f(x) = 5x^3 + 2x^2 – 7x + 4
g(x) = 3x – 7
Find (f +g)(x)

Answer:

3 hours

Step-by-step explanation:

11 / 33 =3

11 x 3 = $33

Answer:

3

Step-by-step explanation:

If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.

Answer: {0, -4}

Step-by-step explanation: Notice that the two terms on the left side

of the equation have a greatest common factor of 6x.

So start by factoring out a 6x to get 6x(x + 4) = 0.

So either 6x = 0 or x + 4 = 0.

Eventually we find that x = 0 or x = -4.

So our solution set is {0, -4}.

Answer:

0.06

Step-by-step explanation:

probability of multiple of 6= 0.2

probability of multiple of 4= 0.3

0.2 * 0.3 = 0.06

Answer:

If there are 13 guests, it would cost Norma $26

Step-by-step explanation:

Since 12 guest equals 24 dollars all you have to do is divide 24/12 which would give you 2dollars. this means that she has to pay 2 dollars per guest. Multiply 13 becuase you want to know how much money it would cost with 13 guests and you get 26 dollars. Hope this helps.

Answer:

It'll cost $26 !

Step-by-step explanation:

if you set it up like this;

[tex]\frac{13}{x}= \frac{12}{24}[/tex]

you can see a few ways of solving this !

one way is cross multiplication .

13 x 24 = 312

312 / 12 = 26

Answer:

3, 11, and 14

Step-by-step explanation:

One side length of a triangle that is selected at random must be smaller than the sum of the other two side lengths and bigger than their difference

one side of this triangle is 4 and the other is 7 so if we call the third side length x

7-3 < x < 7+3 ➡ 4 < x < 11

Answer: m=3/4

Step-by-step explanation:

Looking at the table given, we can assume two of the points are (9,-24) and (13,-21). To find the slope with given points, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We can plug the two points in and solve.

[tex]m=\frac{-21-(-24)}{13-9} =\frac{3}{4}[/tex]

Now, we know that the slope is 3/4.

Answer:

slope = 3/4

Step-by-step explanation:

Answer:

y = 3x  + b

3x is the slope

y = 3x + 1 because 1 is the y intercept

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

You know the  y intercept by looking where the line hits the y axis, which is at (0,1), so you know the "b" of the equation is 1. Then, you do rise over run. If you rise 3 and run 1, you get to another point, so I know the slope is 3/1 or 3.

Answer:

length = 10.64 cm, width = 5.64 cm, and height = 5 cm.

Step-by-step explanation:

Total volume of dice that filled the box = (150 x 2) cm³

                                         = 300 cm³

Let the length, width and height of the box be represented by l, w and h respectively.

So that;

l = (w + 5) cm

w = w

h = 5 cm

volume of the box = length x width x height

                               = (w + 5) x w x 5

                               = (w + 5) x 5w

                               = 5[tex]w^{2}[/tex] + 25w

volume of the box = 5[tex]w^{2}[/tex] + 25w

Since the box was completely filled by 150 dice, then;

total volume of dice = volume of the box

300 = 5[tex]w^{2}[/tex] + 25w

5[tex]w^{2}[/tex] + 25w - 300 = 0

Divide through by 5 to have;

[tex]w^{2}[/tex] + 5w - 60 = 0

Applying the quadratic expression,

w = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a

where: a = 1, b = 5 and c = -60

(-5 ± [tex]\sqrt{5^{2} - 4(1*-60)}[/tex] ) ÷ 2

(-5 ± [tex]\sqrt{265}[/tex]) ÷ 2

(-5 ± 16.28) ÷ 2

(-5 + 16.28) ÷ 2 OR (-5 - 16.28) ÷ 2

5.64 OR -10.64

Thus, w = 5.64 cm

So that, l = (w + 5) = 10.64 cm

The possible dimensions of the box are: length = 10.64 cm, width = 5.64 cm and height = 5 cm.

Answer:

Adam's container

Step-by-step explanation:

Adam's: 8.75/ 3.5 = 2.5

Marco's: 9.75/ 3.75 = 2.6

= 2.5

Answer:

b

Step-by-step explanation:

Answer:

The answer would be two and four

Step-by-step explanation:

Answer:

II and IV

Step-by-step explanation:

H and S only would appear the same after 180° rotation.

Answer:

x = 25

Step-by-step explanation:

Answer:

x= 25

Step-by-step explanation:

Add 2 given sides then subtract 180

Answer:

It’s 55

Step-by-step explanation:

180- 125=55

Answer:

This is a same side interior angle. I just learned this in class so don't blame me if your wrong, ur taking advice from a 4th grader dude.

