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2 years ago

Subtract -7x + 6 from -2x^2 + 9x - 2

Mathematics

1 answer:

JulsSmile [24]2 years ago

4 0

Answer:

$( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8$

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Julio makes a scale drawing of the kitchen floor to determine how

tatuchka [14]

The scale drawing of Julio's kitchen would change the kitchen size

The actual area is 243 square feet

<h3>How to determine the actual area of Julio's kitchen?</h3>

The parameters are given as:

Length = 4.5 inches
Width = 3.375 inches

Start by converting the dimensions to feet using the scale ratio

Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feet
Actual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feet

The area is then calculated as:

Actual Area = Actual length * Actual Width

This gives

Actual Area =18 feet * 13.5 feet

Evaluate the product

Actual Area = 243 square feet

Hence, the actual area is 243 square feet

Read more about scale drawings at:

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1 year ago

1. Consider the figure below.

Illusion [34]

Answer:

A triangle sums to 180
x-48+2x-164+x= 180
4x-212=180
x= 90

m<A= 16
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1 year ago

Can someone answer this for me

ladessa [460]

The linear equation in standard form is:

6x - 7y = -11

Which is the last option.

<h3>How to get the equation of the line?</h3>

The line in slope-intercept form is written as:

y = a*x + b

We can see that the line passes through the points (-3, -1) and (1/2, 2), then the slope is:

$a = \frac{2 - (-1)}{1/2 - (-3)} = \frac{3}{3.5} = \frac{6}{7}$

Then we can write:

y = (6/7)*x + b

To find the value of b, we use the first point. It means that when x = -3, the value of y is -1, then we get:

-1 = (6/7)*-3 + b

-1 + 18/7 = b

-7/7 + 18/7 = b

11/7 = b

Then the equation is:

y = (6/7)*x + 11/7

If we multiply both sides by 7 we get:

7y = 6x + 11

Now we move the term with "x" to the left:

7y - 6x = 11

That is the line in standard form.

If we multiply both sides by -1, we get the last option:

6x - 7y = -11

If you want to learn more about linear equations:

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1 year ago

Read 2 more answers

NA ≅ PA, MO ⊥ NA, RO ⊥ PA, MO = 5 feet What is PO?

il63 [147K]

Answer: A I did the work on my notebook by the way.

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2 years ago

Consider the null hypothesis, H0: µ = 4,000, at the 1% level of significance. If the z-test statistic is calculated to be 6.00,

kow [346]

Answer:

Option B) Reject null hypothesis

Step-by-step explanation:

We are given the following in the question:

We are given the null hypothesis:

$H_0 = 4,000$

$\alpha = 0.01$

$z_{stat} = 6.00$

Two tailed z-test

Now, $z_{critical} \text{ at 0.01 level of significance } = \pm 2.58$

Since,

The calculated z-statistic does not lie in the acceptance region, we fail to accept and reject the null hypothesis.

Left-tailed z-test

Now, $z_{critical} \text{ at 0.01 level of significance } = -2.58$

Since,

$z_{stat} > z_{critical}$

We fail to accept and reject the null hypothesis.

Right-tailed z-test

Now, $z_{critical} \text{ at 0.01 level of significance } = 2.58$

Since,

$z_{stat} > z_{critical}$

We fail to accept and reject the null hypothesis.

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2 years ago