Pls help me quickly

Answer:

area = 2x² - 17x - 21

Step-by-step explanation:

Area of the rectangle is:

area = (width*length)

area = (x+7)*(2x-3)

        = x*2x + x*-3 + 7*2x + 7*-3

        = 2x² - 3x - 14x - 21

        = 2x² - 17x - 21

The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]

Given that,

We need to determine the area of the rectangle

As we know that

The area of the rectangle be

[tex]= length \times breadth\\\\= (2x - 3) (x + 7)\\\\= 2x^2 +14x - 3x - 21\\\\= 2x^2 + 11x - 21[/tex]

Therefore we can conclude that The area of the rectangle in terms of x should be [tex]2x^2 + 11x - 21[/tex]

Learn more about the rectangle here: brainly.com/question/16939594

Answer:

1: 2 and $3.072

Step-by-step explanation:

According to the question, the data provided is as follows

10 half gallons

For this she paid $15.36

Based on the above information,

The ratio in fractional form is

= 1 ÷ 2

= 1 : 2

And, the cost of gasoline per gallon is

Since  half of 10 gallons is 5

And, the amount paid is $15.36

So, the cost of gasoline per gallon is

= $15.36 ÷ 5

= $3.072

Step 1) Set up a proportion

Proportion: percent / 100 = x / number

In context of the problem, the proportion is: 40 / 100 = 10 / number

Step 2) Cross-multiply and solve

100 x 10 = 40 x N

1000 = 40N

N = 25

Answer: The number is 25

Answer:

Step-by-step explanation:

Let the unknown number be x

[tex]40 \% \times x = 10 \\ \frac{40x}{100} = \frac{10}{1} [/tex]

Cross Multiply

[tex]40x = 100 \times 10 \\ 40x = 1000[/tex]

Divide both sides of the equation by 40

[tex] \frac{40x}{40} = \frac{1000}{40} [/tex]

Simplify

[tex]x = 25[/tex]

Answer:

58

Step-by-step explanation:

Use a number line.

-4 + 4 = 0.

So, you already have 4 Fahrenheit.

Then, add the distance of 54 from 0 to 54.

4 + 54 = 58.

That is your answer, here to help!

Answer:

b = y - mx

Step-by-step explanation:

So we are trying to solve for b in the equation y = mx + b. To do this, we will have to somehow get the b by itself on one side and all of the non-b parts of the equation on the other side.

y = mx + b

Subtract mx from both sides.

y - mx = b

b = y - mx

So we have not solved for b. We have found that b = y - mx.

I hope you find my answer and explanation helpful. Happy studying. :)

Answer:

Xmin = –π  Xmax = 3π

Step-by-step explanation:

Domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.

The distance between the repetition of any function is called the period of the function.

For example, for the cosine function, the distance between the repetition of the function is [tex]2\pi[/tex]. So the period of the cosine function is [tex]2\pi[/tex].

If you want to graph the function for exactly two periods the difference between the first and last element of the domain should be two times the period of the function.

i.e. If the domain is [a, b] the value of [tex]b-a = 4\pi[/tex].

Option(1) b-a =720° [tex]=4\pi[/tex]

Option(2) b-a =[tex]2\pi[/tex] [tex]\neq 4\pi[/tex]

Option(3) b-a =360 [tex]\neq 4\pi[/tex]

Option(4) b-a =[tex]3\pi[/tex][tex]\neq 4\pi[/tex]

So, correct option is option(1) i.e. Xmin = 0 & Xmax = 720°

Hence, domain window settings Xmin = 0 & Xmax = 720° would be appropriate if you want to graph the function for exactly two periods.

