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Sholpan [36]
3 years ago
15

Algebra Level: High School

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Answer:

The first equations' answer is 21 and the second answer is 34

Hope this helps and please mark as brainliest!!

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Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
Sladkaya [172]

Given:

The quadratic equation is

-2x^2-y+10x-7=0

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

We have,

-2x^2-y+10x-7=0

It can be written as

-2x^2+10x-7=y

y=-2x^2+10x-7           ...(i)

Here, a=-2,b=10,c=-7.

\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}

\dfrac{-b}{2a}=\dfrac{-10}{-4}

\dfrac{-b}{2a}=\dfrac{5}{2}

Putting x=\dfrac{5}{2} in (i), we get

y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7

y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7

y=\dfrac{-50}{4}+25-7

y=\dfrac{-25}{2}+18

On further simplification, we get

y=\dfrac{-25+36}{2}

y=\dfrac{11}{2}

So, the vertex of the given quadratic equation is \left(\dfrac{5}{2},\dfrac{11}{2}\right).

Therefore, the correct option is A.

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3 years ago
Find the surface area of the cube shown.
Alja [10]

A=6a^2

A=6(5.5)^2

A=181.5

Hopefully I answered correctly.

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3 years ago
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Write a recursive formula for the sequence 7, 4, 1, –2, –5, .... Then find the next term. (1 point) an = an–1 – 3, where a1 = –8
Anvisha [2.4K]
4 = 7 - 3

1 = 4 - 3

-2 = 1 - 3

-5 = -2 - 3

=> An = A (n-1) - 3, where A1 = 7

The next term is A6 = A5 - 3 = - 5 - 3 = - 8

So the answer is the fourth option.
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3 years ago
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What is the sum, difference, product, and quotient of 7/12
True [87]

Answer:

7 plus 12 equals 19.

7 minus 12 equals -5.

7 times 12 equals 84.

7 divided by 12 equals 0,583...

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Luis walked for 16 minutes Natalie walked for w minutes Luis walked twice as long as Natalie how long did Natalie walked?
Rainbow [258]
Natalie walked for 8 minutes
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