Factoring trinomials word problems.

Answers

Answer 1
Answer: So see if u can factor out the trinomial.
it's factorable.
(x+3)(×-2)

so divide that factors by (×-2)

(×-2)(×+3)
---------
(×-2)

the (×-2) cancel out, leaving x+3

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Write an equation in point-slope form for a line that passes through ( 4, 2) and has a slope of -7.
Eliza Savage received a statement from her bank showing a checking account balance of $324.18 as of January 18. Her own checkbook shows a balance of $487.38 as of January 29. The bank returned all of the cancelled checks but three. The amounts of these three checks are $15.00, $77.49, and $124.28. How much did Eliza deposit in her account between January 18 and January 29?

Give the coordinate of the point where the line crosses the (a) y-axis and (b) the x-axis for the equation y=3x+1 *

Answers

Answer:

y = 3x -1

Step-by-step explanation:

Write the equation of the line perpendicular to 3x+y=-8 that passes through (-3,1) . Write your answer in slope-intercept form.

Answers

I hope this helps you
The perpendicular vector of 3x + y = -8 would be [3, 1]. Thus, you know that the slope would be 1/3 (the vector is in the form of [x, y]).

Use point-slope form with the perpendicular slope and the point (-3, 1):
y - y_1 = m(x-x_1)
y - 1 =  (1)/(3)(x + 3)

You can simplify this if you want to (maybe to make it look a bit more "cleaner") and either put it as standard form or slope-intercept form. 

What value of x will make this proportion true 3/29 =× /116?

Answers

3 / 29 = x / 116

29 x = 116 . 3

29 x = 348

x = 348 / 29

x = 12

hope this helps!

Find x if f(x) = 2x + 7 and f(x) = -1.

Answers

Answer:  The required value of x is -4.

Step-by-step explanation:  We are given to find the value of x if :

f(x)=2x+7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\n\nf(x)=-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Since both the equations (i) and (ii) are the values of x, so comparing the equations, we get

2x+7=-1\n\n\Rightarrow 2x=-1-7\n\n\Rightarrow 2x=-8\n\n\Rightarrow x=-(8)/(2)\n\n\Rightarrow x=-4.

Thus, the required value of x is -4.

f(x) = 2x+7

-1 = 2x+7
-7        -7

-8 = 2x

-8/2 = 2x/2

-4 = x

x = -4

Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much does she pay?

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47.99-20%×47.99= $38.392 = a (price after being discounted)

Final price = a+ 6%×a = $40.69552

The new number, 200, is 400 less than the original number. What is the approximate percent change

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first, what was the original number?

it was 200+400=1000!

and when we want to know the change in percent, we divide the "new" number over the "original" number: and we'll know that percentage of the original the new number is!:

(200)/(1000) *100%= (2)/(10) *100%=(200)/(10) %=20%.

so the percent change was 80 %: the original number was reduced by (100-20)=80 %
The answer is 66%. Sorry if it is wrong.