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marishachu [46]
4 years ago
12

What are the solutions of the equation x^2 - 30 = x?

Mathematics
1 answer:
sashaice [31]4 years ago
8 0

Answer:

x = 6 , − 5

Step-by-step explanation:

Move  x   to the left side of the equation by subtracting it from both sides.  x^ 2 − 30 − x = 0

x2-30-x=0

Use the quadratic formula to find the solutions. − b ± √ b 2 − 4 ( a c )/ 2 a  

-b±b2-4(ac)/2a  

Substitute the values  

a = 1  ,  b = − 1  , and  c = − 30  

into the quadratic formula and solve for  x

x . 1 ± √ ( − 1 ) 2 − 4 ⋅ ( 1 ⋅ − 30 )/ 2 ⋅ 1    

Simplify.

x = 1 ± 11/ 2    

The final answer is the combination of both solutions.

x = 6 , − 5

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Which point does NOT lie on the graph of the line x + 2y = 9?
Soloha48 [4]

Answer:

b (2, -1) is your answer for this question

5 0
3 years ago
Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are
Gennadij [26K]

Answer:

7/12

Step-by-step explanation:

total: 12 roses

white roses: 5

pink roses: 7

fraction of pink roses = 7/12

4 0
3 years ago
Let ƒ(x) = x^2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).
FinnZ [79.3K]

Answer:

The answer is option D.

Step-by-step explanation:

f(x) = x² + 2x

g(x) = 2x

To find (ƒ ∘ g)(2) first find (ƒ ∘ g)

To find (ƒ ∘ g) wherever you see x in f(x) replace it with g(x)

That's

(ƒ ∘ g) = (2x)² + 2(2x)

= 4x² + 4x

Substitute 2 into the expression

That's

(ƒ ∘ g)(2) = 4(2)² + 4(2)

= 4(4) + 8

= 16 + 8

= 24

Hope this helps you.

7 0
4 years ago
I need help on this
andrey2020 [161]
Wow that looks really hard andddddd I'm dumb sorry
5 0
4 years ago
The cost of a Whoppie Burger is $2.75 and a Whoppie Jr. Burger is $1.00. If 32 total burgers are ordered for a class, find the f
Viktor [21]

Answer:

c. C(x) = 88 - 1.75x

Step-by-step explanation:

Let's represent this with an equation. We know that the total number of burgers is 32, and the number of Whoppie Jr. is x, so the number of Whoppie is 32-x.

Each Whoppie costs 2.75, and each Whoppie Jr. costs 1, so multiply the cost by the number to get the equation:

C(x) = 1x + 2.75(32-x)

Now distribute and simplify.

C(x) = 2.75*32 + 1x -2.75x

<u>C(x) = 88 -1.75x</u>

5 0
3 years ago
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