I also want to know if the table is correct

Step-by-step explanation:

To solve the equation, factor x

2

+x−56 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=1

ab=−56

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −56.

−1,56

−2,28

−4,14

−7,8

Calculate the sum for each pair

−1+56=55

−2+28=26

−4+14=10

−7+8=1

The solution is the pair that gives sum 1.

a=−7

b=8

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−7)(x+8)

To find equation solutions, solve x−7=0 and x+8=0.

x=7

x=−8

Answer:

[tex]131=6w[/tex]

Step-by-step explanation:

[tex]l=length\\\\w=width\\\\\Longrightarrow l=2w\\\\\Rightarrow Perimeter=l+l+w+w\\\\P=2l+2w\\\\P=2(2w)+2w\\\\P=4w+2w\\\\P=6w\\\\P=131\\\\131=6w\\\\w=\frac{131}{6}\\\\w=21.8\overline{3}\\\\l=43.\overline{6}[/tex]

Answer:

A) l = 2 * w

B) 131 = 2l + 2w

B) 2l = 131 -2w

B) l = 65.5 -w

Substituting this into A)

65.5 -w = 2w

3w = 65.5

width = 21.8333333333

length = 43.6666666666

Double - Check

131 = 2 * 21.833333333 + 2 * 43.6666666666

131  = 43.6666666  + 87.33333333

131 = 131

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

i hope this is right, I did the math

Answer:

yes

Step-by-step explanation:

(45/84) /3 = 15/28

Answer:

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

Step-by-step explanation:

Answer:

no solution.

Step-by-step explanation:

Lines are parallel ,so they do not cut at any point.Hence no solution.

Answer:

Beatrice traveled the last 220 miles of the trip at 55 miles per hour. The entire trip covered 430 miles and took 7 hours. What was her rate for the first 210 mile?

Let Beatrice's average speed for the first 210 miles = S

220/55 + 210/S

Solve for S:

4 + 210/S = 7

Bring 4 + 210/S together using the common denominator S:

(2 (2 S + 105))/S = 7

Multiply both sides by S:

2 (2 S + 105) = 7 S

Expand out terms of the left hand side:

4 S + 210 = 7 S

Subtract 7 S + 210 from both sides:

-3 S = -210

Divide both sides by -3:

Answer: |S = 70 - miles per hour, her speed for the first 210 mStep-by-step explanation:

Answer:

$22.08

Step-by-step explanation:

As long as the night power is not greater than 50%, then the rate is $8.71365.

The day power plan is $13.3672, according to the narration the sum of both variable is required, which is $22.08085.

Answer:

The movie ends at 6:20.

Step-by-step explanation:

4:30

+30

=5:00

+20

=5:20

+1:00

=6:20

Answer:

See below

Step-by-step explanation:

Given that

We can simply take t as 1,2, 3 and so on and put it in the above equation. After finding out C, we can plot the points accordingly.

OR

We can simply use a graphing calculator.

See the attached file!

Answer:

2:1

Step-by-step explanation:

use k:1 as ratio, and then apply the section formula.

let's use the x co-ordinate pf the point in between the other two which is=(3)

section formula says,

x=mx2 + nx1/(m+n)

m=k , n=1

substitute all the values,

3=5k+(-1)/(k+1)

take k+1 to left side,

3(k+1)=5k-1

3k+3=5k-1

5k-3k=3+1

2k=4

(÷2)

k=2

hence, the ratio = 2:1

Answer:

Step-by-step explanation:

You can tell how to isolate a variable by listing the operations done to it, as prescribed by the order of operations. Then, you work backwards up the list performing inverse operations as you go.

__

Additional comment

Where mixed powers of the variable are involved, as in polynomials of degree higher than 1, there is generally not an inverse operation you can use to isolate the variable. Rather, special forms are used that facilitate isolating the variable. The variable in a quadratic, for example, can be isolated by "completing the square." Similar procedures are available for solving cubic and quartic equations, though those tend to be somewhat more complicated.

There are many kinds of equations in which there are no methods for isolating the variable. In general, any mix of polynomial terms and logarithmic, exponential, or trigonometric function terms are in that category: x +sin(x) -3 = 0, for example. (A graphing calculator shows the solution is near x=2.18, where the angle is in radians.)

