Which equation yields the solutions x=−3 and x=−4?
a)2x2+14x+24=0
b)x2−6x+5=0
c)3x2+30x+48=0
d)−3x2−12x+15=0

Answer: [tex]y=-\frac{1}{2}x+6[/tex]

Step-by-step explanation:

The equation of the line is slope-intercept form is:

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

Where m is the slope and b thte y-intercept.

The lines are parallel, then they have the same slope.

Solve for "y"  from  [tex]2x+4y=10[/tex] to find the slopes of the lines :

[tex]2x+4y=10\\4y=-2x+10\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]

The  value of the slopes of the lines is:

[tex]m=-\frac{1}{2}[/tex]

Substitute the slope and the point into the equation of the line and solve for "b":

[tex]2=-\frac{1}{2}(8)+b\\2=-4+b\\b=6[/tex]

Then the equation of this line is:

[tex]y=-\frac{1}{2}x+6[/tex]

The answer is:

The equation of the new line will be:

[tex]y=-0.5x+6[/tex]

or

[tex]y=-\frac{1}{2}x+6[/tex]

To solve the problem, we need to remember the slope intercept form of a line.

The slope intercept form of a line is given by the following equation:

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

Where,

y, is the function.

x, is the variable of the function.

m, is the pendant of the line.

b, is the y-axis intercept of the line.

So, we are given the line that will be parallel to the line that we are looking for:

[tex]2x+4y=10\\4y=-2x+10\\4y=-2(x-5)\\y=\frac{-2}{4}*(x-5)\\\\y=-\frac{1}{2}*(x-5)\\\\y=-\frac{1}{2}x+\frac{5}{2}[/tex]

Where,

[tex]m=-\frac{1}{2}[/tex]

Then,

We need to use the same slope to guarantee that the new line will be parallalel to the given line-

So, our new line will have the following form:

[tex]y=-\frac{1}{2}x+b[/tex]

We need to substitute the given point to isolate "b" in order to guarantee that the line will pass through.

Now, substituting the given point,  to calculate"b", we have:

Calculating b, we have:

[tex]2=-\frac{1}{2}8+b[/tex]

[tex]2=-4+b[/tex]

[tex]2+4=b[/tex]

[tex]6=b[/tex]

Hence, we have that the equation of the new line will be:

[tex]y=-0.5x+6[/tex]

or

[tex]y=-\frac{1}{2}x+6[/tex]

Proving that the line will pass through the given point, by substituting it into its equation, we have:

[tex]2=-0.5(8)+6[/tex]

[tex]2=-4+6[/tex]

[tex]2=2[/tex]

So, since the equality is satisfied, we know that the line pass through the new line.

Have a nice day!

what does this have to do with math?

Answer:

For every 1 cup of sugar there needs to be 3 cups of flour

Step-by-step explanation:

You add 3 more cups of flour for every one cup of sugar you add.

1 cup of sugar = 3 cups of flour

2 cups of sugar = 6 cups of flour

3 cups of sugar = 9 cups of flour

4 cups of sugar = 12 cups of flour

5 cups of sugar = 15 cups of flour

And so forth.

Hope this help you!

Answer:

Area of new patio = 65 ft^2.

Step-by-step explanation:

For the new patio:

Width = x-4 feet

Length = x+4 feet.

Given that x = 9, the new patio has dimensions 9-4 and 9+4 = 5 by 13 feet and its area = 5*13 =  65 ft^2.

The area of the new square brick patio is 65 ft².

Given that, the original patio measures 9 feet by 9 feet.

The formula to find the area of a square is a².

Where, a=side.

Now, for the new patio:

Width = x-4 feet and Length = x+4 feet.

Given that x = 9, the new patio has dimensions 9-4=5 and 9+4 = 13 feet and its area = 5*13 =  65 ft².

Therefore, the area of the new patio is 65 ft².

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Answer:

<3=31

Step-by-step explanation:

since opposite angle are equal angle 3 and  the angle on the left side of 118 have to be equal. And since there are 180 degrees in a triangle,180-118=62,  62/2= 31 so  angle 3 is 31

hope this helps

ANSWER

[tex]\angle3 = 31\degree[/tex]

EXPLANATION

The adjacent angles of a parallelogram are supplementary.

The angle adjacent to 118° is

[tex]180 \degree - 118 = 62 \degree[/tex]

Since the diagonals bisect corner angles,

we divide the adjacent angle into two to obtain;

[tex] \angle3 = \frac{62 \degree}{2} = 31\degree[/tex]

Answer:

C

Step-by-step explanation:

Arc length is:

s = 2πr (θ/360)

Given θ = 80° and r = 7 ft:

s = 2π (7 ft) (80 / 360)

s = 1120π/360

s = 28π/9

Answer is C.

Answer:

15

Step-by-step explanation:

Answer:

y = -5

Step-by-step explanation:

You are solving for y. You want to know which value of y makes the equation true. You must end up with y alone on the left side equaling a number.