Answer is: x

read the explanation lol

Step-by-step explanation:

So we know angle 3 and 4 is=180

7 and 8 =180

but 4 and 7 ALSO add up to 180, I think you can do this now. It's mental math.

Hint: 125+x=180

Answer:

y=2

Step-by-step explanation:

that is it!!! I hope I'm correct..

Answer:

21

Step-by-step explanation:

Given

3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression

= 3(2) + 5(11 - 8) ← evaluate parenthesis

= 6 + 5 × 3

= 6 + 15

= 21

Answer:

22%

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

252/140=9/X

252x=1260

x=5

Answer:

if ur asking which is a better deal, then it's the 8 lb ham for 9.60

Step-by-step explanation:

Answer:

8lb ham for $9.60

Step-by-step explanation:

Answer: 1.953... or 125/64

Step-by-step explanation:

Answer:

a, b ,e

Step-by-step explanation:

The solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

"It is a value or a set of values, when substituted for the unknowns, the equation becomes true."

For given question,

We have been given the graph of a quadratic function f(x) and an absolute value function g(x).

We need to find the x-values that are approximate solutions to the equation f(x) = g(x).

To solve the equation f(x) = g(x), we look for the points where the graphs of f(x) and g(x) intersect.

The intersection point of f(x) = g(x) appears to be at point which lie in the second quadrant and the x-value lie between -2 and -4.

Also,  the second intersection point lie in the fourth quadrant where x value is in between 4 and 6.

So, the solutions to the equation f(x) = g(x) are x = -3.3 and x = 5.2

The correct answers are option (A) and option (E)

Learn more about the solution to the equation here:

https://brainly.com/question/14603452

#SPJ2

Answer:

M(-1,7), N(3,6), O(1,1)

Step-by-step explanation:

The coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that the coordinates are M(1, 3),N(5, 2), and O(3, −3).

We have to translate 2 units left and 4 units up.

The coordinates obtained after applying the given geometric transformation are M'(-1,7), N'(3,6), O'(1,1)

Thus, the coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Answer:

r = 25

Step-by-step explanation:

r/5 = 5

5 x r/5 = 5 x 5

r = 25

Answer:

r=25

Step-by-step explanation:

r/5-6+6= -1+6

r/5=5

r/5×5=5×5

r=25

Answer:

-3/4x

Step-by-step explanation:

Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.

Answer:

The probability that the next spin will land on blue is 0.12.

Step-by-step explanation:

The result of the several spins are as follows:

Color           Frequency

Red                  18

Blue                   9

Green               18

Yellow              19

Purple               12

TOTAL             76

Compute the probability that the next spin will land on blue as follows:

[tex]P(Blue)=\frac{n(Blue)}{N}\\\\=\frac{9}{76}\\\\=0.1184211\\\\\approx 0.12[/tex]

Thus, the probability that the next spin will land on blue is 0.12.

The probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12 and this can be determined by using the given data.

Given :

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple.

The spinner is spun several times, and the results are recorded below:

Colour                               Frequency

Red                                         18

Blue                                         9

Green                                      18

Yellow                                     19

Purple                                      12

So, the total frequency is = 18 + 9 + 18 + 19 + 12

                                          =  76

Based on the above given results, the probability that the next spin will land on blue is given by:

[tex]\rm P = \dfrac{n}{N}[/tex]

[tex]\rm P = \dfrac{9}{76}[/tex]

P = 0.1184

P [tex]\approx[/tex] 0.12

So, the probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12.

For more information, refer to the link given below:

https://brainly.com/question/11034287

Answer:

133

Step-by-step explanation:

its an obtuse angle

Answer:

[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]

Step-by-step explanation:

Answer:

.51

Step-by-step explanation:

P(F)=.55, P(S)= .4

P(F ∩ not S)= .55×.6=.33

P(S ∩ not F)= .4×.45=.18

.33+.18=.51

Answer:

The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

Step-by-step explanation:

Given information:

A company is considering purchasing materials:

The probability of purchasing mineral rights

Form the first mountain [tex]p_1=0.55\\[/tex]

From the second mountain [tex]p_2=0.4[/tex]

As the decision is made independently

So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]

P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]

Similarly, the value of

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]

Hence , [tex]P=0.33+0.18[/tex]

[tex]P=0.51[/tex]

Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

For more information visit:

https://brainly.com/question/8284622?referrer=searchResults

Answer:

16.5 pages

Step-by-step explanation:

Number of pages Ingrid types = 3

Number of pages Tanya types = 4.5

The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:

3 : 4.5 = 11 : x

Thus:

[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]

Cross multiply

[tex] 3*x = 11*4.5 [/tex]

[tex] 3x = 49.5 [/tex]

Divide both sides by 3

x = 16.5 pages