Solve the equation:
2t+8= -10
t = ?​

The  slope-intercept form  is  y = -1/3x +7 .

What is an explanation of the slope-intercept form?

The standard form equation can be found by using the given point values in the given equation to find the new constant.

 x +3y = (6) +3(5) = 21

Solving for y puts this equation into slope-intercept form.

 3y = -x +21 . . . . . . . subtract x

 y = -1/3x +7 . . . . . . divide by 3.

This is slope-intercept form.

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Answer:

d. 3x - 1

Step-by-step explanation:

(3x² + 8x − 3) ÷ (x + 3)

= ((3x - 1)(x + 3) ÷ (x + 3)

= 3x - 1

Answer:

D

Step-by-step explanation:

3x.        9x                3

x.           -x               -1

(3x-1)(x+3) /(x+3)

3x - 1

Since C is mid - point of both BD and AE , therefore AB = DE .

Given : A , B , C , D and E are aligned in a row .

            C is the mid - point of BD and AE .

To prove : AB = DE .

Since , C is the mid - point of BD ,

⇒ BC = CD  ( 1 )

And since C is the mid - point of AE as well ,

⇒ AC = CE    ( 2 )

Subtracting ( 1 ) from ( 2 ) ,

AC - BC = CE - CD

AB = DE

Hence , proved AB = DE .

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Answer:

8√15

Step-by-step explanation:

4√6 × √10 = 4√(6 × 10) = 4√60 = 8√15

Answer:

(1,8.5)

Step-by-step explanation:

x=(-1+3)÷2

=1

y=(9+8)÷2

=8.6

(1 , 8.5)

Answer:

You would have to add all of them up, which is (7*4) + 18 = 46.
Therefore the answer is 46 feet for the length of the fence.

The domain of the given function f(x) is (−∞,∞) and the range is (-∞, 4].

What is the domain and range of a quadratic function?

The set of all real values of x that will result in real values for y is known as the domain of a function. A function's range is the set of all real values of y that may be obtained by substituting real numbers into x.

Given function is [tex]f(x)=-x^{2} +4[/tex]

The domain of [tex]f(x)[/tex] = Any real value of x  i.e. (−∞,∞)

Range of [tex]f(x)[/tex] = (-∞, 4] i.e. y ≤ 4

Hence, the domain of f(x) is (−∞,∞) and range is (-∞, 4].

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The answer to the question 18(26) is 18 * (20 + 6) = 468

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

According to the distributive property, you can multiply a component by each addend separately before adding the total when multiplying it by two addends.

Based on this property, in order to solve a problem of this type, you have to expand the multiplication.

Hence 18(20 * 6)

is written as (18 * 20) + (18 * 6)

= 468

The answer is 468

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Answer: A. : y=1/2x-4

Step-by-step explanation:

Use the equation y=mx+b:   -3=1/2(2)+b

Simplify: -3=1+b

Simplify: -4=b

Final equation: y=1/2x-4

The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21

An expression in maths, a sentence with a minimum of two numbers or variables and at least one math operation.

Given an expression b(3) + 20.4

When b = 8.9

8.9*3 + 20.4 = 47.1

When b = 5.1

5.1*3 + 20.4 = 35.7

When b = 0.2

0.2*3 + 20.4 = 21

Hence, The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21

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The relationship given in the table is linear, as the rate of change of the output relative to the input is of zero.

Linear relationships are relationships in which the rate of change of the output relative to the input is constant, and called slope.

The points from the table in this problem are listed as follows:

The rate of change is given by the change in the output divided by the change in the input. Since the output remains constant, the rate of change remains constant at zero, and thus, this is a linear relationship.

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Answer: 22 miles

Step-by-step explanation: 49.50 - 3.30 = 46.20

46.20 ÷ 2.10 = 22

Answer:

first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1

Step-by-step explanation:

Answer: E and B

I did the quiz

A relation that has a range of {-5, 0, 4, 7} is:{(6, -5), (-2, 4), (4, 7), (1, 0)}

The correct answer is an option (E)

In this question, we have been given some relations.

