum by the number of values.

17, -25, 3, -29, -15, 7

1      2   3     4      5   6

So there are 6 values.

We do =

-42 ÷ 6 = -7

So the mean (average) of these integers is -7

Make my answer the brainliest!

Answer:

B

Step-by-step explanation:

Angle at right angle + 1/2 angle at right angle

\(90 +( \frac{1}{2} \times 90)\)

\(90 + 45\)

\(135\)

I wish i could help you but i can't

sorry

Answer:

1064

Step-by-step explanation:

To calculate the number of students the high school is anticipating next year, we need to find 12% of the current enrollment and add it to the current enrollment:

12% of 950 = 0.12 * 950 = 114

So the high school is anticipating an additional 114 students next year.

To find the total anticipated enrollment, we add the additional 114 students to the current enrollment of 950:

Total anticipated enrollment = 950 + 114 = 1064

Therefore, the high school is anticipating 1064 students next year.

The coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).

Scale factor = \(2\frac{1}{2}\)

= 2.5

The reflection of point (x, y) across the x-axis is (x, -y).

Here, N(-4, 6)→(-4, -6)

M(-6, 2)→(-6, -2)

G(-2, 4)→(-2, -4)

Now, with scale factor 2.5, we get

(-4, -6)→2.5(-4, -6)→N'(-10, -15)

(-6, -2)→2.5(-6, -2)→M'(-15, -5)

(-2, -4)→2.5(-2, -4)→G'(-5, -10)

Therefore, the coordinates of vertices N'G'M'​ are N'(-10, -15), M'(-15, -5) and G'(-5, -10).

To learn more about the reflection over x-axis visit:

https://brainly.com/question/15175017.

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Answer:

B rolling an odd number on a fair 6-sided number cuberolling an odd number on a fair 6-sided number cube

Step-by-step explanation:

\(probability = \frac{3}{6} \\ = \frac{1}{2} \)

Answer: The answer is B, use the distributive property on each side of the equation.

Answer:(-1,2)

Step-by-step explanation:

Answer:while reflecting over x-axis, only y value change. all y values is going to change sign, I.e positive will become negative and negative becomea positive

this is how you reflect over x axis,

HOPE IT WAS HELPFUL

The image of the reflection can be seen in the image at the end of the answer.

Remember that, for a point (x, y) a reflection across the x-axis gives the image (x, -y).

If we apply the reflection to the vertices of the triangle, we will get:

Now you can just graph these 3 points and connect them, an example can be seen at the end of the answer.

If you want to learn more about reflections, you can read:

https://brainly.com/question/4289712

                                         Your answer should be:

                                                          6.28

            ⊕If this answer is wrong or displeases you, please tell me in the comments, I would like to know.⊕

Thank you.

---Juri Davis

\( \bf{= \frac{64 {x}^{3} - 1 }{4x - 1} }\\ \\ \bf{= \frac{( \cancel{4x - 1})(16 {x}^{2} + 4x + 1) }{ \cancel{4x - 1}}} \\\\ \bf{= 16 {x}^{2} + 4x + 1}\)

Answer:

\(16x^2+4x+1\)

Step-by-step explanation:

Given expression:

\(\dfrac{64x^3-1}{4x-1}\)

Factor the numerator of the given expression.

Rewrite 64 as 4³ and 1 as 1³:

\(\implies (4^3)x^3-1^3\)

\(\textsf{Apply the exponent rule} \quad a^b \cdot c^b=(ac)^b:\)

\(\implies (4x)^3-1^3\)

\(\textsf{Apply the Difference of Cubes Formula} \quad x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right):\)

\(\implies (4x)^3-1^3=(4x-1)\left((4x)^2+4x(1)+(1)^2\right)\)

\(\implies (4x)^3-1^3=(4x-1)\left(16x^2+4x+1\right)\)

Replace the numerator in the given expression with the factored numerator from step 1:

\(\implies \dfrac{64x^3-1}{4x-1}=\dfrac{(4x-1)\left(16x^2+4x+1\right)}{4x-1}\)

Cancel the common factor (4x - 1):

\(\implies 16x^2+4x+1\)

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

Answer:

$8659

Step-by-step explanation:

Patricia's sales = $ 72,900

Her commission = 11% of $72,900

= 11/100 * 72,900 [ % means out of 100 and of means to multiply ]

= 11 * 729

= $ 8019

Her monthly salary = $640

Her monthly salary along with commission = $640 + $8019

= $8659

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

1307 is the commission plus the monthly salary so it would be

$640+$1307=2247

Step-by-step explanation:

Answer is $2247

Answer:

A function is a mathematical relation in which each input (domain value) is associated with exactly one output (range value). In other words, for a relation to be a function, each input can have only one corresponding output. Let's analyze the given pairings:

(a person’s age in years, that same person’s height in inches) - This can be a function because one person's age in years should correspond to a single height in inches.

(a person’s weight in pounds, that same person’s height in inches) - This can also be a function because one person's weight in pounds should correspond to a single height in inches.

(a person’s height in centimeters, that same person’s height in inches) - This can be a function because one person's height in centimeters should correspond to a single height in inches.

(a person’s telephone number, that same person’s height in inches) - This may not necessarily be a function. It's possible for two different people to have the same height in inches but different telephone numbers.

So, the pairings that always describe a function are:

(a person’s age in years, that same person’s height in inches)

(a person’s weight in pounds, that same person’s height in inches)

(a person’s height in centimeters, that same person’s height in inches)

These three pairings meet the criteria of a function, where each input corresponds to a unique output.

The pairing that always describes a function is option C. (a person’s height in centimeters, that same person’s height in inches)

A pairing describes a function when each unique input (domain element) is associated with exactly one unique output (range element). In other words, there should be no ambiguity or multiple outputs for a single input. Let's analyze the given pairings:

1. (a person’s age in years, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same age, but they might have different heights. So, there can be multiple outputs for the same input (age).

2. (a person’s weight in pounds, that same person’s height in inches): Similar to the first pairing, this may not always describe a function because different people can have the same weight but different heights.

3. (a person’s height in centimeters, that same person’s height in inches): This pairing describes a function because for each unique height in centimeters, there is only one corresponding height in inches.

4. (a person’s telephone number, that same person’s height in inches): This pairing may not always describe a function because multiple people can have the same telephone number, but they might have different heights. So, there can be multiple outputs for the same input (telephone number).

So, the pairing that always describes a function is: (a person’s height in centimeters, that same person’s height in inches)

learn more about function describing pairs: https://brainly.com/question/31919824

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Answer:

4

Step-by-step explanation:

First, you would have to prime factorize both of the numbers. The prime factorization of 24 is 24 = 2*2*3*3, and the prime factorization of 32 is 32 = 2*2*2*2*2 or 2^5. After that, you would find what is most common:

24 = 2*2*3*3

32 = 2*2*2*2*2

What is common is that there is two 2's in each equation. 2*2 is 4, so the answer is 4.

Hope this helps! <3

Answer:

m<E = 45

Step-by-step explanation:

We are given a right angled triangle DEF, with 2 sides of equal length 11 units. We are required to find <E.

To know which trigonometric ratio formula to apply, note the following:

Opposite side = adjacent side = 11 units.

Therefore, we use the following to find <E:

\( tan E = \frac{opposite}{adjacent} = \frac{11}{11} \)

\( tan E = 1 \)

\(E = tan^{-1}(1)\)

\( E = 45 \)

Answer:

x to the ninth power

Step-by-step explanation:

Answer:7,065

Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14