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lys-0071 [83]
3 years ago
13

Solve the inequality. 8+8(x + 4) >32 The solution is

Mathematics
2 answers:
dsp733 years ago
6 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:   x > - 1

Step-by-step explanation:

kumpel [21]3 years ago
5 0

Answer:

x  > -1

Step-by-step explanation:

To solve, we must isolate the variable, x

8+8(x + 4) >32

Distribute the 8

8+ 8*x +8*4

8+8x+ 32 >32

Combine like terms

8+32 +8x  >32

40 + 8x >32

Subtract 40 from both sides

8x  > -8

Divide both sides by 8

x  > -1

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If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.
Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - \frac{b}{a} = - \frac{-8}{1} = 8

product of zeros = αβ = \frac{c}{a} = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0
3 years ago
∫(x+1)/(x2+2)2x−3​dx need help with this question. can you show the process​
kenny6666 [7]

do you need to include the wiggle infront of the first bracket? if not;

(x+1) ÷ [(x^2+2) x (2x-3dx)]

x^2 x 2x = 2x^3

x^2 x -3dx = -3dx^3

2 x 2x = 4x

2 x -3dx = - 6dx

i cant find a way to make it equal 0 so i think the answer is just

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4 0
2 years ago
Can someone please explain step by step on how I subtract fractions like for an a example!
kotykmax [81]

Keep the denominators the same and subtract the numerators. So for example in your example:

7/8 - 3/8

Leave the 8 alone. Subtract 3 from 7.

7 - 3 = 4

So answer is:

4/8

Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2

3 0
2 years ago
Read 2 more answers
The Hendricksons are in charge of bringing treats for 5050 football players. They brought 33 coolers of popsicles and 22 coolers
antiseptic1488 [7]

Answer:

D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.

Step-by-step explanation:

We know that the Hendricksons are in charge of bringing treats for 5050 football players.  

They brought 33 coolers of popsicles and 22 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat.

 

We conclude that:

D) There will be close to 3030 football players but probably not exactly 3030 football players who get a popsicle.

7 0
2 years ago
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Fill in the blank to make the sentence true.<br> 19 − 6 = − 11
raketka [301]

Answer:

13

Step-by-step explanation:

it is very easy

19-6=-11

it is false

now the true equation is

19-6= 13

8 0
3 years ago
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