Find the rate of change for this linear function.
y=−8x+5

Answer:

Look at image

Step-by-step explanation:

image shown below, copy the answer from there.

The value of coefficient k is 5. The required values are y = 15.5 when x = 3.1, y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The direct proportion y = kx is given in the shown table.

Find the coefficient k, and fill in the table:

As per the question, we have

y = kx    .....(i)

To  determine the value of k, we substitute the value of x = 0.14 and y  = 0.7 in equation (i),

⇒ 0.7 = k (0.14)

⇒ k = 0.7/0.14

⇒ k = 5

Substitute the value of k = 5 in equation (i), and we get

y = 5x   .....(ii)

Now, we are finding the values of the table,

Substitute the value of x = 3.1 in equation (ii), and we get

y = 5(3.1)

y = 15.5

Similarly, the other required values are

y = 12.5 when x = 2.5, y = 6 when x = 1.2, y = 4.5 when x = 0.9, x = 0.06 when y = 0.3, and x = 0.02  when y = 0.1.

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Answer:

Solving the expression [tex]3x^2-2x=-1[/tex] we get: [tex]\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}[/tex]

Step-by-step explanation:

We need to solve the expression: [tex]3x^2-2x=-1[/tex]

This is a quadratic expression and it can be solved using quadratic formula

Solving:

[tex]3x^2-2x=-1\\[/tex]

we can write it as:

[tex]3x^2-2x+1=0[/tex]

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

where a = 3, b = -2 and c= 1

Putting values and solving:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(1)}}{2(3)}\\x=\frac{2\pm\sqrt{4-12}}{2(3)}\\x=\frac{2\pm\sqrt{-8}}{6}\\We\:know\:that\:\sqrt{-1}=i\\x=\frac{2\pm\sqrt{8}\sqrt{-1} }{6} \\We\:know\:\sqrt{8}=\sqrt{2\times 2 \times 2}=\sqrt{2^2 \times 2}=2\sqrt{2} \\x=\frac{2\pm2\sqrt{2}i }{6}\\Now,\\x=\frac{2+2\sqrt{2}i }{6}\:or\:x=\frac{2-2\sqrt{2}i }{6}\\x=\frac{2(1+\sqrt{2}i) }{6}\:or\:x=\frac{2(1-\sqrt{2}i) }{6}\\x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}[/tex]

So, solving the expression [tex]3x^2-2x=-1[/tex] we get: [tex]\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}[/tex]

Answer:

3, -9, 27, -81

Step-by-step explanation:

Multiply -3 everytime starting from 3.

Answer:

y = 3

Step-by-step explanation:

-6 divided by -18 = 3

Answer:

[tex]-\frac{4}{9}[/tex]

Step-by-step explanation:

Answer:

What the first guy said.

Step-by-step explanation:

Answer:

31/2

Step-by-step explanation:

hope this helps!

Answer:

dy/dx= -4x+16/y+2

Step-by-step explanation:

just cause also if you need to classify then it's ellipse (this is to find the first derative)

do you need it in standard form

Answer:

wheres A

Step-by-step explanation:

Step one: correspond x values and y values together

         it would be: 3, 12   and    4, 16

Step two: divide

12/3 = 4         and     16/4 = 4

both numbers = 4

scale factor is 4

Answer:

[tex]P(A) = 0.0274[/tex]

Step-by-step explanation:

Given

[tex]n = 800[/tex] --- Population

[tex]A = 242[/tex] --- those that liked sugar cereals

Required

Probability that three selected like sugar cereals

The probability that the first adult selected likes sugar cereals is:

[tex]P(A_1) = \frac{242}{800}[/tex]

The probability that the second adult selected likes sugar cereals is:

[tex]P(A_2) = \frac{242-1}{800-1} = \frac{241}{799}[/tex]

We subtracted 1 because it is a probability without replacement

Similarly:

[tex]P(A_3) = \frac{241-1}{799-1} = \frac{240}{798}[/tex]

The required probability is calculated as follows:

[tex]P(A) = P(A_1) * P(A_2) * P(A_3)[/tex]

[tex]P(A) = \frac{242}{800} * \frac{241}{799} * \frac{240}{798}[/tex]

[tex]P(A) = \frac{242*241*240}{800*799*798}[/tex]

[tex]P(A) = \frac{13997280}{510081600}[/tex]

[tex]P(A) = 0.0274[/tex]

Given:

Cost of fish dinner = $10.95

selling price of fish dinner = $13.95.

To find:

The percent markup.

Solution:

We know that,

[tex]\text{Percent Markup}=\dfrac{\text{Price - Cost}}{\text{Cost}}\times 100[/tex]

Using this formula, we get

[tex]\text{Percent Markup}=\dfrac{13.95-10.95}{10.95}\times 100[/tex]

[tex]\text{Percent Markup}=\dfrac{3}{10.95}\times 100[/tex]

[tex]\text{Percent Markup}=\dfrac{300}{10.95}[/tex]

[tex]\text{Percent Markup}=27.39726[/tex]

Round to the one decimal place.

