last month leonardo went to the gas station 5 times to buy gas for his car the numbers of gallons he purchased were 14.071, 14.32, 14.199 and 14.1 gallons

Answer:

Yes, the binomial is a factor of the polynomial function.

Step-by-step explanation:

Consider the given polynomial.

Factor out the common term [tex]x^2[/tex] from the first two terms and [tex]-25[/tex] from the last two terms.

[tex]x^3 + 3x^2 -25x-75=x^2(x+3)-25(x+3)[/tex]

Factor out the polynomial.

[tex]x^2(x+3)-25(x+3)=(x+3)(x^2-25)[/tex]

Further, simplify.

[tex](x+3)(x^2-25)=(x+3)(x+5)(x-5)[/tex]

Therefore, [tex]x^3 + 3x^2 -25x-75=(x+3)(x+5)(x-5)[/tex]

A binomial factor is simply a factor with two terms, like (x - a).

Hence, the given polynomial function is binomial as it contains the factor with two terms, like (x - a).

Answer:

Yes           No

Yes(x+3)  No (x−1)  

Yes – (x−5)

Yes – (x+5)   No – (x−3)    

Step-by-step explanation:

Hello future k12/brainly users

pls give FelisFelis upvotes and thanks because they gave the original answer and were downvoted despite being right mostly because whoever downvoted them (calling you out 5 downvoters) didn't take the time to read the explanation correctly.

Answer:[tex]-\frac{189}{208}[/tex]

Step-by-step explanation:

Given

[tex]\sin x=\frac{8}{10}[/tex]

x lies in the second quadrant where sin and cosec is positive and rest trigonometric functions are negative

so, [tex]\cos x=-\sqrt{1-sin ^2 x}\\\cos x=-\sqrt{1-(\frac{8}{10})^2}=-\sqrt{\frac{36}{100}}\\\cos x=-\sqrt{\frac{6}{10}}[/tex]

[tex]\tan x=\frac{\sin x}{\cos x}=-\frac{4}{3}[/tex]

similarly, [tex]\tan y=-\frac{12}{5}[/tex]

Also, y lies in 4 th Quadrant where cos and sec is positive and rest trigonometric functions are negative

[tex]\sec y=\sqrt{1+\tan ^2y}=\sqrt{1+(-\frac{12}{5})^2}\\\sec y=\frac{13}{5}\\\cos y=\frac{5}{13}\\\sin y =\frac{\tan y}{\cos y}=-\frac{12}{13}[/tex]

Now putting the values

=[tex]\dfrac{\cos x \cos y+\sin x\sin y}{\tan x-\tan y}=\dfrac{(\frac{-6}{10})(\frac{5}{13})+(\frac{8}{10})(\frac{-12}{13})}{(\frac{-8}{6})-(\frac{-12}{5})}\\\dfrac{\cos x \cos y+\sin x\sin y}{\tan x-\tan y}=\dfrac{\frac{-126}{130}}{\frac{16}{15}}=-\frac{189}{208}[/tex]

Answer:

1/4

Step-by-step explanation:

(2-1)/(9-5)

1/4

Answer:

$53.00

Step-by-step explanation:

Turn the percentage into a decimal:

50 x 0.06 = 3

The sales tax for the camera is $3.00

$50.00 + $3.00 = $53.00

Answer:

Step-by-step explanation:

From the picture attached,

Number of stars = 3

Number of squares = 5

Ratio of stars to squares can be written in three forms as,

Number of stars to number of square = 3 to 5

Number of stars : Number of squares = 3 : 5

[tex]\frac{\text{Number of stars}}{\text{Number of squares}}=\frac{3}{5}[/tex]

Answer:120

Step-by-step explanation:

Answer:

ACTUALLY I HAD MADE A PPT IN PREZI THE ANSWER IS THERE PLS CHECK THERE : JUST SEARCH THIS QUESTION IN PREZI U WILL GET IT (I PROMISE)

HOPE IT HELPS

IF IT HELPS PLS MARKE AS BRAINLIEST ! :)

Step-by-step explanation:

Answer:

im answering so other guy gets brainliest

Step-by-step explanation:

Answer:

Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.

