Larry wants to buy some carpeting for his living room. the length of the room is 4 times the width and the total area of the room is 16 square meters. What is the length of the living room

9 x 5 = 45 -> total $ on Friday

99 - 45 = 54 -> total $ on Saturday

54 ÷ 9 = 6 hours

Answer:

A, B.

Step-by-step explanation:

If Matt charges $9 an hour, and he worked for 5hrs on Friday night, then that means we have to do multiplication.

So, $9x5=$45.

And then it says he babysat again on Saturday, and in TOTAL, he earned $99.

So, if he already made $45, and he has a total of $99, then we need to work backwards to figure out how much he made on Saturday.

$99-$45=$54

So, he made $45 on Friday and $54 on Saturday.

Now, we continue to work backwards and divide how much he made on Saturday ($54), by how much he charges per hour.

$54/9=6

So, Matt worked a total of 6hrs on Saturday.

Answer:

subtraction property of equality

Step-by-step explanation:

The equation in the question is incomplete, the complete equation is:

5 + x = 2

To solve this equation we have to use the subtraction property of equality, that is, if you subtract some number at both sides of the equal sign, the equation doesn't change. So:

5 + x - 5 = 2 - 5 (You must select a number which isolate x)

x = -3

And the answer is gotten.

d

ur welcome its right

Answer:

cubic

Step-by-step explanation:

Answer:

cubic

Step-by-step explanation:

What units are used for volume;

cubic

Answer:

Step-by-step explanation:

Trick question. Good to know.

0 is the closest 100.

33 will round to 0

Area is in square units.

Square the scale factor: 4^2 = 16

The area is 16 times the original area.

Answer:

32

Step-by-step explanation:

f(x)=1/3x^2+5

Let x = -9

f(-9) = 1/3* (-9)^ 2 +5

       = 1/3 * 81 +5

       = 27+5

       =32

Answer:

-3/4

Step-by-step explanation:

To find the slope, we use the formula

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

    = (-1-2)/(4-0)

    = -3/4

The solutions of:

[tex]x^2-2x-4=-3x+9[/tex] are:

The x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Solution to a system of equation--

A solution to a system of equation are the possible values of x that satisfy both the equation.

These are obtained by finding the x-coordinate of the point of intersection of the equations i.e. the point where the y-values is equal.

Hence, the given can be solved by finding the points of intersection of the graph:

[tex]y=x^2-2x-4[/tex] and [tex]y=-3x+9[/tex] and then taking the x-coordinate of the point.

Answer:

15 ounces

Step-by-step explanation:

If there is 165 ounces in 11 boxes then divide the ounces by the boxes to get the amount of ounces in one box.

Answer:

15

Step-by-step explanation:

Answer:

Out of the four, the only statement true about the parent and the transformed function is:

"The domain of the transformed function and the parent function are all real numbers."

Step-by-step explanation:

Parent function:

f(x) = |x|

Applying transformations:

1. Stretched by a factor of 0.3:

f(x) = 3|x|

2. Translated down 4 units:

f(x) = 3|x| - 4

Transformed function:

f(x) = 3|x| - 4

We can see that:

Range of the parent function = All real numbers greater than or equal to 0.

Range of the transformed function = All real numbers greater than or equal to -4.

Domain of the parent and the transformed function is same and equal to all real numbers.

Hence, the first three statements are wrong and the fourth one is true.

Answer:

The domain of the transformed function and the parent function are both all real numbers.

Step-by-step explanation:

Stretching a function by any factor doesn't change either its domain nor its range.

Translating up or down a function changes its range. In this case, the lowest value the parent function can take is 0 when x=0; after translation, for x = 0 then f(x) = -4. Therefore,

f(x) = |x|  

domain = all real numbers

range = [0, infinity)

f(x) = 0.3*|x| - 4

domain = all real numbers

range = [-4, infinity)

[tex]x^2-5\leq0\\x^2\leq5\\x\leq \sqrt5 \wedge x\geq-\sqrt5\\x\in\left\langle-\sqrt5,\sqrt5\right\rangle[/tex]

For this case we must indicate the solution of the following inequality:

[tex]x ^ 2-5 \leq0[/tex]

Adding 5 to both sides of the inequality:

[tex]x ^ 2\leq5[/tex]

We apply square root on both sides of the inequality to eliminate the exponent:

[tex]x \leq\pm \sqrt {5}[/tex]

So, we have two solutions:

[tex]x\leq \sqrt {5}[/tex]

Since it is an inequality, the sign for the negative portion is changed:

[tex]x\geq- \sqrt {5}[/tex]

Answer:

[tex]x\leq \sqrt {5}\\x\geq-\sqrt {5}[/tex]

Answer:

Pairs (0, 14) and (10, 0)

Answer:

Step-by-step explanation:

In this question we have to find the two points that can be joined to best draw the line in best fit.

From the given graph we can see if we join (0, 13) and (10, 0) then other ordered pairs given will be equal in numbers on both the sides of the line.