Answer:

Less Than

Step-by-step explanation:

 Given;

The equation of one exponential function is

[tex]g(x)=-9(0.1)^x[/tex]

Solve for (y-intercept of g(x))

⇒ [tex]g(x) = -9(0.1)^x[/tex]

⇒ [tex]y = -9(0.1)^0[/tex]

⇒ [tex]y = -9[/tex]

Note;

The y-intercept is when x = 0

y-intercept of h(x) = 6

Hence, knowing that  -9 < 6.

Thus, y-intercept of g(x) is less than the y-intercept of h(x).

~Learn with lenvy~

Answer:

less than

Step-by-step explanation:

The y-intercept is when x = 0

Function g(x)

[tex]g(x)=-9(0.1)^x[/tex]

Input x = 0 into the equation and solve:

[tex]\implies g(0)=-9(0.1)^0=-9[/tex]

Therefore, the y-intercept of g(x) is (0, -9)

Function h(x)

From inspection of the table, the y-intercept of h(x) is (0, 6)

As -9 < 6, the y-coordinate of the y-intercept of g(x) is less than the y-coordinate of the y-intercept of h(x)

Answer:

Step-by-step explanation:

My guess is that 10/36 students weren't playing sports.

Answer: (1, 3)

Step-by-step explanation:

Answer:

6x+4y+2x-4y = 18+(-10)

8x = 8

x = 1

6x+4y = 18

6*1+4y = 18

4y = 18-6

4y = 12

4y/4=12/4

y= 3

Answer:

They are parallel.

hope i helped! (put graph down below)

Step-by-step explanation:

Answer:Top Left

Step-by-step explanation:

Graph A represents the given inequality 3y−5x>−6. Option A is correct.

From the graphs, the graph is to choose which best describes the inequality 3y−5x>−6

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Given inequality,

3y−5x>−6.

Since the inequality contains only greater than sign, so options B and C will be omitted because both the graphs show boundary conditions that are wrong for the given inequality.
Now, graph A and D show now boundary condition and shaded portions

3y−5x>−6

Since the inequality is shown greater than -6 so the inequality will start from a negative y toward the positive y i.e.

3y−5x > −6

3y > 5x - 6
y > (5x - 6)/3

The above expression shows the value of y lies above the line y =5x/3-2 which implies graph A is correct.

Thus, Graph A represents the given inequality 3y−5x>−6. Option A is correct.

Learn more about inequality here:

http://brainly.com/question/14098842

#SPJ6

Answer:

Step-by-step explanation:

(5,6)

Answer:

156 cm^2

Step-by-step explanation:

Answer:

.99m+49.99

Step-by-step explanation:

The slope is the value per mile, being .99. The constant is the value that remains the same, which in this situation is represented by the downpayment, being 49.99.

Answer:

7.5

Step-by-step explanation:

2 / 2 = 0  &  15 / 2 = 7.5

x = 7.5

Answer:

Step-by-step explanation:

Answer:

  10

Step-by-step explanation:

Two of the three digits of the 3-digit number have been specified. The remaining digit may take on any of 10 values. There are 10 such numbers.

  305, 315, 325, 335, 345

  355, 365, 375, 385, 395

Answer:

I'm pretty sure you are supposed to add the exponents.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Do 300,000/3 and count 0 to find answer

Answer: $50 + $2.49x = $67.43

Step-by-step explanation:

Let the case of water bought be represented by x.

We are informed that Sam's Club has a special that charges $2.49 per case of water and that Vinny wants to pay that price, but needs to purchase a membership first, which costs $50 and that Vinny eventually spent $67.43.

The equation that represents the number of cases of water that Vinny bought at Sam's club will be:

$50 + $2.49x = $67.43

Answer:

32.3 feet.

Step-by-step explanation:

I attached a picture to show u the work!! sorry I spelled pythagorean theorem

Answer:

location after 2 minutes dive from the surface = -440 feet

Step-by-step explanation:

We are told that he dives 1,760 feet in 8 minutes.

Now, we are told that he dives down at a constant rate.

Thus means that the distance he dives per minute can be gotten.

Distance dived per minute = 1760/8 = 220 feet/minutes

Now, we want to find the location of the penguin in relation to the surface 2 minutes after beginning his dive.

Thus;

Distance after 2 minutes = 220 feet/minutes × 2 minutes = 440 feet

Now, because the dive is below the surface, the location will be negative.

Thus, location after 2 minutes dive from the surface = -440 feet

Answer:

Step-by-step explanation:

3x = 105

x = 35

3(35) = 105