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3 years ago

Solve the equation. 6x^2 + 24x + 18

1 answer:

8 0

We can factor the equation.

$6x^2 + 24x + 18 \\ \\ GCF = 6 \\ \\ 6 ( \frac{6x^2}{6} + \frac{24x}{6} + \frac{18}{6} ) \ / \ factor \ out \ GCF \\ \\ 6(x^2 + 4x + 3) \ / \ simplify \ parentheses \\ \\ 6 (x + 1)(x + 3) \ / \ factor \ parentheses \\ \\ Answer: \fbox {6(x + 1)(x + 3)}$

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Lines a and b are parallel. When they are cut by transversals, they form a triangle Parallel lines a and b are cut by transversa

lord [1]

Answer:

Therefore, the angle 3 have 28 degrees.

Step-by-step explanation:

We know that the lines a and b are parallel. When they are cut by transversals, they form a triangle. Parallel lines a and b are cut by transversals s and t to form a triangle. Angle 1 is 90 degrees, angle 2 is 62 degrees.

We know that the number of degrees in a triangle equals 180.

We get:

$90+62+x=180\\\\152+x=180\\\\x=180-152\\\\x=28\\$

Therefore, the angle 3 have 28 degrees.

6 0

4 years ago

Read 2 more answers

Alex and Peter win some money and share it in the ratio 3:5. Alex gets £33. How much did Peter get?

IgorLugansk [536]

Answer:

Step-by-step explanation:

Set it up as fractions, Alex over Peter.

3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11

What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.

Peter will get 55. Don't forget the pound symbol.

5 0

3 years ago

50 POINTS FOR THE CORRECT ANSWER!!!

Irina18 [472]

Answer:

Step-by-step explanation:hi

8 0

4 years ago

Read 2 more answers

Simplify (shown in photo)<br> A: 2^1/6<br> B: 2^2/3<br> C: 2^5/6<br> D: 2^7/6

mihalych1998 [28]

Your answer would be C

(√2)(∛2)

( $\sqrt[6]{2^3}$ )( $\sqrt[6]{2^2}$ )

$\sqrt[6]{2^5}$ = $\sqrt[6]{32}$

If you do 2^5/6

$\sqrt[6]{2^5}$ = $\sqrt[6]{32}$

5 0

3 years ago

In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti

elena-14-01-66 [18.8K]

Answer:

y = 0.3035 + 0.0082x

0.6315 mm

x = 23.9634 °C

Step-by-step explanation:

a. Compute the least-squares line for predicting warping from temperature. Round the answers to four decimal places.

We need to find an equation of the form

y = b + mx

where m is the slope and b the Y-intercept.

The slope m can be computed with the formula

$\bf m=\displaystyle\frac{\displaystyle\sum_{i=1}^n(x_i-\bar x)(y_i-\bar y)}{\displaystyle\sum_{i=1}^n(x_i-\bar x)^2}$

Replacing the values in our formula (we will round at the end of the calculations)

$\bf m=\displaystyle\frac{806.94}{98,775}=0.008169476$

the Y-intercept b is computed with the formula

$\bf b=\bar y-m\bar x$

therefore we have

$\bf b=0.5188-0.008169476*26.36=0.303452613$

and the least-squares line rounded to 4 decimals would be

y = 0.3035 + 0.0082x

b. Predict the warping at a temperature of 40°C. Round the answer to three decimal places.

We simply replace x with 40 to get

y = 0.3035 + 0.0082*40 = 0.6315 mm

c. At what temperature will we predict the warping to be 0.5 mm? Round the answer to two decimal places

Here, we replace y with 0.5 and solve for x

0.5 = 0.3035 + 0.0082x ===> x = (0.5-0.3035)/0.0082 ===>

x = 23.9634 °C

6 0

4 years ago