x y
-1 -10
3 14
Complete the slope-intercept form of the linear equation that represents the relationship in the table.

The statement "151.8​​ is what percent of 69​​ is expressed as 0.69p =  151.8

Equations are expressions separated by an equal sign. Words can be translated to equations.

Let the unknown variable be "p". If p percent of 69is 151.8, this is expressed as;

p% of 69 = 151.8

Convert to decimals

p/100 * 69 = 151.8

0.01p * 69 = 151.8
0.69p =  151.8

Hence the statement "151.8​​ is what percent of 69​​ is expressed as 0.69p =  151.8

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Answer:

4

Step-by-step explanation:

1 g = 1,000 mg

1,000/250 = 4

Answer: medians in a triangle.

Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

[tex]7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}[/tex]

The other factor for the given equation will be ( x - 4 ). The correct option is D.

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

The solution of the given quadratic equation will be:-

x² + 2x - 24 = ( x² + 6x -4x -24 )

                   = [ x( x + 6) - 4 ( x + 6 ) ]

                   = ( x + 6 ) ( x - 4 )

Therefore another factor for the given equation will be ( x - 4 ). The correct option is D.

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The vertical asymptotes x = - 2, 2 and Horizontal asymptotes y = 3

Option A is the correct answer.

Function are mathematical statement which links an independent variable to dependent variable.

It always comes with a defined domain and range.

The equation mentioned is incorrect in the question w.r.t. to the solutions mentioned, The right equation is

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-4}[/tex]

This function can also be written as

[tex]\rm f(x) = \dfrac{3 x^2}{x^{2}-2^2}\\\\\rm f(x) = \dfrac{3 x^2}{(x+2)(x-2)}[/tex]

Vertical asymptotes are defined when the denominator of a rational function tends to zero.

To find the equation/s let the denominator equal zero.

Denominator tends to zero for x = -2 and x = +2

Horizontal Asymptote is when the function f(x) is tending to zero.

for x = +∞ and x = - ∞

Let the rational function [tex]f(x)= \dfrac{mx^a}{nx^b}[/tex]  where  and a and b are degree of numerator and denominator.

If a < b , then the y axis y = 0 is a horizontal asymptote.

If b = a then horizontal asymptote is the line y = p/q

Here the value is b = 2 and a = 2

Since b = a the horizontal asymptote is the line

y = m/n  where m = 3 and n = 1

Therefore y = 3

So , vertical asymptotes x = - 2, 2

Horizontal asymptotes y = 3

Option A is the correct answer.

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Answer:

A

Step-by-step explanation:

just took the test

Answer:

d

Step-by-step explanation:

[tex]\sqrt x > \sqrt{25} \qquad( x\geq 0)\\\sqrt x > 5\\x > 25[/tex]

When [tex]x > 25[/tex].

Answer:

20 miles

Step-by-step explanation:

We are finding the difference.  Take the larger number and subtract the smaller number

40-20 = 20

The difference is 20 miles

Answer:

3/4 cups

Step-by-step explanation:

3 1/2 divided by 2

The domain of the function is x > 0.

The correct option is (B)

Domain of a function is defined by the set of x-values of the graph of a function.

as, domain of a function is defined by the set of x-values of the graph of a function.

From the graph we can see that,

x-values are starts from x > 0 [Since x ≠ 0]

Also, moves towards infinity,

Hence, domain of the function be, (0, ∞) or x > 0

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Answer:

B

Step-by-step explanation:

The quantity of sugar required for 2/4 of the recipe is 1/3 cups

let

Ratio of sugar to recipe

2/3 : 1 = x : 2/4

2/3 ÷ 1 = x ÷ 2/4

2/3 × 1/1 = x × 4/2

2/3 = x × 2

2/3 = 2x

x = 2/3 ÷ 2

x = 2/3 × 1/2

= 2/6

x = 1/3 cups

Therefore, the quantity of sugar required for 2/4 of the recipe is 1/3 cups

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Answer:

Step-by-step explanation:

Note

I think the question means "What do you multiply -26 by to get - 468

call the number that you need x

x * -26 = - 468                        Divide both sides by - 26

-26x/-26 = - 468/ - 26           There are 2 minus signs on the right. They cancel.

x = 18

Conclusion

When you multiply 18 * -26 the answer is --468

Answer: 18

Answer:

see the attachment photo!

Charles would like to buy a new car that costs $32 000. The dealership offers to finance the car at 2.4%/a, it's best for Charles loans from the bank to buy car.

Generally, the equation for the monthly loan payment is mathematically given as

[tex]R=\frac{\frac{iP}{N}}{1-(\frac{1}{N})^{NY}}[/tex]

Therefore

[tex]R=\frac{\frac{0.024*32000}{12}}{1-(\frac{0.024}{12}+1)^{-12*5}}[/tex]

R=566.51

Hence the total payment is

T=R*N*Y

T=33990.34

By taking a loan of 29000, and applying the equation

T'=33155.77

In conclusion, it is best for Charles loans from the bank to buy a car.

