MATHEMATICS HIGH SCHOOL

Does anyone know where to plot this?

Answers

Answer 1

Answer:

Answer:

(-3,1) becomes (1,-1)

(-4,7) becomes (0,5)

(-6,3) becomes (-2,1)

(-9,8) becomes (-5,6)

Step-by-step explanation:

just move every point 4 to the right and 2 down. once you plot the new points draw and connect

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Okay so I have having a little problem with slope- intercept form when you have two points. Help?

Answers

To find the slope of the line you have to do change in y over the change in x. I will be using the example (3,6) and (1,4). So if you find the change in y over the change in x you have 2/2. The slope would be 1. and if you have slope intercept form (y=mx+b) you get y=1x+b. Now all you have to find is b. Substitute in any of the points given and you have 4=1+b. Therefore b = 3. So your full equation is: y=x+3

In a batch of 960 calculators, 8 were found to be defective. What is a probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary.

Answers

Answer:

0.8% is a probability that a calculator chosen at random will be defective

Step-by-step explanation:

Probability of any event is given by:

$P(A) = \frac{\text{Number of required outcomes}}{\text{Total number of possible outcomes}}$ where, A is any event.

As per the statement:

In a batch of 960 calculators, 8 were found to be defective.

here,

A = Defective calculator.

⇒Number of defective calculator = 8

and

Total number of outcomes = 960 calculators.

then by definition we have;

$P(A) = (8)/(960)$

Simplify:

$P(A) \approx 0.00833333333$ = 0.833333333 %

Therefore, a probability that a calculator chosen at random will be defective to the nearest tenth place is, 0.8 %

out of 960 calculators, 8 were found be to defective

Probability:
$(8)/(960)$
0.00833...
As a Percent:
0.00833....× 100
0.833%
To the nearest tenth of percentage:
0.833% ≈ 0.8%

In right triangle ABC with the right angle at C, sin A= 2x + .1 and cos B = 4x - .7. Determine and state the vaule of x.

Answers

Imagine $\angle A$ at the top of the triangle and $\angle B$ at the bottom. (or used the attached picture for reference)

$\sin A= (opposite)/(hypotenuse)$

$\cos B = (adjacent)/(hypotenuse)$

One thing to note, however, is that the side opposite $\angle A$ is the same side as the one adjacent to $\angle B$ ! Thus $\sin A=\cos B$ .

Substitute these values for $2x+0.1$ and $4x-0.7$ and solve.

$4x-0.7=2x+0.1 \n 4x=2x+0.8 \n 2x=0.8\n \boxed{x=0.4}$

What value of x will make 4x-1=4x+7 true ?

Answers

$4x-1=4x+7$

$-1=7$ $\ Cancel \ 4x \ on \ both\ sides.$

$\ No \ Solution$

2x+3=-7 what does x equal

Answers

Answer:-5

Step-by-step explanation:

2x+3=-7

2x=-7-3

x=-10/2

so,

x=-5

Answer: x=-5

Step-by-step explanation: just did the assessment on edge

Savvas Realize Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Part A

Choose the equation that can be used to find the number of miles m for which Tonya and Beth would charge the same amount.

A. 20 + 3m = 5m

B. 20 = 3m + 5m

C. 20 + 5m = 3m

D. 20 + m = 8m

Part B

m = _____ miles

Answers

Answer:

A 10 miles

Step-by-step explanation:

If I'm not mistaking I'm pretty sure we can write the two problems with an equal sign between as we're trying to find the same amount.

Using this information, we know that we Automatically have a +20 charge with a 3 dollar charge for every mile walked. Now we have 20+3x=

Now we plug in the 5x to get 20+3x=5x

From here you subtract 3x and you get 20=2x. Now divide!

10=x

Hope this helps! (Side Note: You should probably get some sleep as I'm sure it's pretty late where ever you live. Also, keep trying even if you feel like giving up!) :)

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