See attachment for math work and answer.
a) The expression will be zero when x = -4 or 8
b) The trinomial equivalent of the expression is x² - 4x - 32
c) The trinomial equals to zero when x = 8
The given expression is (x - 8)(x + 4)
a) For what value of x will the expression be equal to zero
(x - 8)(x + 4) = 0
This can be split into:
x - 8 = 0
That is, x = 8
x + 4 = 0
That is, x = -4
The expression (x - 8)(x + 4) equals to zero when x = -4 or x = 8
b) Write this product as an equivalent trinomial.
A trinomial is a polynomial expression with three terms
Expand (x - 8)(x + 4)
x² + 4x - 8x - 32
x² - 4x - 32
c) Show that this trinomial is also equal to zero at the larger value of x from part (a)
The larger value of x from part (a) is 8
Substitute x = 8 into x² - 4x - 32
8² - 4(8) - 32
= 64 - 32 - 32
= 0
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Deal 1: $16.05 for 5 Caramel apples Deal 2: $19.14 for 6 caramel
I am really behind and I REALLY need help... I am giving every point I have for this...
Answer:
Get ahead then
Step-by-step explanation:
Step-by-step explanation:
Shorts cost $16
T-shirts cost $10
So:
16x + 10y ≤ 100
or
y ≤ -1.6x + 10
Then graph y = -1.6x + 10 and x = 2
Part b:
Using the graph, we can infer that there are two possible solutions:
A. 3 pairs of shorts and 4 t-shirts
B. 4 pairs of shorts and 2 t-shirts
6a. X = number of apples, Y = number of oranges
So:
x + y ≤ 20
0.24x + 0.8y ≤ 12
x ≤ 20 - y
0.24(20 - y) + 0.8 ≤ 12
= 4.8 - 0.24y + 0.8y ≤ 12
= 0.56y ≤ 7.2
y = 12.9 (You can use twelve because there can't be a fraction of an orange.)
x = 7.14 (again, because of fractions, round to 7.)
Therefore, she got 12 oranges and 7 apples.
Part 2:
Question 1:
Both equations are unbounded.
Question 2:
Both equations are unbounded.
Question 3:
Both equations are unbounded.
Question 4:
Both equations are unbounded.
Give me a moment to add question four's graph.
18-4y=42 help, please?
18-4y=42
4y = 18-42
4y=-24
y = - 6
Which statement about the ordered pairs (2, −9) and (3, −6) is true for the equation 5x−y3=13?
Neither ordered pair is a solution.
(3, −6) is a solution to the equation.
Both ordered pairs are solutions.
(2, −9) is a solution to the equation.
ABEGGG HELP ME OO , WITH THIS QUESTION , A.S.A.P!!!
(2, −9) is a solution to the equation.
i took the quiz lol
At 8:00, the temperature was -6°. Three hours later, the temperature dropped 13°. What is the temperature at 11:00?
Answer:
-19 degrees
Step-by-step explanation:
13+6=19
you would need to add the negative since it said dropped in temperature and the temperature was already negative.
I need helpppp?!!!
What is the slope of the line??
Please give right answer
Answer: -1/2
Step-by-step explanation:
Slope=rise/run
Up 1 and to the left 2 which makes it a negative
Write four different equations that have –3 as the solution
1 + -4
2 + -5
3 + -6
4 + -7
Answer:
5 + -8
6 + -9
7 + -10
8 + -11
Step-by-step explanation:
what is 64x64? and I know if you use a calculator =)
Answer:
4096
Step-by-step explanation:
even number less than 12
Answer:
2,4,6,8,10
Step-by-step explanation:
they are even numbers
Answer: 2, 4, 6, 8, 10
Step-by-step explanation:
any of those are even numbers that are less than 12
If 4 pounds of bologna cost $5.04, how much will it cost
per pound?
Answer:
$1.26
Step-by-step explanation:
To get the cost of one pound you need to divide the cost of 4 pounds by 4.
5.04/4=1.26
$1.26 per pound.
Drag a description to match each equation.
Pleaseee I am desperate!
Answer:
y is 4 times x
y is 4 more than x
Step-by-step explanation:
sorry if im wrong
How do you make a fraction like this: 72 3/16 into a whole number?
What you do is you take the denominator and you divide it into the numerator.
I NEED HELP PLEASE!!!!!!!!!! O///O
How can you look at the equation of two lines and determine if they will be parallel?
Answer:
If the slope is the same but the intercept is different
i.e.
y=2x+1
y=2x+2
Step-by-step explanation:
If the slope is the same the lines are parallel, but if the y-intercept is also the same the lines have infinite solutions.
-8x + 3y = 18
-7x – 2y= 25
(-3,-2)
Answer: what is the question though
Step-by-step explanation:
Please answer this :) have a good day
Answer:
Equation: [tex]\\[/tex]m + $37.07 = 55.29Solve: m = $18.22Solution: Brenda recieved $18.22 for her birthday.Step-by-step explanation:
m + $37.07 = $55.29
$55.29 - $37.07 = $18.22
Hope this helps and pls do mark me brainliest if you can:)
I need help!!!!!! I only have 5 minutes!!!
use two unit multipliers to convert:
A. 90 yards to inches
Answer:
The yards and the feet will "cancel" out, and you will be left with the answer in inches.
I hope this helps!
