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4 years ago

Need HelpPlease Show Work

Mathematics

1 answer:

sergejj [24]4 years ago

8 0

Hi there! :)

Answer:

y = -2x + 3

Step-by-step explanation:

We can write an equation in slope-intercept form. Use the slope formula to find the rate of change in the table:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Plug in values from the table:

$m = \frac{5 - 7}{-1 - (-2)}$

Simplify:

m = -2 (rate of change)

Use a point from the table (-2, 7) and the slope to solve for the equation for the linear function:

7 = -2(-2) + b

7 = 4 + b

7 -4 = b

b = 3

Rewrite:

y = -2x + 3 is the equation for the linear function.

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A plain travels 3400 miles in 8 hours. How far will it travel in 6 hours at this rate

pashok25 [27]

Answer:

2550 miles in 6 hours

Step-by-step explanation:

if you divide the miles and hours by each other you will get the m/ph (miles per hour)

3400 ÷ 8 = 425

now, that we know the plane travels 435 m/ph, then if we multiply it by 6 we will get the answer

425 × 6 = 2550

4 0

3 years ago

523 x = 523 x = last one

Sphinxa [80]

Answer:

X has an infinite number of solutions

0 = 0

Step-by-step explanation:

Hey there!

Given,

523x = 523x

Simplify

523x = 523x

-523x to both sides

0 = 0

So x has an infinite number of solutions.

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Sandra sells necklaces at a school craft fair. She uses the equation P= 7.5n - (2.25n + 15) to determine her total profit at th

gregori [183]

The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive.

So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation

Focus on the revenue equation
R = 7.5n
which is the same as
R = 7.50*n

This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue

As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n

So that's why the answer is $7.50

Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect.

8 0

3 years ago

what is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1 + square root2

Marta_Voda [28]

If the roots to such a polynomial are 2 and $1+\sqrt2$ , then we can write it as

$(x-2)(x-(1+\sqrt2))$

courtesy of the fundamental theorem of algebra. Now expanding yields

$(x-2)(x-1-\sqrt2)=x^2-2x-(1+\sqrt2)x+2(1+\sqrt2)=x^2-(3+\sqrt2)x+2+2\sqrt2$

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.

So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use $1-\sqrt2$ as a root. In this case, that would make our polynomial

$(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2$

so that the answer is (probably) the third choice.

Whoever originally wrote this question should reevaluate their word choice...

5 0

3 years ago

What the answer of 4 / 1 1/8

ICE Princess25 [194]

If you mean 4 / (11/8)

= 4 * 8/11
= 32/11

= 2 10/11
= 2.909

4 0

3 years ago

Need Help*Please Show Work*​

Need HelpPlease Show Work