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3 years ago

EXPERTS AND ABOVE ONLY

Mathematics

1 answer:

yawa3891 [41]3 years ago

8 0

1. This must be greater than or equal to 0 (there can't be any negatives!)
8 - .5t ≥ 0.
8 ≥ .5t
t ≤ 16
D.

2. 4(2x-1) = 2x + 35
8x - 4 = 2x + 35
6x = 39
x = 6.5
H.

3. c = .8(x-15) = .8x-12
A.

4. m = number of marble cupcakes
s = number of strawberry shortcake cupcakes

6m + 8.5s = 391
m = 1/2s
6(.5s)+8.5s = 391
11.5s = 391
s = 34
m = 17
F.

5. B
6. Use substitution
2x + 3x = 10
5x = 10
x = 2

7. (sorry I'm not sure!)

8. G
9. L = number of balls
B = number of bats
L + B = 100
B = 100 - L
4.5L+20B = 822
4.5L + 20(100-L) = 822
4.5L -20L + 2000 = 822
1178 = 15.5L
L = 76

10. J

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Pls help i don’t know how to do this

Ne4ueva [31]

Step-by-step explanation:

to do what ?

the calculation of the 2 solutions for the quadratic equation is already done here.

so, what else do you need ? an explanation ?

in general, a quadratic equation looks like

ax² + bx + c = 0

and the formula for the solutions is

x = (-b ± sqrt(b² - 4ac))/(2a)

remember, a linear equation (x¹) has one zero solution.

a quadratic equation (x²) has 2 zero solutions.

a cubic equation (x³) has 3 zero solutions.

and so forth.

the 2 solutions here are created by the "±" operation. one solution is using the "+". and the other the "-". that is all.

so, what happened here was simply putting the values of the given equation into the solution formula and doing the calculations.

and the final line is saying that the solutions are the set of the 2 numbers represented by the "±" expression.

to finish this up for better clarity :

the first solution is

x = (-17 + sqrt(217))/4 = -0.567270034...

the second solution is

x = (-17 - sqrt(217))/4 = -7.932729966...

is there anything still unclear ? please let me know.

6 0

2 years ago

If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea

777dan777 [17]

Answer:

The lengths of side A is 22.4 and B is 11.9.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be $x.$

So, the side A be $2x.$

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

$(2x)^2+(x)^2=(25)^2$

$4x^2+x^2=625$

$5x^2=625$

Dividing both sides by 5 we get:

$x^2=125$

Using square root on both sides we get:

$x=11.18.$

B rounding to the nearest tenth = 11.9.

Now, to get A by substituting the value of $x$ :

$2x\\=2\times 11.18\\=22.36.$

A rounding to the nearest tenth = 22.4.

Therefore, the lengths of side A is 22.4 and B is 11.9.

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Topic: Solving exponential equations. Solve for the value of x. 1. 5^x+1= 5^2x-3

liraira [26]

X= 0.2034394 or 14.50799581 . I hope this helps

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3 years ago

In rectangle abcd measure of angle d =(3x+15) measure b =(6x-42) find measure of angle a

slava [35]

5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
$6x-42=3x+15\\3x=57\\x=19$

Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B = $6(19)-42=72$
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.

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What is the range of f(x) = ( 3/4 ) x - 4?

worty [1.4K]

it's B

I just took the test

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