Simplify the expression below. 4x(3x − 7) − 19x2

Answer:g(x) = (x + 3)^2

Step-by-step explanation:

It is translated 3 units to the right so it is the only one that makes sense!

<!> Brainliest is appreciated! <!>

Answer:

from left: 220, 177

Step-by-step explanation:

unit rate = first derivative = slope

first graph;

slope = (880-660)/(4-3) = 220 ft/min

2nd graph;

slope = (177-0)/(1-0) = 177 ft/min

Answer:

8x² +36x -27=0

Step-by-step explanation:

2x²= 6x +3

Let's rewrite the equation into the form of ax²+bx+c= 0.

2x² -6x -3=0

Thus, a= 2

b= -6

c= -3

Sum of roots= [tex] - \frac{b}{a} [/tex]

Since your roots are p and q, sum of roots= p +q

p +q= [tex] - (\frac{ - 6}{2} )[/tex]

p +q= 6 ÷2

p +q= 3

Product of roots= [tex] \frac{c}{a} [/tex]

pq= [tex] - \frac{3}{2} [/tex]

Quadratic equations:

x² -(sum of roots)x +(product of roots)= 0

Thus, we have to find the sum and the product of the new roots, p²q and pq².

p +q= 3

pq= -3/2

Product of new roots

= (p²q)(pq²)

= p³q³

= (pq)³

[tex] = ( - \frac{3}{2} )^{3} \\ = - \frac{27}{8} [/tex]

sum of new roots

= p²q +pq²

= pq(p +q)

= (-3/2)(3)

= -9/2

Thus, the quadratic equation with roots p²q and pq² is

x² -(-9/2)x -27/8 = 0

[tex]x ^{2} + \frac{9}{2} x - \frac{27}{8} = 0[/tex]

Multiply by 8 throughout:

[tex]8 {x}^{2} + 36x - 27 = 0[/tex]

Answer:

7 and 5/6.

Seven and five-sixths.

Step-by-step explanation:

-2 and 1/3  = -6/3 and 1/3 = -7/3

-10 and 1/6 = -60/6 and 1/6 = -61/6

(-7/3) - (-61/6)

= (-14/6) + (61/6)

= 47/6

= 7 and 5/6.

Hope this helps!

Answer:

58,330.5

Step-by-step explanation:

To get the mean of something, you add all the numbers then divide it by the number of things added. I added them all, then divided by 4 to get 58,330.5

Hope this helps GL on the rest of your Khan Academy! :)

Answer:

The correct answer is 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

505 × 68 = 34340

Answer:

34340

Step-by-step explanation:

Plz mark me brainliest!

Answer:

69, nice

Step-by-step explanation:

118-49=69

Answer:

i think its 69, but i think im wrong

Step-by-step explanation:

Answer:

x=3, y=-1

Step-by-step explanation:

We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation

2x-6y=12

We substitute 4y+7 in place of x

2(4y+7)-6y=12

Now we only have one variable to work on, distribute the 2

8y+14-6y=12

Combine similar terms, 8y-6y=2y

2y+14=12

Subtract 14 from both sides

2y=-2

y=-1

Now we plug in -1 for y in the first equation to find x

x=4(-1)+7

x=-4+7

x=3

The required solution of the given system of equations are x = 3 and y = -1.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The given system of equations is below as:

x = 4y + 7      ....(i)

2x - 6y = 12   ....(ii)

To solve the equations, use the substitution method.

Substitute the value of equation x = 4y+7 in (ii), and solve for y

2(4y + 7) - 6y = 12

8y + 14 - 6y = 12

8y - 6y = 2y

2y + 14 = 12

Subtract 14 from both sides of the equation

2y = -2

y = -1

Substitute the value of y = -1 in (i), and solve for x

x = 4(-1) + 7

x = -4 + 7

x = 3

Thus, the required solution of the given system of equations are x = 3 and y = -1.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

Using the formula for calculating heat energy H = mcΔT

m = mass of the aluminum (in g/kg)

c = specific heat capacity of aluminum

ΔT = change in temperature = T - Ti (in °C)

T is the final temperature

Ti is the initial temperature

Given m = 100.0g,  c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?

Substituting the given values into the formula;

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

The final temperature of the metal is 31.81°C

Answer:

31.81c

Step-by-step explanation:

1100 = 100*0.931096 (T - 20)

1100 = 93.1096T - 1862.192

93.1096 T = 1100+1862.192

93.1096 T  = 2962.192

T = 2962.192/93.1096

T = 31.81°C

The answer is 9.8 m/s2

Answer:

B.  9.8 m/s^2

Step-by-step explanation:

I got it correct on edg2020

Answer: 6,800,000 people

Step-by-step explanation:

We are looking for the number of people, not the percentage of wealth that has been made up by the people.