Step-by-step explanation:
(4+3c^5)(4-3c^5) combine like terms
Answer:
16 − 9 c ^10
Step-by-step explanation:
Simplify the expression.
Answer:
-9c^10+16
Step-by-step explanation:
(4+3c^5)(4-3c^5) multiply
(16 -12c^5+12c^5-9c^10) combine and rewrite
-9c^10+16
Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm, find the third sides
Answer:
[tex]\boxed{\pink{\sf Value \ of \ third \ side \ is \ 7cm . }}[/tex]
Step-by-step explanation:
According to Question , equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm . And we need to find the third side .
Let us take the third side be x.
By Question ,
[tex]\implies Perimeter_{\triangle}= x + 30 cm + 30cm \\\\\implies 67cm = 60cm + x \\\\\implies x = 67cm - 60cm \\\\\underline{\boxed{\red{\tt\implies x = 7cm. }}}[/tex]
Hence the value of third side is 7cm.
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si me gustaria ser tu amiga :)
Identify each part of the algebraic expression as the coefficient, constant, or variable.
1. 4x - 12
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
2. a + 3b
a is a(n) ___________________
3 is a(n) ___________________
b is a(n) __________________
3. 6y
6 is a(n) ___________________
y is a(n) ___________________
TRANSLATIONS
DIRECTIONS: Highlight and Translate, Then type the final translation.
1. Three less than “x” is equal to 13. ________________________
2. The product of 9 and “m” is 45. ________________________
3. A number divided by 6 is 18. ________________________
4. A number plus 17 is 25. ________________________
5. Seven times a number is 28. ________________________
6. A number divided by 7 is 9. ________________________
7. A number minus 12 is 20. ________________________
8. The quotient of “y” and 3 is 25. ________________________
9. One-fifth of “r” is 15. ________________________
10. Six less than 2 times “y” is 34. ________________________
11. Five more than “n” is equal to 9. ________________________
12. A number increased by 3 is 19. ________________________
13. The difference of “p” and 7 is 30. ________________________
14. Fifteen multiplied by “k” is 75. ___________________________
15. The sum of 3y and 5 is 47. ________________________
Answer:
1. coefficient,variable, constant
2. variable,coefficient,variable
3. coefficient, variable
Translations:
1. x-3=13
2. 9m=45
3. x/6=18
4. x+17=25
5. 7x=28
6. x/7=9
7. x-12=20
8. y/3=25
9. r/5=15
10. 2y-6=34
11. 5+n=9
12. x+3=19
13. p-7=30
14. 15k=75
15. 3y+5=47
Can someone help me with eatheR G AND H, I AND J, OR. K AND L plzzzz two of any of your choice :)
The distance required to stop a car varies
directly as the square of its speed. If 250
feet are required to stop a car traveling 60
miles per hour, how many feet are required to
stop a car traveling 96 miles per hour?
Answer:
400
Step-by-step explanation:
Joshua walked 14 feet down the hall of his house to get the door he continued in a straight line out the door and across the yard to the mailbox, a distance of 24 feet he came straight back across the yard 10 feet and stopped to pet his dog How far did joshua walk in total
Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the binomial probability distribution for X . Round to two decimal places
Answer:
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Step-by-step explanation:
Given that:
Total Number of cameras (n) = 8
Defective cameras = 4
X: number of defective cameras
For a binomial distribution :
P(x) = nCx * p^x * (1 - p)^(n - x)
Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5
If 2 samples are chosen at random :
Then, the binomial probability distribution will be :
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Patty ran 3 miles in 290 minutes,
Assume Patty maintains a constant
speed. How many minutes will it take
Patty to run 1 mile?
96.666..., or about 97 minutes/every mile.
HELP!! igzitzgiziztztizu
Answer:
57 miles in 1 hr
Step-by-step explanation:
171/3 = 57
The concentrates were pooled from the blood of about 1000 donors per lot. If the prevalence of HIV in donor blood in the early 1980s was 1 in 3,000, what was the probability that a hemophiliac would contract HIV from a single infusion of clotting factors?
Answer:
The required probability is "0.0003".
Step-by-step explanation:
Throughout the early 1980s, reconstructed coagulation factors concentrate extracted from individual blood was collected by hemophiliacs. The concentrate was obtained from either the blood of approximately 1000 donors every lot. The occurrence of hepatitis C throughout donated blood reached 1 in 3000 throughout the early 1980s.Therefore, the risk though from a single injection of clotting factors, a hemophiliac would contracted hepatitis C seems to be:
= [tex]\frac{1}{3000}[/tex]
= [tex]0.0003[/tex]
Find the total distance from Mercury to Earth. HELP!
Answer:
5.67*10^7
Step-by-step explanation:
Since the distance from mercury to venus is 30,700,000, and the distance from venus to earth is 26,000,000, we can simply add these together to find the distance from mercury to earth:
30,700,000
+26,000,000
__________
56,700,000
Now, to convert it to scientific form, just multiply 10^7 (which is the number of digits-1) and 5.67. Therefore, the answer is 5.67*10^7
Which of these is it ?..
Answer:
D) all of the above
Step-by-step explanation:
If a line bisects another line, that means the length of the lines are equal
The lines are perpendicular because angle APR is 90 degrees
If the lines are perpendicular, then angle RPB is 90 degrees