We need to find a relation that has a range of {-5, 0, 4, 7}

We know that in a relation is a set of ordered pairs (x, y)

where x is input and y is output.

We know that range is collection of all output values.

Therefore, a  relation that has a range of {-5, 0, 4, 7} is:

E {(6, -5), (-2, 4), (4, 7), (1, 0)}

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y = 0 is the horizontal asymptote for the given equation f(x)

To find : Horizontal Asymptote of function f(x)

Horizontal  Asymptote

A horizontal line that a function's graph appears to coincide with but does not actually do so is said to be its horizontal asymptote. The end behavior of the function is determined using the horizontal asymptote.

Given that,

A function is provided as

f(x) = 3/5x

x serving as the denominator

By setting the denominator equal to 0, we can easily determine the vertical asymptote i.e,

Make x=0,

Specifically, the vertical asymptote is at y=0 or x=0

Identifying the horizontal asymptote

Write x in terms of y, then look for any instances where y differs.

We are able to write the given function

x=3/5

Here, y=0 renders x undefinable.

Thus y=0 is the horizontal asymptote.

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Answer:

B

Step-by-step explanation:

Got it right.

From the total of 3 1/3 cups of sugar Paula used 1 1/2 cups of sugar to make apple pie recipe then amount of sugar left with Paula is given by

1 5/6 cups of sugar.

As given in the question,

Total amount of sugar Paula ha = 3 1/3 cups of sugar.

Amount of sugar used to make apple pie recipe is = 1  1/2 cups of sugar

Let x be the amount of sugar left with Paula after making apple pie

Required equation is :

x + 1 1/2 = 3 1/3

⇒x + 3/2 = 10/3

⇒ x = (10/3) - (3/2)

⇒x = ( 20 -9) /6

⇒ x= 11/6

⇒ x= 1 5/6 cups of sugar

Therefore, from the total of 3 1/3 cups of sugar Paula used 1 1/2 cups of sugar to make apple pie recipe then amount of sugar left with Paula is given by 1 5/6 cups of sugar.

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Answer:

Step-by-step explanation:

Okay, I can help. Please specify your question further so I can actually help you.

In the given right-angled triangle sin(N) = 3/5.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjacent/hypotenuse and

tan = opposite/adjacent.

Given,, we have to obtain sin(theta) in the right-angled triangle with opposite = 3 units, hypotenuse = 5 units, and adjacent = 4 units.

We know sin = opposite/hypotenuse.

∴ Sin(N) = 3/5.

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The reason for 1/2 and not 5/10 is it is a norm in math to  reduce fractions to the least terms

This is a term used to refer to fractions that are equal even though they have different values in both he numerator and the denominator

Fractions are class of numbers that are of two parts the upper part is the numerator while the lower part is called the denominator.

In the given problem, 1/2

5/10 is an equivalent form of 1/2, this means that they are equal.

5/10 is shown to be equal to 1/2 by dividing by 5, this reduces the fraction to the least term which is 1/2. Using calculator can still show it that both numbers equal 0.5

In mathematics, it is preferred to reduce fractions to it's least form except it was stated.

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Answer:

slope: (11-1)/(-4+14)

m: 10/10

M: 1

11 = -4 + b

b = 15

y = x + 15

Answer:

-------------------------------

Simplify first:

We need both p and q be rational numbers and we know √19 is irrational.

It is only possible if both side are equal to zero:

Answer:

[tex]\textsf{(a)} \quad h=3, \quad k=-2[/tex]

[tex]\textsf{(b)} \quad p=0, \quad q=-\dfrac{1}{2}[/tex]

Step-by-step explanation:

Rearrange the given equation so that both sides are in the same form:

[tex]\begin{aligned}2-h\sqrt{11}&=-3\sqrt{11}-k\\2-h\sqrt{11}+k&=-3\sqrt{11}-k+k\\k+2-h\sqrt{11}&=-3\sqrt{11}\\k+2-h\sqrt{11}-2&=-3\sqrt{11}-2\\k-h\sqrt{11}&=-2-3\sqrt{11}\\\\\implies h&=3\\\implies k&=-2\end{aligned}[/tex]

Rewrite and factor the right side of the equation.

