5 divided by 1/4
go straight to the answer

By the polynomial remainder theorem, the remainder is

f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76

(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)

Answer:

Area =L×w

84×18y =L×w

by comparison

L =84 and w=18y

Answer:

Jimmy has 4805 left

Step-by-step explanation:

3.9% = 0.039

5000(0.039) = 195

Mandy took 195 pieces

5000 - 195 = 4805

Jimmy has 4805 left

Answer:

$490

Step-by-step explanation:

Since one hour of work is $12.25, 40 hours is $490.

12.25 x 40 = 490

------------------

John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”

Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.

Answer:

F(x) = x^3  and G(x) = (4x)^3 − 5

so

G(x) = F(4x) -5

the visual effect is

1) shrink horizontally by 1/4

2) shift down by 5

therefore  

the answer is the option

D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Step-by-step explanation:

Answer:

guihnijiop;kl;lkm

Step-by-step explanation:

Answer:

A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.

f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)

f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)

f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)

f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)

Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.

Step-by-step explanation:

plz mark me as brainlist

Answer:

22

Step-by-step explanation:

a+b^2

= -3+(5^2)

= -3+25

=22

Answer:

True

Step-by-step explanation:

Just write down the answer.

Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent

Answer:

Step-by-step explanation:

he volume of the topsoil is

28 ft by 21 ft by 5/15 ft = 245 cubic feet

There are 27 cubic feet in one cubic yard.

245/27 = 9.074074074.... = 9.074

Need 9.25 = 9 and 1/4 cubic yards

Answer:

The rocket will hit the ground after 113.28 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of a rocket, after t seconds, is given by:

[tex]h(x) = -16x^2 + 1812x + 59[/tex]

Using this equation, find the time that the rocket will hit the ground.

This is x for which [tex]h(x) = 0[/tex]. So

[tex]-16x^2 + 1812x + 59 = 0[/tex]

Then [tex]a = -16, b = 1812, c = 59[/tex]

[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]

[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]

[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]

The rocket will hit the ground after 113.28 seconds.

Step-by-step explanation:

[tex] - 12u + 13 = 8w - 3 \\ - 12u + 13 + 3 = 8w \\ - 12u + 16 = 8w \\ w = \frac{ - 12u + 16}{8} \\ w = \frac{ - 3}{2} u + 2[/tex]

I hope that is useful for you :)

Answer:

∠QPT=122°

Step-by-step explanation:

Angles along a straight line add up to 180. Therefore:

∠PRQ+∠PRS=180

∠PRQ+118=180

∠PRQ=180-118

∠PRQ=62°

All angles in a triangle add to 180. Therefore:

∠PQR+∠QPR+∠PRQ=180

60+∠QPR+62=180

∠QPR+122=180

∠QPR=58°

Angles along a straight line add to 180. Therefore:

∠QPT+∠QPR=180

∠QPT+58=180

∠QPT=122°

Answer:

$2.30

Step-by-step explanation:

Multiply 23 by .10 to get 2.3

2.3 is 2 dollars and 30 cents

Answer:

$2.30

Step-by-step explanation:

multiply 23 by the decimal form of 10% (0.10)

23*0.10=2.3

Answer:

A) The first function (the quadratic one) is growing more rapidly.

B) Between x=0 and x=1.

C) We can assume that they don't intersect again.

Step-by-step explanation:

A)

The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.

B)

Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)

C)

We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.

Answer: (-2,9)

Step-by-step explanation: I did this not too long ago!

Solve equation [2] for the variable  y  

 [2]    y = 5x + 19

// Plug this in for variable  y  in equation [1]

  [1]    (5x+19) + 3x = 3

  [1]    8x = -16

Solve equation [1] for the variable  x

  [1]    8x = - 16

  [1]    x = - 2

By now we know this much :

   y = 5x+19

   x = -2

Use the  x  value to solve for  y

   y = 5(-2)+19 = 9

Answer (-2,9)

Answer: it’s 3/4

Step-by-step explanation: you have to make the Denominator equal for all of them In order to be able to compare. So if you make the denominator equal to 36 you then have to multiply the numerator by the same number you did for the denominator. Once doing that you will find that 24/36 < 27/36 < 28/36

Plz brainliest.

Answer:

700

Step-by-step explanation:

4girls=5boys

560girls=?

560*5/4

=700boys

Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

Answer: r=3.659 or 3.7

Step-by-step explanation:

Answer:

[tex] \large \boxed{y = - \frac{2}{3} x + 2}[/tex]

Step-by-step explanation:

both slopes multiply each others must equal to -1 for perpendicular.

[tex] \large{m_1m_2 = - 1}[/tex]

Let m1 = 3/2

[tex] \large{ \frac{3}{2} m_2 = - 1} \\ \large{3m_2 = - 2} \\ \large{m_2 = - \frac{2}{3} }[/tex]

Therefore -2/3 is perpendicular to 3/2. Because the line passes through (6,-2)

[tex] \large{y - y_1 = m(x - x_1)}[/tex]

Given (x1, y1) = ordered pair

Therefore (x1, y1) = (6,-2)

and m = - 2/3

[tex] \large{y + 2 = - \frac{2}{3} (x - 6)}[/tex]

Write in slope-intercept form.

[tex] \large{y = - \frac{2}{3} x + 4 - 2} \\ \large{y = - \frac{2}{3}x + 2}[/tex]

Answer:

4 units

Step-by-step explanation:

Use the distance formula

d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Plug in the points

d = [tex]\sqrt{(-4 - (-8))^2 + (3 - 3)^2}[/tex]

d = [tex]\sqrt{(4)^2 + (0)^2}[/tex]

d = [tex]\sqrt{16}[/tex]

d = 4

So, the distance between the pair of points is 4 units

Answer:

4 units

Step-by-step explanation:

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

The formula above is the formula of distance between two points.

Substitute the ordered pairs in.

[tex] \large{ \sqrt{ {( - 4 + 8)}^{2} + {(3 - 3)}^{2} } } \\ \large{ \sqrt{ {4}^{2} + 0 } } = \sqrt{16} = 4[/tex]

Therefore, the distance between two points is 4 units.

Answer:(2,0) x=2,y=0

Step-by-step explanation:

Let's solve your system by elimination.

−x+y=−2;2x−3y=4

Multiply the first equation by 2,and multiply the second equation by 1.

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0 for y:

−y=0

−y/−1 =0/−1

(Divide both sides by -1)

y=0

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute0foryin−x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/−1 = −2/−1

(Divide both sides by -1)

x=2

Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

12 properties

This means that [tex]n = 12[/tex]

She feels that there is a 50% chance of selling any one property during a week.

This means that [tex]p = 0.5[/tex]

Compute the probability of selling no more than 6 properties in one week.

This is:

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002[/tex]

[tex]P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029[/tex]

[tex]P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161[/tex]

[tex]P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537[/tex]

[tex]P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208[/tex]

[tex]P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934[/tex]

[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127[/tex]

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Answer:

Step-by-step explanation:

ok

a I'm sure

14*7*8

Step-by-step explanation:

we should multiple everything

Answer:

2

Step-by-step explanation:

when i have one fruit and you have another fruit and we add them together they are gonna b two