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zmey [24]
2 years ago
14

Please help. I can not figure it out. I will mark brainliest.

Mathematics
1 answer:
zhuklara [117]2 years ago
6 0
(0,30), (1,20)
(20-30)/(1-0) = -10/1 = -10 slope
We know y intercept is 30
Equation: y = -10x + 30
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What is the positive root of the equation x 2 + 5x = 150? a0
Radda [10]
Solution for x^2+5x=150 equation:
<span>Simplifying x2 + 5x = 150 Reorder the terms: 5x + x2 = 150 Solving 5x + x2 = 150 Solving for variable 'x'. Reorder the terms: -150 + 5x + x2 = 150 + -150 Combine like terms: 150 + -150 = 0 -150 + 5x + x2 = 0 Factor a trinomial. (-15 + -1x)(10 + -1x) = 0 Subproblem 1Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15 Subproblem 2Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solutionx = {-15, 10}</span>
5 0
3 years ago
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. Using a table of values,
tamaranim1 [39]

Answer:

Option A. 5

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = –3

Common ratio (r) = 6

Sum of series (Sₙ) = –4665

Number of term (n) =?

The number of terms in the series can be obtained as follow:

Sₙ = a[rⁿ – 1] / r – 1

–4665 = –3[6ⁿ – 1] / 6 – 1

–4665 = –3[6ⁿ – 1] / 5

Cross multiply

–4665 × 5 = –3[6ⁿ – 1]

–23325 = –3[6ⁿ – 1]

Divide both side by –3

–23325 / –3 = 6ⁿ – 1

7775 = 6ⁿ – 1

Collect like terms

7775 + 1 = 6ⁿ

7776 = 6ⁿ

Express 7776 in index form with 6 as the base

6⁵ = 6ⁿ

n = 5

Thus, the number of terms in the geometric series is 5.

8 0
2 years ago
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
BaLLatris [955]

We will use this formula = 1/2 × base × height

And thus

1/2 × 8 ×8

4 0
3 years ago
I GIVEEEEE BRAINLILSTE
charle [14.2K]

Answer:

20.4cm²

Step-by-step explanation:

base= 10.2

height= 2

10.2×2=20.4cm²

3 0
3 years ago
Read 2 more answers
Plz help :( im trying to understand this but Idk how it works?
djyliett [7]

Answer:

LEFT

k + 3 = 20,

k = 17

RIGHT

3x + 5 = 32,

k = 9

Step-by-step explanation:

For the left side, you have k + 3 on one side equaling 20, so the equation is

k + 3 = 20

To solve is as follows

k + 3 = 20

  - 3    - 3

     k = 17

For the right side,

You have 3 x's and 5 1's right? Adding them together will equal 32 (Other side

So your equation is 3x + 5 = 32

To solve is as follows

3x + 5 = 32

    - 5     -5

      3x = 27

Dividing both sides by 9 we get x = 9

Reasoning; you want to cancel out everything with x so that you got x alone on one side.

Hope this helps, if not comment on this telling me which step I did that you dont understand and I'll explain it.

4 0
2 years ago
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