Please help

15 points bc I’m new and only have like 50. I’ll also give branliest

Answer:

x² - 4x + 3 = 0

Step-by-step explanation:

given roots x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation is then the product of these factors , that is

(x - a)(x - b) = 0

given

roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then

(x - 3)(x - 1) = 0 ← expand factors using FOIL

x² - 4x + 3 = 0

The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L respectively. Option B is correct.

Each consecutive term in an arithmetic sequence has a common constant difference.

The sequence of the  liters of gasoline on each day is;

0.75,1.5,2.25,3

The given series is an arithmetic series with a common difference of 0.75

Common difference,d=0.75

First-term,a=0.75

The amount of gasoline used on the eighth day of his trip.

The nth term of the arithmetic sequence is;

[tex]\rm a_n = a+(n-1)d \\\\ \rm a_8 = 0.75+(8-1)0.75 \\\\ a_8 = 6[/tex]

The 8th term of the arithmetic sequence is 6L.

The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and  6 L.

Hence, option B is correct.

To learn more about the arithmetic sequence refer;

https://brainly.com/question/15412619

#SPJ1

It would be 5 because three quarters of 20 would be 15, and 5 would be the remainder.

Step-by-step explanation:

Sorry if its wrong I cant see the answer choices

This is a geometric progression

So

The general formUla is

[tex]\\ \rm\Rrightarrow a(n)=ar^{n-1}[/tex]

[tex]\\ \rm\Rrightarrow a(n)=\dfrac{1}{4}\left(\dfrac{1}{4}\right)^{n-1}[/tex]

Answer:

[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Step-by-step explanation:

Series: the sum of the elements of a sequence.

Therefore, as the numbers have been defined as a series and we need to find [tex]S_n[/tex]:

[tex]\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{64}+\dfrac{1}{256}+...[/tex]

First determine if the sequence is arithmetic or geometric.

If it is an arithmetic sequence, there will be a common difference between consecutive terms.

if it is a geometric sequence, there will be a common ratio between consecutive terms.

From inspection of the terms, we can see that there is a common ratio of 1/4, as each term is the previous term multiplied by 1/4, so it is a geometric series.

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Given:

[tex]a=\dfrac{1}{4}[/tex]

[tex]r=\dfrac{1}{4}[/tex]

Substitute the values of a and r into the formula:

[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{1-\frac{1}{4}}[/tex]

[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{\frac{3}{4}}[/tex]

[tex]\implies S_n=\dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Therefore:

[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]

Answer:

is b i think

hope my answer help you

Step-by-step explanation:

[tex] = (x + y)(x + 6y)[/tex]

[tex] = x \times x + x \times 6y + y \times x + y \times 6y[/tex]

[tex] = {x}^{2} + 6xy + xy + 6 {y}^{2} [/tex]

[tex] = {x}^{2} + 7xy + 6 {y}^{2} [/tex]

Answer:

x = 2

Step-by-step explanation:

3x + 1 = 7

3x = 7 – 1

3x = 6

x = 6/3

x = 2

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

Answer:  [tex]\textsf{x = 2}[/tex]

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

Given:  [tex]\textsf{3x + 1 = 7}[/tex]

Find:  [tex]\textsf{Solve for x}[/tex]

Solution: In order to isolate x we need to subtract 1 from both sides and the divide both sides by 3.

Subtract 1 from both sides

Divide both sides by 3

Therefore, the value of x is equal to 2.

The measure of the fourth interior angle of the quadrilateral will be 68°.

Angles in a quadrilateral are the four angles that occur at each vertex within a four-sided shape, these angles are called interior angles of a quadrilateral. The measure of interior angles of a quadrilateral always sums up to 360°.

Let the measure of the fourth interior angle be x.

x + 55° + 117° + 120° = 360°

x + 292° = 360°

x = 68°

Hence, the fourth interior angle will be 68°.

To learn more about interior angles here

https://brainly.in/question/32596480

#SPJ1

Answer:68

Step-by-step explanation:

I got it right on e2020

The parallelogram will translate along the arrow and reach the head of the arrow.

The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.

In the given figure, the parallelogram is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.

For more explanation about translation or rotation, refer to the following link:

hhttps://brainly.com/question/9032434

#SPJ10

Answer:

1 = 120

2 = 120

Step-by-step explanation:

The value of g(-3)=-9

The function is a relation between two sets X and Y which are one-one or many-one. Here set X is called the domain and set Y is called codomain.

For example: f(x)=3x+9

To get the value of the function at any point of x, we have to put the number in the function to get its function value.

For example the value of f(x) in above function at x=a will be f(a)=3a+9

Similarly given function in the question

g(x)=2x+3

to get the value of g(x) at x=-3 put the value of x in the function,

g(-3)= 2(-3)+3 = -3

Therefore the value of g(-3) is -3.

