Question 25 of 25
Use the table to identify values of p and g that can be used to factor
x2 - - 4x - 12 as (x + p)(x + 9).
g
-6
р
2.
-2.
3
-3
6
p+q.
-4
4.
-1
1
-4
4
O
A. -2 and 6
B. -3 and 4
C. 2 and -6
D. 3 and -4
The required value of p and q for the factor of the expression x² - 4x - 12 is -6 and 2.
Correct option is (C).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
x² - 4x - 12.
To determine the factor, solve the expression,
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
Take (x - 6) common,
(x - 6)(x + 2)
According to the given condition, the factors are (x + p)(x + 1)
Compare the values,
p = -6 and q = 2
The values of p and q are -6 and 2.
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Gomez isn’t sure what to do. Should he put his $3000 into an account paying 6% for 10 years compounded annually or should he put into an account paying 10% for five years?
Answer:
If these are the only two options, the most profitable is the first option (6% and 10 years).
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,000
Number of periods (n)= 10 years or 5 years
Interest rate (i)= 6% or 10%
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
6% interest rate:
FV= 3,000*(1.06^10)
FV= $5,372.54
10% interest rate:
FV= 3,000*(1.1^5)
FV= $4,831.53
If these are the only two options, the most profitable is the first option (6% and 10 years).
The cereal box has a volume of 432 in if the base has dimensions of 2 in by 12 in what is the height of the box
Answer:
Height of the cereal box = 18 in.
Step-by-step explanation:
A cereal box is in the shape of a cuboid.
And volume of a cuboid is represented by the expression,
Volume = Length × Width × Height
It's given that volume of the box = 432 in³
Length of the base = 2 in.
Width of the base = 12 in
By substituting these values in the expression,
432 = 2 × 12 × h
h = [tex]\frac{432}{24}[/tex]
h = 18 in.
Therefore, height of the cereal box is 18 in.
1. A new book bag costs $45. If it is on sale for 25% off and a tax of 7%, how much would it
cost?
Answer:
I believe it would be $31.39
Step-by-step explanation:
Original Price - $45
Price With Sale And Tax $31.39
Hope that helps!
The price of a sweater was reduced from $20 to $12. By what percentate was the price of the sweater reduced?
Which value is equivalent to 5 + 4 × 2?
A) 11
B) 13
C) 18
D) 22
Answer:
C)18
Step-by-step explanation:
5+4=9 9x2=18
18 is your answer.
Answer:
b
Step-by-step explanation:
PLEASE HELP!! DUE SOON!!!
Find the surface area of the sphere (I can't upload the pic but I'll give the radius).
Radius 7 m
A. 56π m²
B. 784π m²
C. 392π m²
D. 196π m²
Answer:
D
Step-by-step explanation:
This is because the formula is 4×pi×r^2
So 4×pi×7^2
(7^2=49) now plug that in: 4×pi×49
Combine like terms: 4×49=196
Plug that into the equation: 196pi
6 m
2 m
6 m
2 m
2 m
6 m
Answer:
24 im pretty sure.
Step-by-step explanation:
Help me out it was hard
Please help ASAP
Extra 500 points and brainliest
Answer:
3
Step-by-step explanation:
Only answer that remotely gets close to the chart.
Answer:
Step-by-step explanation:
(3) only answer closest
A snow storm hit Sanford
with 7 inches of snow in 28
hours. What was the rate of
the snowfall in inches per
hour?
Answer:
4 inches per hour
Step-by-step explanation:
7 x 4 = 28
You are in your backyard with your pets. In one area, you count 108 legs. You count 41
animals. You have a combination of bunnies and chickens. How many of each type of animal do
you have?
Write a system of equations (make sure to define your variables first!), and then solve
this problem. Then, solve in a different way.
Answer:
Bunnies= 13 Chickens=28
Step-by-step explanation:
Let's put
x = bunnies------4 legs
y = chickens-----2 legs
x + y = 41----------------x= 41-y
4x+ 2y = 108
replace in 2nd equation
4(41 - y) + 2y = 108
164 - 4y + 2y = 108
2y = 56
y = 56/2= 28
x = 41 - 28= 13
Which of the following are solutions to the graph?
Select all that apply:
Question 12 options:
(-6, -4)
(-2, -2)
(-1, 0)
(2, 0)
(4, 1)
(2, 6)
The solutions are the points that belong to the line, these are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
Which of the points are solutions to the graph?Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.
Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.
Then, from the given points the ones that are on the graphed line are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
All these points are on the line, thus, are solutions.
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Please help me with my work I’ll give Brainlest
Answer:
I believe it's a^2 * b^2 = c^2
Step-by-step explanation:
a^2 * 9^2 = 15^2
hope this helps! :)
PLEASE SOMEONE HELP ME RN MATH
Answer:
Sure but what's the math problem?