Therefore, by definition of these are the points which can be joined to draw a line which best fit the scatter plot.

Answer:

4 times smaller

Step-by-step explanation:

Answer:

[tex]\large\boxed{y=\dfrac{2}{3}x+4}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points:

(0, 4) → y-intercept (b = 4)

(3, 6)

Substitute:

[tex]m=\dfrac{6-4}{3-0}=\dfrac{2}{3}[/tex]

Finally we have the equation:

[tex]y=\dfrac{2}{3}x+4[/tex]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = [tex]\frac{4-2}{0+3}[/tex] = [tex]\frac{2}{3}[/tex]

note the line crosses the y- axis at (0, 4) ⇒ c = 4, hence

y = [tex]\frac{2}{3}[/tex] x + 4 ← in slope- intercept form

OR

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = [tex]\frac{2}{3}[/tex] and (a, b) = (3, 6), hence

y - 6 = [tex]\frac{2}{3}[/tex](x - 3) ← in point- slope form

Answer:

A Is the correct answer ( y = 2x - 4 )

Step-by-step explanation:

The answers listed are provided in Y= Mx + B. What this means is M = Slope and B = Y Intercept.  The Y-Intercept is where the imaginary line crosses the Y axis of the graph or where x = 0. In this case the Y-Int is -4 and the slope of the graph is 2 over 1 ( A rise of two and a run of one ) in other terms it's just 2, but once you put this into the equation y = Mx + B it becomes 2x. Your final product would be y = 2x - 4

Answer:

A

Step-by-step explanation:

17 / 12

(12 + 5) / 12

12/12 + 5/12

1 5/12

For this case we have that by definition, a quadratic equation is of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

Where the roots are given by:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

We have the following equation:

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

Then, according to the definition, the values are:

[tex]a = 1\\b = -3\\c = -2[/tex]

Answer:

[tex]a = 1\\b = -3\\c = -2[/tex]

Answer:

The values of a, b, and c in the quadratic equation are:

[tex]a=1\\b=-3\\c=-2[/tex]

Step-by-step explanation:

The general form of a quadratic equation is as follows

[tex]ax^2 + bx +c[/tex]

Where a, b and c are real numbers that represent the coefficients of the quadratic equation and [tex]a \neq 0[/tex]

In this case we have the following quadratic equation

[tex]x^2 - 3x - 2[/tex]

Therefore, notice that:

[tex]a=1\\b=-3\\c=-2[/tex]

Answer:

y = 4[2]^x

Step-by-step explanation:

One possible model for this function is the exponential y = a(b)^(kx).  Notice that if x = 0, y = a, and so, from the graph, we see that a = 4.

Then we have the exponential y = 4(b)^(kx).  Substitute 8 for y and 1 for x:

8 = 4(b)^(k), or 2 = b^k.

Then y = a(b)^(kx) becomes y = 4(b)^(kx) = 4[b^k]^x = 4[2]^x = y

The desired function is y = 4[2]^x.

Check this out.  Does the point (0, 4) satisfy this function?

Is 4 = 4[2]^0 true?  YES, it is.

Is 8 = 4[2]^1 true?  Is 8 = 4(2) true?  YES, it is

Answer:

vertex form:  [tex]y=2(x+\dfrac{7}{2})^2+\dfrac{1}{2}[/tex]

B correct

Step-by-step explanation:

[tex]y=(x+3)^2+(x+4)^2[/tex]

[tex]y=x^2+9+6x+x^2+16+8x[/tex]

[tex]y=2x^2+14x+25[/tex]

[tex]y=2(x^2+7x)+25[/tex]

[tex]y=2(x^2+7x+\dfrac{49}{4}-\dfrac{49}{4})+25[/tex]

[tex]y=2(x+\dfrac{7}{2})^2+\dfrac{1}{2}[/tex]

Answer:

B

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = (x + 3)² + (x + 4)² ← expand and simplify

  = x² + 6x + 9 + x² + 8x + 16

  = 2x² + 14x + 25

To obtain vertex form use the method of completing the square

The coefficient of the x² term must be 1

Factor out 2 from 2x² + 14x

y = 2(x² + 7x) + 25

add/ subtract ( half the coefficient of the x- term )² to x² + 7x

y = 2(x² + 2([tex]\frac{7}{2}[/tex]) x + [tex]\frac{49}{4}[/tex] - [tex]\frac{49}{4}[/tex] ) + 25

y = 2(x + [tex]\frac{7}{2}[/tex] )² - [tex]\frac{49}{2}[/tex] + [tex]\frac{50}{2}[/tex]

y = 2(x + [tex]\frac{7}{2}[/tex] )² + [tex]\frac{1}{2}[/tex]

Answer:

B

Step-by-step explanation:

10(10m+6)<=12        

100m+60<=12       Distributive Property

100m     <=12-60

100m    <=-48

     m    <=-48/100

     m    <=-.48

This says values for m that are less than or equal to -.48

-.48 is between -1 and 0 so the answer is B

Graph the solution set on a number line 10(10m+6)<12

10(10m+6)<=12        

100m+60<=12       Distributive Property

100m     <=12-60

100m    <=-48

m    < =-48/100

m    < =- 48

This says values for m that are less than or equal to -.48

Option B. M≤ -48

Four popular derivative notations include: The Leibniz notation, which has a d/dx format. The Lagrange notation, characterized by prime notation. The Euler notation, where a capital D is used.