Learn more about Function

here: https://brainly.com/question/4025726

#SPJ10

Circumference

Area

Answer:

Ig u have forgotten about the figure u need to ask it again but with figure

There is an infinite number of length-width pairs that will result in a diagonal value of c.

Let a = the length. This is unknown.

Let b = the width. This is unknown.

Let c = the diagonal. This is a known value.

We have a right triangle with side a, side b, and hypotenuse c.

Since this is a right triangle, we will use the Pythagorean Theorem.

The Pythagorean Theorem is

[tex]c^2 = a^2 + b^2.[/tex]

Rearranging this formula gives

[tex]a^2 = c^2 - b^2[/tex]

And,[tex]a = \sqrt{(c^2 - b^2)}[/tex]

Now, if you chose a value for the width, b, then you can compute the corresponding for the length, b, since c is a known value. If you chose another value for the width, you can compute the length value corresponding to your width value.

There is an infinite number of length-width pairs that will result in a diagonal value of c.

To learn more about the sides visit:

https://brainly.com/question/20296962

#SPJ1

Answer:

result is 20%

Step-by-step explanation:

initially B was 100%

therefore 100% - 40%

=60% remaining

60% - 40%

= 20%

Answer:

The answer is 0.36b

Step-by-step explanation:

b-0.4xb=b-0.4b=0.6b

0.6b-0.4(0.6b)=0.6b-0.24=0.36b

Answer:

0

Step-by-step explanation:

0 is a rational number...........

Answer:

2u-1/3v = (4, -2)

Step-by-step explanation:

Given vector u and v,

v = (-6, -6)

u = (1, -2)

2*u = (2*1, -2*2) = (2, -4)

1/3*v = (1/3*-6, 1/3*-6) = (-2, -2)

So, 2u = (2, -4) and 1/3*v = (-2, -2)

We have 2u-1/3v = (2, -4) - (-2, -2) = (4, -2)

Therefore, 2u-1/3v = (4, -2)

The inequality which represents the situation is; |x - 7| < 20 and the solution is; 27 > x > -13.

Since the number is less than 20 units away from.the number 7 on the number line, it follows.from interpretation that the inequality is;

|x - 7| < 20

Hence; x-7 < 20; x < 27

Or

-x + 7 < 20

-x < 13

x > -13

Hence, the solution of the inequality is; 27 > x > -13.

Read more on inequalities;

https://brainly.com/question/11613554

#SPJ1

the general equation of a circle is given by (x-a)^2+(y-b)^2=r^2

where (a,b) are the coordinates of the center.

from the given equation then (1,0) will be the center of the circle. and for the radius of the cirlce equate r^2 with 5...r^2=5 therfore r=

[tex] \sqrt{5} [/tex]

.

Answer:

answer is B

Step-by-step explanation:

We know,

Opposite of a big arm has a big angle....the same way you can find the next two....

as 18>16>14

Answer:

the answer is D

Step-by-step explanation:

the answer is D because the

Answer: d

Step-by-step explanation:

Answer:

187

Step-by-step explanation:

Answer:

800 is the answerrrr....

Answer: No

Step-by-step explanation:

A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.

Answer:

no

Step-by-step explanation:

because it does not represent any propotional relationship.

Answer: Answers attached in an image.



Step-by-step explanation: Work is attached on the image.

Answer:

OQ = 11

Step-by-step explanation:

Segment Addition Postulate

If a third point B lies on a line segment with endpoints A and C, then AB + BC = AC

Given:

Q is the point on the line segment OP, so:

⇒ OQ + QP = OP

Substitute the given values of OP and QP to find OQ:

⇒ OQ + 6 = 17

⇒ OQ + 6 - 6 = 17 - 6

⇒ OQ = 11

Answer:

option C.

Step-by-step explanation:

If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.

The equation for average rate of change is -

Δx/Δf =

f(x2) - f(x1) / x2 - x1

Answer:

  C  k(x)

Step-by-step explanation:

The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:

  [tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]

__

Here, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.

  A. j(2) -j(0) = 3(1.6²) -3 = 4.68

  B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5

  C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change

  D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5

The function k(x) has the greatest average rate of change over the interval [0, 2].

Answer:

59

Step-by-step explanation:

[tex] \sqrt{ {6}^{2} + {5}^{2} } = \sqrt{36 + 25} = \sqrt{61} [/tex]

[tex] \cos(p) = \frac{4}{ \sqrt{61} } [/tex]

[tex]p = {cos}^{ - 1} \frac{4}{ \sqrt{61} } = 59[/tex]

Make sure your calculator is in degree mode.

Answer: 10.78

Step-by-step explanation:

Answer:

Answer is 12.5 degrees

Answer:

x = 12.5

Step-by-step explanation:

4(x + 40) + 4(3x) = 360

4x + 160 + 12x = 360

16x + 160 = 360

16x = 200

x = 12.5