If –2 and –5 are the roots of the equation ax + bx + 20 = 0, find the values of a and b.​

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Finding the slope of f(x)

Given the table of the function f(x)

x        f(x)

-1        -5

0        -1

1          3

Finding the slope using the formula

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-1,\:-5\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-5\right)}{0-\left(-1\right)}[/tex]

[tex]m=4[/tex]

Thus, the slope of the function f(x) = 4

Finding the slope of g(x)

We know the slope-intercept form of a linear function is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given the function

[tex]g(x) = 2x-7[/tex]

comparing with the slope-intercept form

y = mx+b

The slope of the function g(x) = 2

Thus, we conclude that:

Hence, the slope of f(x) is greater.

Part b)

Finding the y-intercept form of f(x)

We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.

From the table,

It is clear at x = 0, y = -1

Hence, the y-intercept of the function f(x) = -1

Finding the y-intercept form of g(x)

Given the function

[tex]g(x) = 2x - 7[/tex]

comparing with the slope-intercept form (y = mx+b)

[tex]y = mx+b[/tex]    

where b is the y-intercept

Hence, the y-intercept of g(x) = b = -7

Thus, we conclude that:

Hence, the y-intercept of f(x) is greater.

Answer:659

Step-by-step explanation:

Answer:

She earned 300 dollars by selling 100 headbands.

Answer:

1) x=10   2) x= -7.25

Step-by-step explanation:

Im not sure

Answer:

The answer is (4,1). Substitute the x and y values into the system and you should have the answer.

Answer:

option one

Step-by-step explanation:

Answer:

there aren't any options. but quadrant four would have a (x,-y) set up. positive x-values, but negative y-values.

Answer:

-10/3 or -3 and 1/3

Step-by-step explanation:

you can do y1-y2 over x1-x2 of two points

or you can count the rise oiver run from (5,-5) to (2,5) which is 10/3

but its negative slope cause your going back 3 to the left

Answer:

40

Step-by-step explanation:

Just use a calculator. I didn´t need to. My brother helped me a little

Answer:

B, C, D, F, H, J, K

Step-by-step explanation:

all those that I put are right I promise

hope this helped

Answer:

ABC = DEF

CBA = FED

B = E

C = F

A = D

AB = ED (actually, AB = DE ;w;)

AC = DF

CB = FE

Step-by-step explanation:

Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

Answer:

x= -9

Step-by-step explanation:

-8-3x+8=27

-8+8=0

-3x=27

divide by -3 both sides

27÷-3= -9

x= -9

Answer:

39 and 86.

Step-by-step explanation:

39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.

Answer:

the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

Step-by-step explanation:

In the given question we have to choose a president, vice

president, and secretary.

Permutations are used when order is important so, as in the given question order is required. We would use permutations

The formula used is: [tex]^nP_r=\frac{n!}{(n-r)!}[/tex] where:

n=total number of objects

r=number of objects selected

In our case: n=15, r=3

Putting values and finding the answer:

[tex]^nP_r\\^{15}P_3=\frac{15!}{(15-3)!} =2730 \ ways[/tex]

So, the expression is: [tex]^{15}P_3=\frac{15!}{(15-3)!}[/tex]

and 2730 different ways are possible.

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

Answer:

|-10 - (-8)|

Step-by-step explanation:

I hope this helps!

Answer:

Answer:

Step-by-step explanation:

221/17= 13 miles per hour over

30 limit + 13 over = 43mph

Answer:

43

Step-by-step explanation:

Answer:

Goran's gas tank is 1/6 full. After he buys 14 gallons of gas, it is 3/4 full. How many gallons can Goran's tank hold?"

Let x = gallons to fill the tank

14

multiply by 12

12*3%2F4x = 12*1%2F6x + 12(14)

3(3x) = 2x + 168

9x - 2x = 168

7x = 168

x = 168/7

x = 24 gallons

:

see if that is true

1%2F6*24 + 14 = 18 gallons which is 18/24 = 3/4 of the tank

Answer:

95.40

Step-by-step explanation:

first u do 10% and that is 47.7

then 20% is 47.7 times 2 and that is 95.40

Answer:

[tex]\huge\boxed{\sf \$ \ 95.4}[/tex]

Step-by-step explanation:

Commission = 20 % of $477

[tex]\sf = \frac{20}{100} * \$ \ 477\\\\= 0.2 * \$ \ 477\\\\= \$ \ 95.4\\\\He \ got \ a \ commission \ of \ \$ \ 95.4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

7 4/11

Step-by-step explanation:

this is the answer

Answer:

7  4/11

Step-by-step explanation:

81/11= 7  4/11

Answer:

16.27778 m/s

97666.6667 cm/min

Step-by-step explanation:

a. To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18.

m/s = (58.6 * 5) /18 = 16.27778 m/s

b. 1 Kilometer/Hour = 1666.66666666667 Centimeter/Minute

so 58.6 * 1666.666 =97666.6667 cm/min

Answer:

35

Step-by-step explanation:

Answer:

No!!

Step-by-step explanation:

For every 1 pound it costs $2⁵⁰

For every 2 pounds it costs $5⁰⁰

For every 3 pounds it costs $7⁵⁰

and so on going by 2.50 each pound.

Answer:-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Please give brainliest!

Answer:

25561485

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

mean means average...

12+16+23= 51

51/3= 17

Thats insane tho!

Whats ur aops class that you take?

Answer:

(-3,-8)

Step-by-step explanation:

I would explain but that would take too much time.

Answer:

3-8

Step-by-step explanation:

Answer:

B.x= -4 and E. x= 10 are the answers

Answer: he could work 7 hours tutoring and 6 hours clearing tables

Step-by-step explanation:

The system of inequalities can be used to find the number of hours Logan

can spend on each job in a week.

Response:

The system of inequalities are;

A possible solution of the system of inequality obtained from the graph is the point (5, 8)

The amount Logan makes per hour tutoring = $18 per hour

The amount he makes clearing tables = $10 per hour

Number of hours Logan can work in a week = 13

Amount he must earn in a week = At least $170

Number of hours he spends tutoring = x

Number of hours he spends clearing tables = y

Based on the given information, we have;

Please find attached the graph of the above inequality showing the feasible region.

A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;

Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.

Learn more about inequalities here:

https://brainly.com/question/8284035

Answer:

y= 2/3x + 1.25

Step-by-step explanation:

I can't see the exact number but it's probably 1.25. Sorry if it's wrong :)