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Answer:

i think 6 years because i always used it

Step-by-step explanation:

make me my brainliest answer

To expand an expression, use FOIL method.

-7y and y are the first terms in each expression.

(-7y)(y) = -7y²

-7y is the first term in the first expression

-4 is the last term of the second expression

(-7y)(-4) = 28y

-8 is the last term in the first expression

y is the first term in the second expression

(-8)(y) = -8y

-8 is the last term of the first expression

-4 is the last term of the second expression

(-8)(-4) = 32

Combine all simplified terms.

Answer:

Wxndy~~

The changes in Z would be = 6.1× 10^-4.

Z = Sin (x³ +y³)

Where X = 0.3

y = 0.2

Z= Sin ( 0.3³ + 0.2³)

Z= Sin ( 0.027 + 0.008)

Z= Sin ( 0.035)

Z= 6.1× 10^-4

Therefore, the changes in Z would be = 6.1× 10^-4.

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Answer:

-6,-4

Step-by-step explanation:

if you have to evaluate its 4

and there is 2 solutions

#1

Find y intercept

#2

Y intercept

Both graphs attached

An point should be (1,6)

Answer:

< or > = dashed line

≤ or ≥ = solid line

< or ≤ = shade below the line

> or ≥ = shade above the line

To draw:

[tex]y < \dfrac{2}{3}x+6[/tex]

Treat as a linear equation.

Find 2 points:

[tex]x=0 \implies y=\dfrac{2}{3}(0)+6=6 \implies (0,6)[/tex]

[tex]x=3 \implies y=\dfrac{2}{3}(3)+6=8 \implies (3,8)[/tex]

Plot the 2 points and draw a dashed straight line through them.

To draw:

[tex]y > 1.5^x+4[/tex]

Treat as an exponential equation.

Find y-intercept:

[tex]x=0\implies y=1.5^0+4=5\implies (0,5)[/tex]

End behaviors:

[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]

[tex]\textsf{As } x \rightarrow - \infty, f(x) \rightarrow 4[/tex]

Draw the curve as a dashed line.

Once both lines are drawn, shade the overlapping region below the linear inequality and above the exponential inequality.  

A point that belongs to the solution is any point in the shaded area,
e.g. (1, 6)

The term used to describe the equidistance from a given directrix and focus is: C. a locus of points called a parabola.

A parabola can be defined as a curve on a plane where any given point is at equal distance from the focus (fixed point), and from a directrix (fixed straight line).

Thus, we can conclude that what is a locus of points called a parabola is equidistant from a given directrix and focus.

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The statement which is true about the thrown ball is that A. The ball attains a maximum height of 70 meters at 4 seconds

This refers to the highest vertical projectile that an object can attain when acted upon by an external force.

Given the attached diagram that shows the graph of the projectile of the ball, we can observe that its maximum height before it began to fall is 70 meters at 4 seconds based on the values on the x and y-axis.

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The probability of getting a red card and rolling a 5 is = 3/85

First, we want to find the probability of rolling a 5.

There are 6 outcomes on the six-sided die, so the probability of getting a particular value is:

P = 1/5.

Then, the probability of randomly drawing a red card is given by the quotient between the number of red cards and the total number of cards:

P' = 3/(3 + 6 + 8) = 3/17

The joint probability is given by the product between the individual probabilities:

prob = P*P' = (1/5)*(3/17) = 3/85

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The expression is

See

Its distributive property which states that

Option A

Answer:

8weeks

Step-by-step explanation:

$16÷(25/100×$8)=8

Answer:

3660

Explain

3660ml×1L/100ml

= 3.66L

Answer:

19

Step-by-step explanation:

Answer:

20.375

Step-by-step explanation:

To calculate the mean, in this situation, you first add up the game scores and divide it by the amount of games.

So, first we add 24+17+28+19+23+20+13+19 = 163

Because there are 8 games, we do 163 / 8 = 20.375

or 20.4 to 1dp

Hope this helped! If anything requires clarification, don't hesitate to ask me. I can assure you this is the right answer.

- profparis

Explanation:

[tex]\bf point \ slope \ form: y-y_{1}=m\left(x-x_{1}\right)[/tex]

Find the slope:      given points: (-4, 3), (-3, -1)

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Insert values

[tex]\rightarrow \sf slope: \ \dfrac{-1-3}{-3-(-4)} =-4[/tex]

Equation in point slope form:

[tex]\sf\rightarrow y - 3 = -4(x - (-4))[/tex]

[tex]\sf\rightarrow y - 3 =-4(x + 4)[/tex]

Additional, in slope intercept form:

[tex]\sf\rightarrow y = mx + b \quad where \ 'm \ is \ slope' \ and \ 'b \ is \ y-intercept'[/tex]

[tex]\sf\rightarrow y = -4 x - 16 +3[/tex]

[tex]\sf\rightarrow y = -4x -13[/tex]