Write the equation of the line with x-intercept of -4 and y-intercept of 2. Hint:With those intercepts, (-4,0) and (0,2) are points on the line.

1.) -4x + 2y = 8
2.) 4x – 2y = -8
3.) 2x + 4y = 8
4.) 2x – 4y = -8

Answer:

Step-by-step explanation:

As, if we put the value (2,3) in the equation then,

2x + 10y = 20

=> 2(2) + 10(3) = 20

=> 4 + 30 = 20

=> 34 ≠ 20

Hence,

2x+10y=20 does not pass through (2,3)

Answer: 9.3d−g-10.4f

Step-by-step explanation:

Answer:

B.) 9

Step-by-step explanation:

The square root of 75 is 8.660254038 (or 8.6). The 6 tells us that we need to round up to a whole number which makes it the closest to 9

Answer:

Hey there,

Let the unknown number be x

Here they say that ,

Seven more than twice a number,

2x + 7

Is greater than,

2x + 7 >

Negative 19,

2x + 7 > -19

Now solve for x

[tex]2x + 7 > - 19 \\ 2x > - 19 - 7 \\ 2x > - 26 \\ \frac{2x}{2} > \frac{ - 26}{2} \\ x > - 13[/tex]

So,

All the numbers which are greater than (-13) makes this statement true.

Examples

[tex]x = { - 12, - 11, - 10, - 9...} \\ [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

All numbers that makes, the statement "Seven more than twice a number is greater than negative nineteen" True, are the numbers greater than -13.

Let us denote the unknown number as "x",

The given statement can be translated into an inequality as follows:

7 + 2x > -19,

Now, to solve for "x," we separate the variable by subtracting 7 from both sides of the inequality,

We get,

2x > -26

Divide both sides by 2:

We have,

x > -13

Therefore, any number greater than -13 would make the statement "Seven more than twice a number is greater than negative nineteen" true.

In interval notation, this would be written as (-13, ∞), indicating all real numbers greater than -13.

Learn more about Inequality here

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The coordinates of the image point will be P''(7, 5).

Given is to translate P(4, 0) right by 3 units and up by 5 units.

Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)

Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)

Therefore, the coordinates of the image point will be P''(7, 5).

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Answer:

[tex]f(x) = \frac{5}{2} x + \frac{21}{2} \\ f(x) = 2 \\ f(x) = - \frac{3}{2} x + 4[/tex]

Answer:

65.7 ft.

Step-by-step explanation:

at first, let's say she was x fts. below sea level.

over the next 10 minutes she drops 23.5 ft.

that is her height below sea level then becomes

(x + 23.5) ft.

and it's given that she dropped to 89.2 ft. below sea level.

x + 23.5 = 89.2

x = 89.2 - 23.5

x = 65.7 ft.

and x was the height she's been below sea level.

Therefore ,she's been 65.7 ft. below sea level.

Answer:

65.7

Step-by-step explanation:

We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.

Answer:

7

Step-by-step explanation:

4x-13 = x + 8

3x = 21

x = 7

enjoy

Answer:

x = -32

Step-by-step explanation:

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The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ −3[−15 − 2(−9)]²

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ −3[−15 − 2(−9)]²

⇒ −3[−15 + 18]²

⇒ −3[3]²

⇒ −3 × 9

⇒ −27

The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.

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Answer:

Step-by-step explanation:

Open the parenthesis:

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

Answer:

[tex]54[/tex]

Answer D is correct

Step-by-step explanation:

[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

A

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

here, we have,

We have to determine

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph;

The straight-line x=6 is a vertical asymptote of the graph of the function  if at least one of these conditions is true:

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

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Answer:

a) [tex]1/2[/tex]

b) [tex]5/6[/tex]

c) [tex]2/3[/tex]

Step-by-step explanation:

a)

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]

b)

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]

c)

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]

Answer:

24 units^2

Step-by-step explanation:

bc=6

ab=8

area of a triangle: b*l/2

6*8/2=24

Answer: Area of the figure = 24

Concept:

Here, we need to know how to find the area of a triangle.

Area (triangle) = (1/2) · b · h

b = base

h = height

Solve:

Given coordinates on the graph

A (-5, 5)

B (-5. -3)

C (1, -3)

To find the value of the height, we need to know the value of a vertical line, meaning the [x] value of the points on the line is equal. As we can see from the given coordinates, point A and point B has the same [x] value. The value of the height equals the difference between A and B's [y] value

A (-5, 5)

B (-5, -3)

5 - (-3) = 5 + 3 = 8

To find the value of the base, we need to know the value of a horizontal line, meaning the [y] value of the points on the line is equal. As we can see from the given coordinates, point B and point C has the same [y] value. The value of the base equals the difference between B and C's [x] value

B (-5, -3)

C (1, -3)

1 - (-5) = 1 + 5 = 6

Given expression

A = (1/2) · b · h

Substitute values into the expression

A = (1/2) · (6) · (8)

Simplify by multiplication

A = (1/2) · (48)

[tex]\boxed{A =24}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

esult in the project being reset and the student losing access to auto-progression.

Answer the fol

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

___o_o___

2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

___o_o___

3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

___o_o___

4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

___o_o___

5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

___o_o___

6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

___o_o___

7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

___o_o__

8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

___o_o___

9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

___o_o___

10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

___o_o___

Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

___o_o____

Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Answer:- 1.066667 i think

Step-by-step explanation:

Answer:

download gauth math and scan it and will give u the answer

Answer:

C

Step-by-step explanation:

The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.

the difference in depth is 3 feet, you can find this by the equation 14-11

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]

Answer:

800

Step-by-step explanation:

divide 5 and 8

Answer:

the lovin lemon

Step-by-step explanation:

there are 4 quarts in a gallon so 4 times 16 is 64 for just one gallon so the answer would be the lovin lemon is cheaper

Answer:

for the first one it's 36

for the second its 13

Answer:

y=1/2x

Step-by-step explanation:

Look at the graph, all you need is the first point.

Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x

Step-by-step explanation:

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Answer:

He has 9 apples so we add .50 cents 9 times.

If we count this money-wise we would get 4.50, so if he paid with a $5 bill he would recieve 50 cents

Step-by-step explanation:

Answer:

[tex] \frac{1}{3} x - 5 - \frac{1}{6} x - 3 = \\ \frac{2}{6} x - \frac{1}{6} x - 8 = \frac{1}{6} x - 8[/tex]

Answer:

option D is the right answer

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