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2 years ago

Find the constant rate of change.

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

3 0

Answer:

-1

Step-by-step explanation:

slope = y2-y1/x2-x1

(5,5) (7,3)

slope = 5-3/5-7 = 2/-2 = -1

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BRAINLIEST!PLEASE HELP ME

kkurt [141]

-12x - 0.4 > 0.2(36.5x + 80) - 55 Remove the brackets.

-12x - 0.4 > 7.3x + 16 - 55 Combine the like terms on the right

-12x - 0.4 > 7.3x - 39 Add 12x to both sides

- 0.4 > 7.3x + 12x - 39

- 0.4 > 19.3x - 39 Add 39 to both sides.

-0.4 + 39 > 19.3x Combine like terms on the left

38.6 > 19.3x Divide by 19.3

38.6 / 19.3 > x

2 > x

6 0

3 years ago

Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8

drek231 [11]

Answer:

95% Confidence interval: (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, $\bar{x}$ = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)$

(96.06,103.94) is the 95% confidence interval for the population mean test score.

8 0

3 years ago

X2 - 6x + 12 and y = 2x - 4, algebraically are

olga_2 [115]

The solution is (4, 4)

Solution:

Given system of equations are:

$y = x^2 - 6x + 12 ------ eqn\ 1\\\\y = 2x - 4 ---------- eqn\ 2$

Substitute eqn 2 in eqn 1

$x^2 - 6x + 12 = 2x - 4$

Make the right side of equation 0

$x^2 - 6x + 12 - 2x + 4 = 0\\\\x^2 -8x + 16 = 0$

Solve by quadratic equation

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=-8,\:c=16:\\\\x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:16}}{2\cdot \:1}\\\\x=\frac{-\left(-8\right)\pm \sqrt{0}}{2\cdot \:1}\\\\x = \frac{8}{2}\\\\x = 4$

Substitute x = 4 in eqn 2

y = 2(4) - 4

y = 8 - 4

y = 4

Thus solution is (4, 4)

5 0

3 years ago

If you miss the bus, then you will be late to school.

Tpy6a [65]

law of syllogism basically is a=b b=c then a=c

a = miss bus

c= detention

so if you miss the bus you get detention

4 0

3 years ago

Read 2 more answers

Plssss helpp I’ll mark u brainliest fr

garri49 [273]

Answer: it’s the 3’rd one

Explanation: I hope this helps

5 0

3 years ago