It's just a different notation to express the same thing. On the other hand, if you want to represent the set with interval notation, you need to know the upper and lower bound of the set, or possibly the upper and lower bound of all the intervals that compose the set.

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.

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Answer:

a = sqrt(33)

Step-by-step explanation:

a^2 + 4^2 = 7^2

a^2 + 16 = 49

a^2 = 33

a = sqrt(33)

Answer:

f(5) = 6(5 - 2) = 6(3) = 18

Step-by-step explanation:

You're asked to "evaluate" f(x)=6(x-2) when x = 5.

To do this, replace both instances of x with 5:  f(5) = 6(5 - 2) = 6(3) = 18

Answer:

Hence, the value of the function for f(5) is 18..

Step-by-step explanation:

Consider the provided function.

[tex]f(x)=6(x-2)[/tex]

We need to find the value of function at x = 5.

Substitute x = 5 in above function and simplify.

[tex]f(5)=6(5-2)[/tex]

[tex]f(5)=6(3)[/tex]

[tex]f(5)=18[/tex]

Hence, the value of the function for f(5) is 18.

Hello!

The first step you would want to do here is distribute the -3 to inside the parentheses. This can be done by multiplying -3 by what's inside the parentheses. This would make the original equation become:

y + 1 = -3(x - 5)

y + 1 = (-3 * x) - (5 * -3)

Then, complete the multiplication inside the parentheses to get:

y + 1 = -3x + 15

Now, subtract both sides by 1 to isolate the y on the left side.

y + 1 - 1 = -3x + 15 - 1

Therefore, your final answer is:

y = -3x + 14

(it can also be f(x) = -3x + 14, y and f(x) are the same thing in this case)

Hope this helped!

The equation in point - slope form can be written in the form of linear function as y = -3x + 14.

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation in point - slope form as -

y + 1 = - 3(x - 5)

We can write the equation as the linear function as -

y + 1 = -3(x - 5)

y + 1 = -3x + 15

y = -3x + 15 - 1

y = -3x + 14

Therefore, the equation in point - slope form can be written in the form of linear function as y = -3x + 14.

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Answer:

Choice D is correct

Step-by-step explanation:

We have been given the expression;

[tex]21\leq-3(x-4)<30[/tex]

The first step is to open the brackets using the distributive property;

-3(x-4) = -3x + 12

Now we have;

[tex]21\leq-3x+12<30\\\\21-12\leq-3x+12-12<30-12\\ \\9\leq-3x<18\\\\\frac{9}{-3}\geq x>\frac{18}{-3}\\\\-6<x\leq-3[/tex]

Answer:

[tex]2\frac{1}{2}[/tex]

Step-by-step explanation:

we have

[tex]10x^{2} y^{-2}[/tex]

we know that

[tex]10x^{2} y^{-2}=10\frac{x^{2}}{y^{2}}[/tex]

Substitute the value of x=-1 and y=-2 in the expression

[tex]10\frac{(-1)^{2}}{(-2)^{2}}[/tex]

[tex]10\frac{1}{4}[/tex]

[tex]\frac{10}{4}[/tex]

Simplify

[tex]\frac{5}{2}=2\frac{1}{2}[/tex]

Answer:

81 degrees

Step-by-step explanation:

A quadrilateral has four interior angles which sum up to 360 degrees.

As we are given that two angles are right angles which means the sum of two angles will be 180 degrees and the third angle is 99 degrees.

As we know that the four angles sum up to 360 degrees.

Let A,B,C and D denote the four angles,

Then

Sum of angles = 360

A+B+C+D=360

90+90+99+D=360

279+D=360

D=360-279

D= 81 degrees

So the fourth angle is 81 degrees ..

Answer:

i think the answer is undefined

Step-by-step explanation:

Answer: 1. inconsistent, 2. infinite, 3. (4, -1), 4. exactly two solutions.

Step-by-step explanation: HOPE THIS HELPS. ;))))

Answer:

b.

Step-by-step explanation:

expand (x-2)(x+4)

(x-2)(x+4)=0

x²+2x-8=0

a=1,b=2,c=-8

From this equation we know that ,

a>0, the shape of the graph is a minimum graph.

c is the y-intercept ,the graph will intercept -8 at y-axis .

By solving this (x-2)(x+4)=0 we know the x-intercept of the graph .

(x-2)(x+4)=0

x=2 ,x=-4

Answer:

750 households

Step-by-step explanation:

45+57+18=120

45/120=3/8

(3/8)*2120= 750 households would support.

Hope I helped.

Answer:

The slope is -1

Step-by-step explanation:

(-5 - 3)/(2 - [-6]) = -8/8 = -1