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3 years ago

Can someone help me translate this into a mathematical notation

Mathematics

1 answer:

OLEGan [10]3 years ago

8 0

Answer:

3x/4 = 5

Step-by-step explanation:

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Consider the equation below.

Korvikt [17]

Answer:

Equation in square form:

$y=3(x+5)^2-4$

Extreme value:

$(h,k)=(-5,-4)$

Step-by-step explanation:

We are given

$y=3x^2+30x+71$

we can complete square

$y=3(x^2+10x)+71$

we can use formula

$a^2+2ab+b^2=(a+b)^2$

$y=3(x^2+2\times x\times 5)+71$

now, we can add and subtract 5^2

$y=3(x^2+2\times x\times 5+5^2-5^2)+71$

$y=3(x^2+2\times x\times 5+5^2)-3\times 5^2+71$

$y=3(x+5)^2-75+71$

So, we get equation as

$y=3(x+5)^2-4$

Extreme values:

we know that this parabola

and vertex of parabola always at extreme values

so, we can compare it with

$y=a(x-h)^2+k$

where

vertex=(h,k)

now, we can compare and find h and k

$y=3(x+5)^2-4$

we get

h=-5

k=-4

so, extreme value of this equation is

$(h,k)=(-5,-4)$

6 0

4 years ago

Read 2 more answers

I need help with this, please!

Vera_Pavlovna [14]

Option D: $x \geq 3$ is the solution

Explanation:

The given expression is $3 x-1 \geq 8$

We need to determine the solution of the expression.

<u>Solution:</u>

The solution of the expression can be determined by solving the expression for the variable x.

Thus, we have,

$3 x-1 \geq 8$

Adding both sides of the expression by 1, we get,

$3x\geq 9$

Dividing both sides of the expression by 3, we get,

$x \geq 3$

Thus, the solution of the expression is $x \geq 3$

Hence, Option D is the correct answer.

6 0

3 years ago

Please help WILL MARK BRAIN LEST 5 STAR RATING THANKS ON YOUR PAGE

kotegsom [21]

Part A

So the coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.

Part B

To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve.

1. 25 * 7.50 = $187.5.

2. 0.20 * 300 = $60

3. Add it all together: $187.50 + $60 = $247.50 + $40 = $287.50

Part C

If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.

5 0

3 years ago

Read 2 more answers

Mr. Aziz is a sculptor. He makes sculptures either out of bronze or out of steel. He charges $280 for each bronze sculpture he s

GrogVix [38]

Answer:

D) 7

Step-by-step explanation:

7x280= 1960

1x440= 440

440+1960= 2400

3 0

3 years ago

Please help i will give brainliest!!!

Shalnov [3]

D) (-2,3)

-2 is the x-value
3 is the y-value

If you look at the graph on the x-axis (horizontal line) the numbers are increasing and decreasing by 1.
Since the point of intersection (big blue dot) is on the left side of 0, it falls directly at the -2 mark
As for the y-axis (vertical lines) the numbers also increase and decrease by 1. The point of intersection falls above 0 at +3

Therefore your point of intersection is (-2,3)

8 0

3 years ago