Answer:
where is the pic??
What is the approximate circumference of the circle shown below?
A. 82 cm
B. 64 cm
C. 129 cm
D. 137 cm
Answer:
the answer to this is C. 129 cm
which of. the following events are dependent
A)tossing a coin and selcting a card from a deck
B) tossing a coin tossing a second coin
C) picking a marble out the bag replacing it, and picking another marble
D) picking a candy out a bag eating it and picking another candy
Answer:
i would say C picking a marble out the bag replacing it, and picking another marble
Step-by-step explanation:
HELP HELP HELP HELP
Answer:
24
Step-by-step explanation:
help me just
plz
hmmm
or let me die
how are 12+4y and 4(y+3) equivalent
Answer:
12 + 4y is the simplified version of 4(y+3). When you simplify you need to use the distributive property. So, 4 multiplied by y is 4y. 4 multiplied by 3 is 12. So the answer will be 12 + 4y. Hence, they are equivalent.
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
If the x-coordinate of our vertex is 3, who are the "downtown" neighbors (on his left)?
Answer:
Step-by-step explanation:
Based on the timeline, which of the following statements is true?
Answer:
Answer B.Step-by-step explanation:
If you check each answer, only B works since it is the only one that would place everything correctly on the timeline
The experimental probability that the bus will arrive after 8:19 is
Answer:
i wish i can help but good luck
Step-by-step explanation:
plz help
What are the x-intercepts of the parabola?
graph of parabola falling from the left, passing through 2 comma 3 to about 4 comma negative 1, and rising to the right, passing through 6 comma 3
(0, 3) and (0, 5)
(0, 4) and (0, 5)
(3, 0) and (5, 0)
(4, 0) and (5, 0)
Answer:
(3, 0) and (5, 0)
Step-by-step explanation:
Plz help Quadrilateral PQRS Is shown in the graph
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4
Answer:
QX = 5.7
Step-by-step explanation:
Here, we want to get QX
For a rectangle, the length of the parallel sides are equal
Thus,
SR will be 8 too
Since x is the midpoint of SR, we have it that RX is 4 too
The angle at each corner of the rectangle is 90 degrees each
Thus,
QRX is a right triangle
Mathematically, QX is the hypotenuse of this triangle as it is the side that faces the right angle
According to Pythagoras’ ; the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides
thus;
Qx^2 = 4^2 + 4^2
QX^2 = 32
QX = √(32)
QX = 5.7 units
What are the solutions to this equation?
7.
D
17
-1
There are no solutions.
Answer:
Whats the equation?
Step-by-step explanation:
If you attach a pic maybe I can help!
Si un empresario paga diariamente 50 a cada trabajador le faltaria 110 pero si les pagara 45 le sobraria 60 cuantos trabajadores tiene dicho empresario
Answer:
34 trabajadores.
Step-by-step explanation:
Supongamos que el empresario tiene N trabajadores, y tiene la cantidad de dinero D para pagarles cada día.
Si el empresario decide pagarle 50 a cada trabajador le faltan 110.
Esto se puede reescribir como:
50*N = D + 110
(50 por número de empleados es igual que el dinero que tiene más lo que le falta para pagar)
También sabemos que si pagara 45 a cada empleado, le sobraría 60.
Esto se puede reescribir como:
45*N = D - 60
Entonces tenemos dos ecuaciones:
50*N = D + 110
45*N = D - 60
Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, en este caso aislaré D en la segunda ecuación.
45*N + 60 = D
Ahora podemos reemplazar esto en la primer ecuación y resolver para N
50*N = (45*N + 60) + 110
50*N = 45*N + 170
50*N - 45*N = 170
5*N = 170
N = 170/5 = 34
El empresario tiene 34 trabajadores.
A local hamburger shop sold a combined total of 427 hamburgers and cheeseburgers on Thursday. There were 73 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:
250 hamburgers
Step-by-step explanation:
Explanation: Because IK
Can someone pls write just a few sentences about this I lol give brainliest and 20 points
Answer:
Step-by-step explanation:
Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism
Jordan earned $200 this month delivering newspapers. His mom said he must put 20% into his savings account. He wants to buy headphones that cost $ 99.95 and two shirts that cost \$17 each. He also has to pay 7% sales tax on his purchases . Jordan said, "No problem. I will put 20% into savings , buy the things I want, and still have about $10 left." Use estimation to determine if Jordan's calculation is reasonable. Show your work.
Answer:
Yes, his calculation is reasonable. He will have about $16.67 left.
Step-by-step explanation:
200 - (200 * .2) = $160 Subtract money for savings
99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 Add taxes
160 - 143.33 = $16.67 Subtract money for purchases from money left after savings