2% of the people are the richest in the United States, and there are 340,000,000 people in total in the United States.

2% = 0.02

340,000,000 * 0.02 = 6,800,000

I hope this was helpful! :)

Answer:

16 degrees

Step-by-step explanation:

74 + 90 = 164

180-164 = 16

Answer:

x = 3t/b

Step-by-step explanation:

Step 1: Multiply both sides by 3

t = bx/3

3t = bx

Step 2: Divide both sides by b

3t/b = x

Answer:

Step-by-step explanation:

Circumference of a circle is 2πr

where r is the radius

radius = 5

Circumference of circle P is

2π × 5

Hope this helps you

Answer:

(-1,3)

Step-by-step explanation:

we need to replace the values x and y for every point and see if the point satisfies all the inequations.

Point (-2,3):

x - y ≥ -4

-2 - 3 ≥ -4

-5 ≥ -4

Then, -5 is not greater than -4, so that point is not a solution.

Point (-1,3):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

-1 - 3 ≥ 4                     2(-1) - 3 ≤ 5             2(3) + (-1) > 1

-4 ≥ -4                        -5 ≤ 5                            5 > 1

Then, (-1,3) is a solution

Point (0,0):

x - y ≥ 4                      2x - y ≤ 5                2y + x > 1

0 - 0 ≥ 4                      2(0) - 0 ≤ 5             2(0) + (0) > 1

0 ≥ -4                           0 ≤ 5                            0 > 1

Then, 0 is not greater than 1, so that point is not a solution.

Point (2,-2):

x - y ≥ 4                      2x - y ≤ 5              

2 - (-2) ≥ 4                  2(2) - (-2) ≤ 5          

4 ≥ -4                           6 ≤ 5                    

Then, 5 is not greater than 6, so that point is not a solution.

Answer:

area=HbB/2

hope you understand

Answer:

The system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]

Step-by-step explanation:

Let the amount of fruits be x pounds

Let the amount of vegetables be y pounds

We are given that There are at most 8 pounds of fruits and vegetables in the salad.

This means that there are less than or equal to 8 pounds of fruits and vegetables in the salad.

So,[tex]x+y \leq 8[/tex]

Hence the system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]

Answer: A) y is less than or equal to 5

Step-by-step explanation:

This graph portrays a ray that starts at five and moves down forever.  It never stops decreasing, so there is no limit to how low it can go.  It also never goes above five, thus the <5

Answer:

A. y (is less than or equal to 5)

Step-by-step explanation:

The point starts at y-5 and there is a ray going downwards. the y value will never be greater than 5 if the line is going down.

Answer:

144π or 452.4

Step-by-step explanation:

Volume of a Sphere Formula: V = 4/3πr³

Step 1: Plug in 6 for r

V = 4/3π(6)³

V = 288π

Step 2: Divide by 2

V = 288π/2

V = 144π

Answer:

D is the answer

Step-by-step explanation:

because it has high probability of success 70 %

so

Answer:

Its a dilation, either a big dilation or  small dilation, a b c is the pre image and a"b"c" is the image :O

Step-by-step explanation:

Answer:

[tex]445[/tex]

Step-by-step explanation:

[tex]\text{Profit}=\text{Price}-\text{Cost}\\\text{Profit}=2.75-50=2.25\\\text{In order to make back the starting amount we need to sell n lots of widgets.}\\2.25n\geq 1000\\n\geq \frac{1000}{2.25}\\n\geq 444.444444\\\text{You can't sell a fraction of products, so you need to round it up to the nearest number.}\\n=445[/tex]

Answer:

12 widgets

Step-by-step explanation:

Answer:

x+4/5x

Step-by-step explanation:

x is increased by 80% 0f it self

80%of x= 4/5x

... x+4/5x

Answer: 3π

I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.

Step-by-step explanation:

To convert from degrees to radians, you multiply by π/180.

[tex]540*\frac{\pi }{180} =3\pi[/tex]

Answer:

First drop down: 11 by 20

Second drop down: 110

Third drop down: 110

The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)

The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,

Thus the new coordinates of the rectangle will be:

A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,

Learn more about parallelograms here:

https://brainly.com/question/29147156

#SPJ3

Complete question:

Answer:

(8, -7)

Step-by-step explanation:

QR, R= (-2, -1)

M= (3, -4)

Q= ?

--------

Q= (8, -7)

Answer:

1430p + 2200 = -4001

Step-by-step explanation:

Answer:

z =15cm and

y=9.0cm

Step-by-step explanation:

Use sine rule

12/ sin53 = z / sin 90

Z = 12 x sin 90 / sin 53

Z = 15cm

To find y the angle opposite to y will be 180-(90+53)=37º

So

15/sin 90= y/sin37

y= 15 x sin37 /sin 90

y = 9.0cm