As p and q are rationals, both sides of the equation have to equal zero.

[tex]\begin{aligned}2p&=q\sqrt{76}+\sqrt{19}\\2p&=q\sqrt{4 \cdot 19}+\sqrt{19}\\2p&=q\sqrt{4} \sqrt{19}+\sqrt{19}\\2p&=2q\sqrt{19}+\sqrt{19}\\2p&=\sqrt{19}(2q+1)\\\\\implies 2p&=0 \implies p=0\\\implies 2q+1&=0 \implies q=-\dfrac{1}{2}\end{aligned}[/tex]

Two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

The two-sample t-test defined as the method used to test whether the unknown population means of two groups are equal. The two sample t-test is also called independent samples t-test. Because the two samples of the data are statistically independent.

A paired t-test is used to find the difference between two variables usually separated by time for the same subject. By using the paired t-test  we can find the mean difference between pairs of measurements is zero or not. So  paired t-test is used, when data is in the form of matched pairs

Hence, two sample t-test is used when the two samples of the data are statistically independent and the paired t-test is used, when data is in the form of matched pairs

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Answer:the answer is 3:2

Step-by-step explanation:

it is ratio of flour to sugar so the answer is 3:2

Answer:

Step-by-step explanation:

A recipe calls for 3 ounces of flour for every 2 ounces of sugar.Find the constant of proportionality

we have a ratio of 3 : 2

the constant of proportionality is:

3 : 2 = 1.5

According to the given graph, the type of sample is continuous.

Sampling:

Basically, sampling refers the a statistical methodology that uses a portion of a total population to represent the full population.

Given,

Here we have the graph and that represents the data collection.

Now, we need to find the type sample used.

In order to find the type of sample used in the given data, we have to carefully looking into the point representation of the graph.

While we looking into the graph, we have identified that the point one the graph continuous and it will gradually moving upwards.

Therefore, the type of sample use here is continuous.

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Equation can use to find the number of water balloons w in the bin before Kimberly trips is w-11=13.

Given that, Kimberly carries a bin of water balloons outside for the balloon toss, she trips and breaks 11 balloons.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The number of water balloons w in the bin before Kimberly trips.

She counts the remaining water balloons, and there are 13 left.

According to the question, the equation is

w-11=13

⇒ w=13+11

⇒ w=24

Hence, equation can use to find the number of water balloons w in the bin before Kimberly trips is w-11=13.

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The slope between the two points:

7. (-14, -10) and (12, 18) => m = 1.077

8. (-3, 12) and (1, 2) => m = -2.5

9. (25, -14) and (-3, 7) => m = -0.75

10. (4, 14) and (16, 20) => m = 0.5

In this question, we need to determine the slope between the two points.

We know that the formula of slope between the two points (x1, y1), (x2, y2)

m = (y2 - y1)/(x2 - x1)

7. (-14, -10) and (12, 18)

m1 = (18 + 10)/(12 + 14)

m1 = 1.077

8. (-3, 12) and (1, 2)

m2 = (2 - 12)/(1 + 3)

m2 = -2.5

9. (25, -14) and (-3, 7)

m3 = (7 + 14)/(-3 - 25)

m3 = -0.75

10. (4, 14) and (16, 20)

m4 = (20 - 14)/(16 - 4)

m4 = 0.5

Therefore, the slope between the two points:

7. (-14, -10) and (12, 18) => m = 1.077

8. (-3, 12) and (1, 2) => m = -2.5

9. (25, -14) and (-3, 7) => m = -0.75

10. (4, 14) and (16, 20) => m = 0.5

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