Step-by-step explanation:

Answer:

[tex]D = 3\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (6,-7)[/tex]

Required

Determine the distance between the two points

Distance (D) is calculated as:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substitute values for x's and y's

[tex]D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}[/tex]

[tex]D = \sqrt{(6 - 3)^2 + (-7 +4)^2}[/tex]

[tex]D = \sqrt{(3)^2 + (-3)^2}[/tex]

[tex]D = \sqrt{9+9}[/tex]

[tex]D = \sqrt{18}[/tex]

Express as 9 * 2

[tex]D = \sqrt{9*2}[/tex]

Split:

[tex]D = \sqrt{9}*\sqrt{2}[/tex]

[tex]D = 3*\sqrt{2}[/tex]

[tex]D = 3\sqrt{2}[/tex]

Answer:

5.3

Step-by-step explanation:

It will take a time 0f 5.5 hours to pick 40 bushels of apple if they worked together.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Suppose we have two ratio p : q and r : s.

If both these ratios are proportional, then we can write it as p: q : : r : s.

This is same as p : q = r : s or p/q = r/s

Given that,

Amount of bushels picked by Maria in 10 hours = 40

Amount of bushels picked by Maria in 1 hour = 40/10 = 4

Amount of bushels picked by Kayla in 12 hours = 40

Amount of bushels picked by Maria in 1 hour = 40/12 = 3.333

Amount of apple picked by both Maria and Kayla in 1 hour if they worked together = 4 + 3.333 = 7.333

Let x be the time taken to pick 40 bushels of apple by both.

Using proportional concept,

x / 40 = 1 / 7.333

x = 40 / 7.333

x = 5.4548 ≈ 5.5 hours

Time taken if they both worked together is 5.5 hours.

To learn more about Proportions, click :

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Answer:

$45

Step-by-step explanation:

Per hour = $15

3 hours = $?

15 x 3

45

Answer:

Child ticket

Step-by-step explanation:

Cost per senior citizen = $10.50

Cost per adult = $15.75

Cost per child = $8.25

Since the cost of the 2 additional ticket is $16.50

Then the only ticket of which two can be purchased with that amount is :

$16.50 / 2

= $8.25

Cost of children ticket.

Answer:

D

Step-by-step explanation:

Answer:

460 can not be the number because 460 nearest hundred is 500

Answer: 2 batches

Step-by-step explanation: 2 2/3 divided by 1 1/3 = 2

Answer:

answer in explination

Step-by-step explanation:

A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

I dont really know what the question is so i just put what "Value of the constant" is

Answer:

13

Step-by-step explanation:

a = w + 5

18 = w + 5   [subtract 5 from both sides of equation]

13 = w

Answer:

4/7

Step-by-step explanation:

The amount of cup of chocolate each person get is 4/7.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Number of person = 7

Number of cups of chocolate = 4

The equal amount of hot chocolate each person gets.

= 4/7

Thus,

4/7 cup of hot chocolate each person got.

Learn more about fractions here:

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Answer:

/???

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

2nd and 3rd options are the right answers

Step-by-step explanation:

The point is in the fourth quadrant

The point is 1 unit below x axis

Answer:

-9x + 13

Step-by-step explanation:

9 -3x +(-6x) +4

you will add -3x+(-6x), then add 9+4

-3x+(-6x) = -9x   (a negative pus and negative = a negative

9 +4 = 13

-9x + 13

Answer:

1.6

Step-by-step explanation:

Step one:

given data

x1=10

y1=16

x2=30

y2=48

Required

The slope of the given points

Step two:

The expression for the slope is

S= change in y/change in x

S= y2-y1/x2-x1

S= 48-16/30-10

S=32/20

S=1.6

Hence the slope is 1.6

Answer:

D sound

Step-by-step explanation:

i belive is sound

Answer:

sound

Step-by-step explanation:

speakers make sound waves, not motion, light, or heat.

Answer:

b i think

Step-by-step explanation:

Here is the full question:

[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]

[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]

[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]

The Probability mass function (X) is:

[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]

[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]

= 0.2007

b)

[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]

[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]

= 0.2510

c)

[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]

[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]

= 0.2150

Answer:

90 units

Step-by-step explanation:

Answer:

its 12.25 im pretty sure

Step-by-step explanation:

sorry if its wrong

Answer:

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Step-by-step explanation:

What is the solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Solving the equation

[tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]

Subtracting 2 on both sides

[tex]\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7[/tex]

Adding 5/8x  on both sides

[tex]\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7[/tex]

Multiply both sides by 8/7

[tex]\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8[/tex]

So, we get x = -8

The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]

Option A is correct option.

Answer:

10,500

Step-by-step explanation:

10,200

you divide 255÷50 and it gives you 5.1

then you just multiply 2000×5.1

Answer:

A

Step-by-step explanation:

the domain is the x value

range y value