12y + 25 = -35

First, subtract 25 from both sides.

12y + 25 - 25 = -35 - 25

12y = -60

Now divide both sides by 12.

12y/12 = -60/12

y = -5

Answer: y = -5

Answer:

1200 millimeters

Step-by-step explanation:

Given

Height=1 meter 20 centimeter

In order to convert the height into millimeter we have to convert to millimeter

We will have to convert the meters into centimeters and then centimeters into millimeter.

So,

We know that

1 meter=100 cm

So total height in centimeters will be:

1 meter 20 centimeter=100+20  

= 120 cm

In order to convert centimeters into millimeters, we will use

1 cm=10 millimeter  

To convert into smaller unit, multiplication is used,

So,

120 cm=120*10

=1200 mm

So the height in millimeter is 1200 ..

The total height of the robot can be obtained by converting meters and centimeters to millimeters. One meter equals 1000 millimeters and one centimeter equals 10 millimeters, so 1 meter and 20 centimeters equal 1400 millimeters.

To convert the robot's height from meters and centimeters to millimeters, we need to know that 1 meter equals 1000 millimeters and 1 centimeter equals 10 millimeters. On conversion, 1 meter and 20 centimeters equate to 1200 millimeters and 200 millimeters respectively. So, by adding these values we find that the total height of the robot in millimeters is 1400 millimeters.

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Answer:

[tex]1.5m+1\leq 25[/tex]

Step-by-step explanation:

Given that Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.

This activation fee is once for all and hence fixed independent of the number of songs.

Thus total amount available = 25 dollars

This should be spent for both activation fee and songs

Let number of songs = m

Total cost [tex]= 1.5m+1[/tex]

This cannot exceed 25 dollars

So the ineqality would be

[tex]1.5m+1\leq 25[/tex]

Answer: 314÷13

..............................................................................

Answer:

13/314

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put x = -4 to f(x) = 2x² - x + 9:

f(-4) = 2(-4)² - (-4) + 9 = 2(16) + 4 + 9 = 32 + 4 + 9 = 45

Answer:

32 square units

Answer:

100 minutes?

lol

Answer:

5 minutes

Step-by-step explanation:

duh...

Answer:

f(x) translated 3 units to the left and 8 units down, there is no reflection occurred

Step-by-step explanation:

* Lets revise some transformation for the functions

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

by k units, then the new function g(x) = f(x) – k

* Now lets study the problem

∵ g(x) = 2(x + 3)² - 8

# x + 3 ⇒ means f(x) translated 3 units to the left

# -8 ⇒ means f(x) translated 8 units down

# There is no reflection occurred

Answer:

Bruh its D.

Step-by-step explanation:

D has the exact same values as the original matrix.

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right]}[/tex]

Step-by-step explanation:

Equal matrices are identical. We have the same numbers in the same places. Therefore, the matrix equal to a given matrix is ​​the same matrix.

Answer:

29119.66666...+14561.3333...=43681, 209ft^2, not square feet.

Step-by-step explanation:

"One side of a rectangle is 3 feet shorter than twice the other side find the sides if the area is 209 feet squared"

Ok, so this is a tricky one- 209 feet squared, not 209 square feet, therefore the area is 209^2, or 43,681.

Next, let's define our variables-

x= the "other side"

z= 3 feet shorter than twice side

We can now make these (useful) equations

z=2x-3

43681= (2x-3)+x

We will focus on the latter for now-

Simplify

43681= (2x-3)+x

43681= 2x-3+x

43681= 3x-3

+3

43684=3x

/3

14561.3333...=x

z=2x-3

z=2*(14561.3333)-3

z=29119.66666....

29119.66666...+14561.3333...=43681

-9, 2.6, -1.15, -7 1/3

To find the opposite of a number, multiply or divide it by -1. These four numbers just each got multiplied by -1 to get the answers.

The quadratic formula is [tex]\frac{-b+-\sqrt[2]{b^2-4ac}}{2a}[/tex]

and in the equation ax^2+bx+c=0

so now all you have to do is substitute the numbers into the quadratic formula

Answer:

answer in the image attached above

Step-by-step explanation:

Hope it helps

Answer:

150 pens

Step-by-step explanation:

1. 75% = 0.75

2. 200 * 0.75 = 150 pens

Answer:

This would be 150.

Step-by-step explanation:

Given

The number of people who will get the pen = 200

Since, each person gets only one pen,

Thus, the total number of pen required = 200,

Also, 75% pens are given away,

Hence, the number of pen distributed = 75% of the total pens

= 75% of 200

[tex]=\frac{75\times 200}{100}[/tex]

[tex]=\frac{15000}{100}[/tex]

= 150

Answer:

Rectangular prism =2lw + 2lh + 2wh

Triangular prism = 2B + Ph

Pyramid =2ll + l²

Cylinder = 2π

Cone = πrl + πr²

Step-by-step explanation:

The matched shapes and their areas are:

Rectangular prism =2lw + 2lh + 2wh

Triangular prism = 2B + Ph

Pyramid =2ll + l²

Cylinder = 2π

Cone = πrl + πr²

A cylinder is a three-dimensional object. It is a prism with a circular base. A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces.

