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Minchanka [31]
3 years ago
9

What is the solution set of the equation x^2-3x-10=0

Mathematics
1 answer:
enyata [817]3 years ago
7 0
X=-2 OR X=5 hope thats your answer

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Duane and mick are saving their money to build a tree house. Duane adds $5 to their piggy bank every other week. Mick adds $2 ev
mezya [45]
The have been saving for 10 weeks.

Given:
Duane = $5 every other week. meaning every 2 weeks
Mick = $2 every week
Amount Saved = $45

First, divide Duane's $5 by 2 to get his weekly contribution.
$5/2 = $2.50

let x be the number of weeks.

Duane + Mick = $45
2.50x + 2x = 45
4.50x = 45
4.50x/4.50 = 45/4.50
x = 10 weeks

to check:
2.50x + 2x = 45
2.50(10) + 2(10) = 45
25 + 20 = 45
45 = 45
3 0
4 years ago
Read 2 more answers
The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in
Anon25 [30]

We have been given a quadratic function f(x)=(x-5)^{2} +2 and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is [2,\infty).

If we restrict the domain of this function to either (-\infty,5] or [5,\infty), it will become one to one function.

Let us know find its inverse.

y=(x-5)^{2}+2

Upon interchanging x and y, we get:

x=(y-5)^{2}+2

Let us now solve this function for y.

(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\

Hence, the inverse function would be f^{-1}(x)=5+\sqrt{x-2} if we restrict the domain of original function to [5,\infty) and the inverse function would be f^{-1}(x)=5-\sqrt{x-2} if we restrict the domain to (-\infty,5].

8 0
3 years ago
What is the area of the trapezoid?
kykrilka [37]
To find the area of the trapezoid you add the two bases then multiply by the base and divide by 2. 

B1+b2= 24+16=40
40*h=40*12=480
480/2=240

D. 240 square feet.
8 0
3 years ago
Stan had 15 apples and gave 10 to his sister. If he had 21 apples and wanted to give the same percentage to his sister, how many
DENIUS [597]

10 x

15 100

15x=1000

x= 66.6666

ANSWER IS 14

8 0
3 years ago
If a triangle with vertices A(-1, 4), B(-1, -2), C(2, -2) is dilated with a scale factor of 2 and a center of dilation at the or
givi [52]

Answer:

A' (-2,8) B' (-2,-4) C' (4,-4)

Step-by-step explanation:

Dilations Rule :

(x,y) → (kx,ky)

Scale factor = K

When your scale factor is more than one our triangle gets bigger. When your scale factor is less than one our triangle gets smaller.

( you plug in 2 in every point and those are your answers).

Remember negative times negative is positive and positive times negative is negative.

5 0
3 years ago
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