if there are fewer than 4 gallons of gas in the tank, what is the inequality?

Answer:

A. x = 5, -3

Step-by-step explanation:

The quadratic equation/formula is:

[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}[/tex]

The setup is:

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

[tex]4x^2 - 8x -60=0[/tex]

Plug in the numbers according to the letter associated:

[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]

[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]

[tex]x = \frac{8+-32}{8}[/tex]

Solve for addition and subtraction:

[tex]x = \frac{8+32}{8}[/tex]                                                                              [tex]x = \frac{8-32}{8}[/tex]

[tex]x = \frac{40}{8}[/tex]                                                                                  [tex]x = \frac{-24}{8}[/tex]

x = 5                                                                                      x = -3

Answer:

B.g(x) = RootIndex 3 StartRoot x minus 3 EndRoot + 4

Step-by-step explanation:

Equation, graphed along with the parent function is g(x) = ∛(x-3) + 4

The correct option is B.

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x).

Given,

Graph of a parent function

and equation is graphed along with the parent function

Parent function

f(x) = ∛x

By the graph,

There is 3 unit horizontal shift to positive side, and 4 unit vertical shift to upwards in parent function

Thus, function drawn along with it is

g(x) = ∛(x-3) + 4

Hence, g(x) = ∛(x-3) + 4 is the equation, graphed along with the parent

function.

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Answer:

Step-by-step explanation:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Answer:

its a on edge 2021

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

×-1/×-1=1

×-1=1(×-1)

×-1=×-1

×-×=-1+1

0=0

0

The value of the equation is 1.

The equation given is (x-1)/(x-1) = 1.

To determine the solution, we can simplify the equation by canceling out the common factor (x-1) on both sides:

(x - 1)/(x - 1) = 1

1 = 1

The simplified equation 1 = 1 is always true for any value of x.

Therefore, the original equation is true for all values of x, except when x = 1.

When x = 1, the equation is undefined because the denominator becomes zero, resulting in division by zero.

Hence the value of the equation is 1.

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Answer:

Factors of the constant term

Step-by-step explanation:

the answer is "factors of the constant term"! i hope this helped

The question is incomplete, so here is the complete question.

Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contigency table. Circle the largest  joint frequency and put a box around the smallest marginal frequency.

                    Romanticism         Gothic            Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer and Step-by-step explanation:

Part A:

             Romanticism        Gothic       Total

Males            48                     63            111

Females        59                     62           121

Total              107                   125         232

Part B: The preferred style is Gothic by a percentage of

P = [tex]\frac{125}{232}[/tex]

P = 54%

Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.

Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.

Answer:

74

Step-by-step explanation:

Both angles x and 106 are supplementary which means

x+106=180

x=180-106

x=74

Answer:

74°

Step-by-step explanation:

In the image you have provided, angle 'x' and 106° are co-interior angles. This mean that both the angles add up to 180°. We can easily identify co-interior angles because the angles would be inside. The other types of angles you can get is vertical and corresponding. Using the information in the second sentence we can set up an equation,

⇒ Form an equation

→ x + 106 = 180

⇒ Minus 106 from both sides to isolate x

→ x = 74°

The values of angle x is 74°

Answer:

141

Step-by-step explanation:

24 (triangle) + 117 (trapezoid)

Answer:

141

Step-by-step explanation:

Trapezium + triangle

[½ × (16+10) × 9] + [½ × 6 × 8]

117 + 24

141 in²

Answer:16

Step-by-step explanation:

5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six

Answer:

25%

Step-by-step explanation:

Answer: A. xy + 4x

Step-by-step explanation:

(x)(y + 4)

distribute the x to both terms

xy + 4x

hope this helps! :)

Answer:

A. xy + 4x

Step-by-step explanation:

(x)(y + 4)

distribute the x to both terms

xy + 4x

Answer:27.7

Step-by-step explanation:

the formula for a cone is V=1/3πr*2h

it is 1/3 because a cone is one-third of a sphere.

you then put the information from the text in the formula and you get this

V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)

then you get the answer 27.6948

round to the nearest 10th and you get

A. 27.7

Also, I took the test.

