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irinina [24]
3 years ago
15

NEED HELP ASAP - EXTRA POINTS

Mathematics
1 answer:
Alik [6]3 years ago
3 0
Option D is the answer to your question!!!
Hope this helps you!!!

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Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form
mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

          = x^2 + 10x + 25 - 18

          = (x + 5)^ - 18

          = (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

6 0
3 years ago
PLEASE I NEED HELP ON THIS ONE TOO THANK YOU BRAINLY IF CORRECT TYSM PLEASE HELP
Kisachek [45]

Answer:

C. The cabinet

Step-by-step explanation:

The executive branch besides the president also includes the advisors that help the president make decisions.

The House of Representatives and U.S. Senate are part of the Legislative Branch (Law and Order).

The Supreme Court is the only organization that makes up the Judicial Branch.

4 0
3 years ago
Jacob is solving a quadratic equation. He executes a
Yuki888 [10]
The answer is D). A perfect square

b2 - 4ac > 0

Roots are real, unequal and rational.
7 0
2 years ago
Read 2 more answers
The average weight of 3 containers A,B and C is 3.2kg. Container A is twice as heavy as container B. Containers B is 400 g heavi
dlinn [17]

Answer:

The weight of container C is 2.1kg.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the weight of container A.

y is the weight of container B.

z is the weight of container C.

The average weight of 3 containers A,B and C is 3.2kg.

This means that the total weight is 3*3.2 = 9.6kg. So

x + y + z = 9.6

Container A is twice as heavy as container B.

This means that x = 2y.

Containers B is 400 g heavier than container C.

400g is 0.4kg. So

This means that y = z + 0.4, or z = y - 0.4

Replacing y and z as functions of x in the first equation:

x + y + z = 9.6

2y + y + y - 0.4 = 9.6

4y = 10

y = \frac{10}{4} = 2.5

Container C

z = y - 0.4 = 2.5 - 0.4 = 2.1

The weight of container C is 2.1kg.

4 0
3 years ago
What is the solution set of {x | x < -3} ∩ {x | x > 5}?
valentinak56 [21]

Answer:

the empty set  {∅}

Step-by-step explanation:

{x | x < -3} ∩ {x | x > 5} is giving us

(-∞, -3) intersecting (5, ∞).

Since those two intervals do not intersect the solution is the empty set

7 0
2 years ago
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