[tex]\text{Percent Markup}\approx 27.4[/tex]

Therefore, the markup is 27.4%.

Answer:

y=2

Step-by-step explanation:

Answer:

For 10. the answer is 0, and 150 miles (assuming the 25 is in miles per hour)

For 11. the answer is 0, and 22.5 tacos

Step-by-step explanation:

Rate of change is equal to the change y over the change in x, or in this case, the change in speed over the change in time, because the rate for both problems is "constant", there is no change in speed. To find the number of miles driven you need to multiply the time passed (6 hours) by the speed (25 mph), 6 x 25 = 150. The number of tacos eaten is times passed (9 minutes) multiplied by the speed he is eating tacos (2.5 tacos per minute), 2.5 x 9 = 22.5. Hope this helps!

9514 1404 393

Answer:

  A, B

Step-by-step explanation:

A mathematical sentence expresses a complete thought using mathematical symbols and numbers. In these sentences, the "=" corresponds to the "verb" in the sentence.

The terms 24 and 2x correspond to "nouns". They describe a mathematical object, but say nothing about it.

The sentences:

  A. 12n = 24

  B. x + 2 = 6

Answer:y= 3x-4

Step-by-step explanation:

Use the equation: y-y1=m(x-x1)

Here, y-2=3(x-6)

y=3x-4

Answer:

7 1/8

Step-by-step explanation:

4 + 2 = 6

6/8 + 3/8 = 9/8 or 1 1/8

1 1/8 + 6 = 7 1/8

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

you translate this in

8+5x

Answer:

20

Step-by-step explanation:

Step 1: 4 = 20% × Y

Step 2: 4 = 20/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:

Step 3: Y = 4 × 100/20

Step 4:Y = 4 × 100 ÷ 20

Step 5: Y = 20

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

20% = 4

100% = 20

The total number of people in the group is 100 people.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

We have,

Number of Aussies with blue eyes = 4

Percentage of blue eyes in the Aussies = 20%

This can be written as:

20% = 4

Now,

The percentage of the total number of people in the group = 100%

So,

20% = 4

Multiplying 5 on both sides.

5 x 20% = 5 x 4

100% = 20

This means,

The total number of people in the group is 100.

Thus,

The total number of people in the group is 100 people.

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8.25 hours is our base number here. 1/3 of it is taken up when he stops at the gas station.

8.25, 4.125 is half of it, 2.75 is our answer for this,

8.25/3 gives you 2.75 due to 2.75 making it 5.5 when doubled and so on

so, the answer is 2 3/4 hours, D

[tex]\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star[/tex]

The lateral surface area of an object is all of the sides of the object, excluding its base and top.

The total surface area of an object is is all of the sides of the object.

Option [c] is correct !

Answer:

64ft

Step-by-step explanation:

a+b/2xh

17+9=16

16/2=8

8x8=64ft

Answer:

Null, H0 : μ = 417

Alternative, H1 : μ ≠ 417

Step-by-step explanation:

Given that :

The mean grams by a bag filling machine μ = 417

Hence, the null hypothesis is That bag filling machine works correctly at 417 grams setting

The alternative hypothesis will negate the null ; In this question, the alternative hypothesis looks at the possibility of either overfill or underfill, which In straightforward terms means that the 417 g ram setting for the bag filling machine is incorrect.

Hence,

Null, H0 : μ = 417

Alternative, H1 : μ ≠ 417

Answer:

The answer is 1/6.

Step-by-step explanation:

The question is worded in such a way to be open to misunderstanding. I feel it could mean Norah must spread her stone at the rate of 2/3 of a ton per square yard across 4 square yards and the total is sought.

It could also be saying that Norah has 2/3 of a ton to be divided equally across 4 square yards and is seeking the amount of stone each square yard needs.

In the former case it is a matter of multiplying the vulgar fraction by four and in the latter case the answer could be approached by considering the total amount of stone given is four times the answer that is required and so would be given by dividing 2/3 by 4/1 or more simply by multiplying by 1/4 and not forgetting to cancel the resulting fraction down to the lowest common denominator.

A better way for practical purposes would be to convert 2/3 of a ton into pounds and then divide by four. A workman required to do the work would not be messing around with fractions but would be working in pounds and tons or if using Imperial measure it would be pounds, stones, hundredweight and tons.

Answer:

28

Step-by-step explanation:

The area is multiplying the width and height together divided by two. 9*8 is 56. 56/2 is 28.

Answer:

[tex] \boxed{\frac{12}{1} = \frac{24}{2} = \frac{36}{3} = \frac{48}{4} = \frac{?}{5} = \frac{72}{6}}\\ [/tex]

Therefore, all the ratios are same i.e., 12

So, 12×5=60.

60 passengers can be transported in five vans.

Answer:

Uhh

Step-by-step explanation:

what?

if you mean u bought a new car congrats