To get more about the period of a function visit:

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Answer:

your answer is correct

Answer:

(4, 5 )

Step-by-step explanation:

Under a rotation about the origin of 180°

a point (x, y ) → (- x, - y ), thus

B(- 4, - 5 ) → (4, 5 )

Answer:

The correct options are;

B. AC and AD have the same length

D. Triangle BCE is isosceles

Step-by-step explanation:

From the diagram we have;

B. Segment AC and segment CD are the radii of the same circle with center C and radius AC, therefore, given that the radius of a circle is constant round a circle, we have;

The length of AC = The length of AD

D. In triangle BCE, we have the length of segment CB is equal to the length of segment CE which are both radii of the circle with center C and radius CE, therefore, the triangle BCE has two sides equal which gives triangle BCE is an isosceles, from the definition of isosceles.

Answer:

the answer is c

Step-by-step explanation:

i just finished the lesson

Answer:

c

Step-by-step explanation:

Answer:

  mantissa

Step-by-step explanation:

The word "mantissa" is used to describe the portion of the number that represents the significant digits in scientific notation.

__

The term also refers to the fractional portion of a logarithm. Of course, that fractional portion also represents the significant digits of the number. The integer portion of the logarithm is the power of 10 that multiplies the significant digits.

Answer:

h = 10 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh

Here A = 75 and b = 15, thus

[tex]\frac{1}{2}[/tex] × 15h = 75 ( multiply both sides by 2 to clear the fraction )

15h = 150 ( divide both sides by 15 )

h = 10

Answer:

p=7

Step-by-step explanation:

2 (5p-4)=3p-7

(10p-8)=3p-7

10p=3p+1

7p=1

p=7

Answer:

12 = x

Step-by-step explanation:

Symmetry here would involve subtracting the same quantity from both sides of the equation.

Starting with 2x + 5 = 3x -7,

subtract 2x from both sides.  This yields

                            5        = x - 7

Adding 7 to both sides yields

                   12 = x

Answer:

Few things are missing, they are volume of the box is 180 feet cube. Length is 9 feet greater than its height, and weight is 4 feet less than its height.

Step-by-step explanation:

Given, the volume of the box, V = 180 feet cube

Let the height of the box, h = x feet

Therefore, length is, l = ( 9+x ) feet

And width is, b = ( x-4) feet

so volume of the box is

V = l x b x h

[tex]$ 180= (x+9) \times (x-4) \times (x)$[/tex]

[tex]$ x^3 +5x^2-36x -180 =0$[/tex]

Factorizing we get

(x+5)(x-6)(x+6)=0

Therefore,

x = -5, -6, 6

Now since the height of the box cannot be negative, so taking the positive value of x, we get

Height of the box, h = x = 6 feet

Length , l = ( 9+x ) = 9+6 = 15 feet

Width , b = ( x-4) = 6-4 = 2 feet

Answer:

D

Step-by-step explanation:

The solution to a system of equations is where the two equations intersect on a graph.

So, the solution to the system of polynomials graphed below would be where they intersect.

We can see that they intersect at (2,20)

Therefore, their solution is (2,20)

Our answer is D

The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

In the given question,

algebraic expression =  [tex]y^2+6y+8[/tex]

the value of the algebraic expression at y = -3

[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]

Learn more about algebraic expression here

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Answer:

the domain is 5 and the range is 10

Step-by-step explanation:

Answer:

y=38.75x

Step-by-step explanation:

Divide 310 by 8 which will give 38.75 and put it into linear relationship.

Answer: 10

Step-by-step explanation: Because 10times X when X=6 is 60 then 5 times Y when Y=10 makes it 50 then subtract the two numbers

60-50=10

Answer:

is there supposed to be a picture with it? i can't solve it without more information. sorry

Answer: C

Step-by-step explanation:

Answer:

d = r * t

r = 50 mph

this will be very easy.

d = r * t

r = 50 mph

t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.

Answer:

250

Step-by-step explanation:

Answer:

-2.83~

Step-by-step explanation:

google :)

Answer:

3^18

Step-by-step explanation:

[tex](3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489[/tex]

Answer: 35

Step-by-step explanation: add the angles which is 90 and 55. then subtract it from 180. sorry for my bad english, it’s not my first language.