A cone is a three-dimensional object that tapers to a vertex. A prism is  three-dimensional object that has two identical shapes facing one another.

To learn more a pyramid, please check: https://brainly.com/question/9222686

Step-by-step explanation:

[tex]\sqrt{m^6}=\sqrt{m^{3\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(m^3)^2}\qquad\text{use}\ \sqrt{a^2}=|a|\\\\=|m^3|\\\\\text{if}\ m\geq0,\ \text{then}\ \sqrt{m^6}=m^3\\\\\text{if}\ m<0,\ \text{then}\ \sqrt{m^6}=-m^3[/tex]

Answer:

75

Step-by-step explanation:

Square both sides. 225=3x^2

divide both sides by 3

x^2=75

x=√75= 5√3

[tex]15 = x \sqrt{3} \\ \\ 1. \: 15 = \sqrt{3x} \\ 2. \: \frac{15}{ \sqrt{3} } = x \\ 3. \: x = \frac{15}{ \sqrt{3} } [/tex]

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

leg² + leg² = hypotenuse²

We have

leg = 40in

hypotenuse = 41in

Let other leg = x.

Substitute:

x² + 40² = 41²

x² + 1600 = 1681           subtract 1600 from both sides

x² = 81 → x = √81

x = 9in

Answer:

theres the answer I got it right

Step-by-step explanation:

There are 12 inches in every feet and the area will be increased by 144 factors.

Feet and inches are the units of length. One inch is equal to 1/12 times the feet.

The length and the breadth are given as 11 feet and 13 feet.

The area of the bedroom is 143 square feet.

We know that 1ft = 12 in

So, The length would become 11 feet to 132 inches.

The breadth would become 13 feet to 156 inches.

The area would become

The area of the rectangle = length × Width

                                         = 132 ×  156

                                         = 20592 in .sq

The area of the bedroom increased by 144 factors.

Learn more about conversion;

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Answer:

-0.6

Step-by-step explanation:

we know that

The correlation coefficient is a measure of the strength of the straight-line or linear relationship between two variables. Correlation coefficients are expressed as values between +1 and -1

we have

(1,8),(2,3),(3,0),(4,1),(5,2),(6,1)

using a Excel tool (CORREL function)

see the attached table

The correlation coefficient is -0.68

Answer:

X Values

∑ = 21

Mean = 3.5

∑(X - Mx)2 = SSx = 17.5

Y Values

∑ = 15

Mean = 2.5

∑(Y - My)2 = SSy = 41.5

X and Y Combined

N = 6

∑(X - Mx)(Y - My) = -18.5

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -18.5 / √((17.5)(41.5)) = -0.6865

Meta Numerics (cross-check)

r = -0.6865

Answer:

20 disparos

Step-by-step explanation:

Primera etapa es de determinar cuantos tiros de Camilo acertaron al blanco.

Sabemos que en su última práctica, obtuvo 99 puntos con una mezcla de 5, 8 y 10 puntos.  Eso puedo se exprimir así:

5x + 8y + 10x = 99

Sabemos también que el obtuvo tantos tiros de 8 puntos que de 10 puntos, entonces

y = z

Podemos mezclar las 2 ecuaciones y substituir y por z:

5x + 8y + 10y = 99

5x +18y = 99

Una ecuación, dos variables... no es fácil... pero son números pequeños y se puede intentar soluciones.  Entonces, cuantas veces podemos multiplicar 5 y 18 para obtener 99?

El más simple es de hacer la tabla de multiplicación de 18 y ver cual número nos deja con un multiple de 5.

18 x 1 = 18 (99 - 18 = 81, no un multiple e 5)

18 x 2 = 36 (99 - 36 = 63, no un multiple de 5)

18 x 3 = 54 (99 - 54 = 45, SI, un multiple de 5)

18 x 4 = 72 (99 - 72 = 27, no un multiple de 5)

18 x 5 = 90 (99 - 90 = 9, no un multiple de 5)

Entonces, sabemos que y = 3 y z = 3

5x + 18 (3) = 99

5x + 54 = 99

5x = 45

x = 9

El tiró 9 veces por 5 puntos, 3 veces por 8 puntos y 3 veces pour 10 puntos.

En total tiró 15 veces.

Si acertó 75% (3/4) de las veces, cuantos tiros total?

[tex]\frac{15}{3/4} = \frac{15 * 4}{3} = 20[/tex]

Camilo tiró 20 veces en total.

Answer:

C log (20) - log (3)

Step-by-step explanation:

log (a/b) = log (a) - log (b)

log (20/3) = log (20) - log (3)

Answer: C. log (20) - log (3)

Step-by-step explanation: a p e x /\ dude above me is right too

3, because 12/4=3. And 12:4 is equal to 3:1 or 3.