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3 years ago

Consider the equation below -2(bx -5 ) =16

Mathematics

1 answer:

gladu [14]3 years ago

8 0

Answer:

bx = - 3

Step-by-step explanation:

- 2(bx - 5) = 16

- 2bx + 10 = 16

- 2bx + 10 - 10 = 16 - 10

- 2bx = 6

- 2bx ÷ - 2 = 6 ÷ - 2

bx = - 3

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How to find slope using a graph.

Pani-rosa [81]

Answer:

See below.

Step-by-step explanation:

Find two points on the graph that are easy to read.

Start at one point. You must now go to the other point, but you can only move vertically (up and down) and horizontally (right and left.)

Move vertically toward the other point. Count the number of units you moved. Up is positive, and down is negative. This is the rise.

Now move horizontally to the second point and count the units. Right is positive and left is negative. This is the run.

slope = rise/run

4 0

3 years ago

13. Solve 5x² - 6x + 1 = 0 using the quadratic formula. please help me and show work

yaroslaw [1]

Answer: x= 1, $\frac{1}{5\\}$

Step-by-step explanation:

The quadratic equation is

$x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}$

and

$x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}$

So we just need to sub in the proper numbers from the equation given, in this case, it would result in

$x=\frac{6+\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}$

and

$x=\frac{6-\sqrt{(-6)^{2}-4(5)(1) } }{2(5)}$

Once we get this we can either manually simplify or use a calculator, using a calculator would result in the answers

x= 1, $\frac{1}{5\\}$

7 0

3 years ago

Pls help! which of the following equations is written in standard form ?

EastWind [94]

Pretty sure the answer is B.

8 0

3 years ago

A company with a fleet of 150 cars found that the emissions systems of only 4 out of the 25 they tested failed to meet pollution

salantis [7]

Answer:

No, there is no strong evidence that the percentage of the fleet out of compliance is different from their initial thought.

Step-by-step explanation:

We are given that a company with a fleet of 150 cars found that the emissions systems of only 4 out of the 25 they tested failed to meet pollution control guidelines.

The company initially believed that 30% of the fleet was out of compliance.

Let p = percentage of the fleet that was out of compliance.

SO, Null Hypothesis, $H_0$ : p = 30% {means that the percentage of the fleet out of compliance is same as their initial thought}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the percentage of the fleet out of compliance is different from their initial thought}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = percentage of the fleet out of compliance = $\frac{4}{25}$ = 16%

n = sample of systems tested = 25

So, test statistics = $\frac{0.16-0.30}{{\sqrt{\frac{0.16(1-0.16)}{25} } } } }$

= -1.909

The value of the test statistics is -1.909.

Since in the question we are not given with the level of significance at which hypothesis can be tested, so we assume it to be 5%. Now at 5% significance level, the z table gives critical values between -1.96 and 1.96 for two-tailed test.

Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the percentage of the fleet out of compliance is same as their initial thought.

3 0

3 years ago

What is 10 divided by 3?

maxonik [38]

10\div 310÷3

AVAILABLE METHODS

1

Set up the long division.

3|10

2

Calculate 10 ÷ 3, which is 3 with a remainder of 1.

33|1091

3

Therefore, 10 ÷ 3 = 3 with a remainder of 1.

3 \text{ with a remainder of } 13 with a remainder of 1

Done

Decimal Form: 3.333333

6 0

4 years ago