the difference of two variables x and y is 7. find two ordered pairs that satisty this equation if the values of y are 1 and 3... Show your solution​

Answer:

[tex]f(x) = -3x+4[/tex]

Step-by-step explanation:

We can use the form [tex]y=mx+b[/tex] to find the linear function.

From [tex]f(2)=-2[/tex] , we can write:

[tex]-2=2m+b[/tex]

From [tex]f(1)=1[/tex] , we can write:

[tex]1=m+b[/tex]

To find for [tex]m[/tex], we can substract the second equation from the first:

[tex]2m+b-(m+b) = -2-1[/tex]

[tex]2m+b-m-b=-3[/tex]

[tex]m=-3[/tex]

To find for [tex]b[/tex], we can use substitution:

[tex]1 = m+b[/tex]

[tex]1 = -3+b[/tex]

[tex]b=4[/tex]

∴ [tex]f(x) = -3x+4[/tex] is the linear function.

Hope this helps :)

Answer:

length: 11m. width: 5m. Hope this helps

Answer:

Step-by-step explanation:

4.1-1.25=2.85

lets divide

2.85/0.005=570

Answer:

2.85/0.005=570

Step-by-step explanation:

Hope this helped have an amazing day!

The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are

[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]

To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]

[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]

the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality  [tex]-w\ge7[/tex] true

Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]

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Answer:

21 ounces

Step-by-step explanation:

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Answer:

about 2 pounds

At two months the kittens weigh about 2 pounds and can be spayed or neutered.

hope this helps

Answer:

36/s

Step-by-step explanation:

The / means divide since I couldn't find the division sign. The / is also another way to write the division sign.

Answer:

36/s

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

30 ÷ 100 x 70

My Answer:

21  bikini styles

Step-by-step explanation/math I took to do the problem:

30 ÷ 100 x 70

Answer:

Check explanations for answer

Step-by-step explanation:

Here, we want to find out how Gerard came to the conclusion

For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame

From the lengths that we have

If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is

This is in obedience to Pythagoras’ theorem

However, this does not hold

√(150)^2 is not equal to 8^2 + (√(95))^2)

and so since this does not work, then the triangle is not right-angled and cannot be use as the frame

Answer:

Step-by-step explanation:Sample Response: Gerard determined that the squares of the two smaller sides did not equal the square of the longest side. The side lengths did not create a true statement of the Pythagorean theorem.

Answer:

True

Step-by-step explanation:

-10×5+5=-9×5

-45=-45

So it's 100% true

Because -45 is equal to -45

Answer:

8%

Step-by-step explanation:

1% of 750 is 7.50

So 60 divided by 7.5 is 8

Answer:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Step-by-step explanation:

Setting the null and alternative hypothesis :

H0 : μ = 3.5

H1 : μ < 3.5

Sample size (n) = 40

Mean (m) = 3 minutes

Standard deviation (s) = 1.1 minutes

Test statistic : Z = (m - μ) / (s/√n)

Z = (3 - 3.5) / (1.1/√40)

Z = - 0.5 / 0.1739252

Z = - 2.8747978

Zcritical at α 0.05 = 1.645

This is a left tailed test :

Hence rejection region:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Answer: 3 5/6

Step-by-step explanation:

A mixed number takes the whole number out of the improper fraction. The whole number 3 can be taken out of 23/6 (18/6). Then, there is a remainder of 5/6. Add the two together and the mixed number would be 3 5/6.

23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

A fraction represents a part of a whole.

We have to write 23/6 as a mixed number

Divide the numerator (23) by the denominator (6) and write the result as a whole number plus a fraction

23 ÷ 6 = 3 with a remainder of 5

So, 23/6 is equal to 3 and 5/6 as a mixed number.

Hence, 23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

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Answer:

C and A

Step-by-step explanation:

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[tex]7d + d - 4d - 7 = 5d[/tex]

[tex]8d - 4d - 7 = 5d[/tex]

[tex]4d - 7 = 5d[/tex]

[tex]5d = 4d - 7[/tex]

Subtract sides 4d

[tex] - 4d + 5d = - 4d + 4d - 7[/tex]

[tex]d = - 7[/tex]

Thus the correct answer is Option three.

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Answer: 2

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Therefore, the slope of the line in the graph attached is 2

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Answer:

First choice

Step-by-step explanation:

Answer: Find 9 on the number line and move 5 to the left. The stopping point of 4 is the sum of this expression.

Answer:

4 = 8b >> b = 1/2 or 0.5

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First do the operations in the parentheses.

8+4-10 = 2

Then do 2^3.

2^3 = 2*2*2 = 8

Then do 8*2

16

Answer:

has 3 sides

The formula for sum of interior angles is S = (n - 2) * 180. Therefore, 1980° = (n - 2) * 180. or, (n - 2) = 1980 / 180 = 11. or, n = 13

Step-by-step explanation:

that should be the answer

ur welcome

hope it helps

Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.

Answer:

Step-by-step explanation:

Remark

It's a right triangle so you can use a^2 + b^2 = c^2

a = 3

c = 5

3^2 + b^2 = 5^2         Expand

9 + b^2 = 25              Subtract 9 from both sides

b^2 = 25 - 9

b^2 = 16                     Take the square root of both sides.

√b^2 = √16

b = 4

Answer:

5/6

Step-by-step explanation:

If you minus 1 1/2 from 2 1/3 you get 5/6 left.

Please mark brainliest.

5/6 cups of more chocolate chips should be added to the batter.

Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]

= 7/3 - 3/2

= 14/6 - 9/6

= (14-9)/6

= 5/6

Therefore, 5/6 cups of more chocolate chips should be added to the batter.

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Answer:

There are 0.475 pounds of apples in each tart.

I arrived in this number by dividing the total number of pounds by the total number of tarts made.

475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.

475 lbs/1000 tarts = 0.475 lbs/tart

So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.

y = 0.475x

where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.

Step-by-step explanation:

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

Answer:

4 games

Step-by-step explanation:

23 - 3 = 20

20 / 5 = 4

Answer:

3

Step-by-step explanation:

start by added 24 to both sides to get

6x = 18

then divide 18 by 6 to get

x = 3

Answer:

x=3

Step-by-step explanation:

Get your constant -24 to the other side to isolate the 6x.

-24+24+6x=-6+24

6x=18

Now since the 6 is multiplied by the x to isolate the x further divide 6x by 6, make sure to divide both sides. It should look like:

6x/6=18/6

x=3

To prove the answer just plug in 3 into the orginal equation and if both sides are equal its correct.