There are 27.77 in³ of frosting is in the bag.

The amount of space, measured in cubic units, that an object or substance occupies.

Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.

Volume of cone = ¹/₃πr²h

r = 4.2/2 = 2.1 in

h = 6 in

Volume = ¹/₃x2.1x2.1x6

= 27.77

Hence, the volume of the cone is 27.77 in³

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Answer:

9.5

Step-by-step explanation:

Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.

Answer:

C; A

Step-by-step explanation:

(coming from an 8th grader :)

1. should be A, because on each side of the quadrilateral there are two lines being mirrored.

2. should be C, because the angles are acute and not right or straight. you may be thinking “but there is a straight line” yes, you are right there’s a straight line, but there’s multiple angles consisted in making one whole angle.

Answer:

(-4.5, -4.5)

Step-by-step explanation:

To find the midpoint add the x coordinates and divide by 2

(-6+-3)/2 = -9/2 = -4.5

Then add the y coordinates and divide by 2

(-2+-7)/2 = -9/2 = -4.5

Answer:

i think its 25 because like if 72 is the shaded part then it can't be the answer 100 wouldn't be the answer because it is too high and 20 wouldn't be the answer because it is too low so 25 is my reasonable answer.

Step-by-step explanation:

Since the area to me is 25 then we would do 360 x 25 = 9000

the you do 9000 / 36 i got 36 by doing 360 / 10

After that you you do 9000 / 36 which gives you 2.5

Last i did 2.5 x 10 which gave me 25

Answer:

quadratic table

Answer:

i think it is exponential

Answer: You find it by using slope

Step-by-step explanation

If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).

ex: y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

Answer:50%

Step-by-step explanation:

Each week the number decreased by 1/2 which is equal to 50%. Therefore the average number of decrease per week is 50%. Hope this helped!!

could I by any chance get a brainliest?

The percent decrease in the average number of visits each week since the end of the season was 50%.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends.

The average number of visits on the website for 5 weeks is given

The average number of visits decreased by half each week.

So the percent decrease in the average number of visits each week since the end of the season was 50%

Therefore, the percent decrease in the average number of visits each week since the end of the season was 50%.

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Answer:

312π mm3

Step-by-step explanation: yes

The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct

The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.

Volume is defined as the ratio of the mass of an object to its density.

Volume of composite figure =  Volume of semi-sphere  + Volume of cone
                                              =   2/3πr³ + 1/3πr²h
                                              =  2/3*6³π + 1/3*6²*14π
                                              =   312π mm³

Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.

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Answer:

337.5

Step-by-step explanation:

You need to add 10 to the height then multiply 25 times 27 then divide by 2.

Hope this helps.

Answer:

212.5 cm² and 120 in²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

(4)

Here b = 25 and h = 17, thus

A = 0.5 × 25 × 17 = 212.5 cm²

(5)

Here b = 12 and h = 20, thus

A = 0.5 × 12 × 20 = 6 × 20 = 120 in²

Answer:

It is C i just had that question

Step-by-step explanation:

Answer:

just c i had that question too

Step-by-step explanation:

Answer:

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

10 to big 16 to large 3 to small 8 just right

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

$480 in interest to make a total of $1,480. She will not have enough money

Step-by-step explanation:

I=P.r.t

=1000*0.02*24

=$480

Total after 2 years: 1000+480=$1,480

Answer:

- 3y² - 7y + 6

Step-by-step explanation:

Given

(- 3y + 2)(y + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

- 3y (y + 3) + 2(y + 3) ← distribute both parenthesis

= - 3y² - 9y + 2y + 6 ← collect like terms

= - 3y² - 7y + 6

Answer:

is it A?

Step-by-step explanation:

i choose that because its the only one with -3y² which is correct