A polynomial expression is shown below. (mx + 8) (2x − 4)
The expression is simplified to: −6x^2 +28x − 32
What is the value of m?
A. -4
B. -3
C. 3
D. 4
Fill in the table, then graph f(x)=-2x-4
look at the picture below// 50 points // please help:((
A parabola is the locus of points equidistant from the focus and directrix. This means the distance from the green point is the same to the focus as it is to the directrix. The appropriate choice is ...
... B. 7
Hi there!
I believe your answer would be B. 7. I say this because the focus is the same distance away from the green point as the directrix is away from the point.
Hope this helps!
- Chris
someone please show me how to find B, thanks.
Explain how to find the number of grams of fat in 2.5 cups of corn if there are 7.87 grams of fat in 1 cup of corn.
The number of grams of fat in 2.5 cups of corn is 19.7.
To find the number of grams of fat in 2.5 cups of corn, we can use the following steps:
Multiply the number of cups of corn by the number of grams of fat per cup:
2.5 cups * 7.87 grams/cup = 19.675 grams
Round the answer to the nearest tenth:
19.675 grams = 19.7 grams
Therefore, there are 19.7 grams of fat in 2.5 cups of corn.
Here are some additional things to consider:
The number of grams of fat in corn may vary depending on the variety of corn and the way it is cooked.
The amount of fat in corn is also affected by the amount of oil that is used when cooking the corn.
If you are concerned about the amount of fat in corn, you can choose to cook it without oil or to use a cooking spray instead of oil.
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Daniel puts $80,000 in an account that earns .6% interest compounded annually how much interest does he earn after 15 years
Daniel can earn $7510 interest he get after 15 years of investment.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, principal = $80,000
Time = 15 years
Rate of Interest = 0.6% compounded annually
We know that,
[tex]A = P(1+i)^n[/tex]
[tex]A = 80000(1 + 0.006)^{15}[/tex]
[tex]A = 80000 X 1.006^{15}[/tex]
A = 80000 X 1.094
A = 87,510.41
Interest = Amount - Principal
= 87510 - 80000
= $ 7,510
Thus, Daniel can earn $7510 interest he get after 15 years of investment.
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Which statement is true regarding the functions on the graph?
PLEASE HELP AND SHOW ALL WORK
7.04
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.
(4 points each.)
1. 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = quantity four times quantity four n plus one times quantity eight n plus seven divided all divided by six
2. 12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by two
For the given statement Pn, write the statements P1, Pk, and Pk+1.
(2 points)
2 + 4 + 6 + . . . + 2n = n(n+1)
Explanation of mathematical induction proof for two statements and demonstration of P1, Pk, and Pk+1 for another equation.
Mathematical Induction Proof for Statement 1:
Basis Step (P1): Substitute n = 1 into the given expression and prove it true.Inductive Step (Pk → Pk+1): Assume Pk is true and prove Pk+1 using Pk.General Form of the Statement: Use the formula provided to express the statement for all positive integers n.Mathematical Induction Proof for Statement 2:
Repeat the above steps for the second statement with the provided formula.P1, Pk, and Pk+1 for 2 + 4 + 6 + ... + 2n = n(n+1): P1 is true, assume Pk is true, then prove Pk+1 using Pk.
Two boys can paint a fence in 5 hours. How many hours will it take 3 boys working at the same rate to paint the fence?
11) Carlos wants to mix granola and cranberries together to make trail mix. Granola costs $3 per pound and cranberries cost $5.50 per pound. Carlos is willing to spend $29 and wants to make 8 pounds of trail mix. Which system of equations could Carlos use to figure out how many pounds of granola (g) and cranberries (c) she should buy?
Answer:
3g+5.5c=29
g+c=8
Find three consecutive integers such that the sum of the first and twice the second is 8080 minus three times the third.
Ginger earns $18,500 annually and has 22% of her gross earnings
withheld. What is the net amount of her paycheck each pay period if
she is paid biweekly?
a. $156
b. $555
c. $601.25
d. $169.58
WHOEVER ANSWERS FIRST GETS BRAINIEST
When the factors of a trinomial are (x - p) and (x - q) then the coefficient of the x-term in the trinomial is:
A. The difference of -p and -q
B. The product of -p and -q
C. The sum of -p and -q
D. The quotient of -p and -q
The coefficient of the x-term in the trinomial is C. The sum of -p and -q, which is -p - q. therefore ,option C. The sum of -p and -q, which is -p - q is correct.
When the factors of a trinomial are (x - p) and (x - q), you can find the coefficient of the x-term in the trinomial by multiplying these factors together and paying attention to the x-term.
The product of (x - p) and (x - q) is:
(x - p)(x - q) = x^2 - qx - px + pq
Now, notice that the coefficient of the x-term is the sum of the terms that contain 'x,' which are -qx and -px:
Coefficient of the x-term = -qx - px
This can be factored as:
Coefficient of the x-term = x*(-q - p)
So, the coefficient of the x-term in the trinomial is:
C. The sum of -p and -q, which is -p - q
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Given the following triangles, what additional information is required in order to know that the triangles are congruent because of the ASA congruence criteria?
Answer: < DCQ ≅ <DCE.
Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.
In the shown composite figure we can see:
<CDQ ≅ < CDE : Given
CD are common sides of both triangles
Therefore, by reflexive property
CD = CD
We need to apply ASA congruence criteria.
That is Angle Side Angle congruence criteria.
We already got One angle is congruent and one side on both triangles.
We just need one-one more angles in both triangles those would be congruent.
Therefore,
We could choose < DCQ ≅ <DCE.Answer:
<DCQ <DCEStep-by-step explanation:
ODYSSEYWhat is the value of n?
Enter your answer in the box.
n =
cm
Answer:
8 is the answer you are looking for
Step-by-step explanation: not needed
Which regular polygon will most resemble a circle?
square
32-gon
24-gon
dodecagon
Answer:
it is a 32-gon
Step-by-step explanation:
What is this number? +1.25 E -19
Final answer:
The notation '+1.25 E -19' represents the number in scientific notation, equivalent to 1.25 × 10^-19.
Explanation:
The notation '+1.25 E -19' is likely intended to be represented the number 1.25 × 10-19, which is an example of scientific notation.
The Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in the decimal form. In this context, 'E' stands for exponent, indicating that the number should be multiplied by 10 and raised to the power of -19.
Therefore, +1.25 E -19 means the number is positive and equals 0.000000000000000000125.
Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £71.10.
They share the tips in the ratio 2:3:4.
How much more does Colin get over Paul?
A chemical engineer has tested 56 water samples. These samples make up 25% of the total number of samples that need testing.
??
Select from the drop-down menu to correctly identify the total number of water samples that need testing.
??
There are a total of water samples to be tested. choices a. 1.4 b. 14 c. 168 d. 224
Geometry Page 420. Can someone please help me?
I need to pass with a good grade.
find the amount of the discount on a 140 bicycle that's is on sale for 30% off
use similar triangles EFG and IHG to find the missing distance D.
A baker is making dough for bread.the number of cups of flour he uses is proportional to the number of loaves he makes. The baker uses 18 3/4 cups of flour to make 5 loaves if bread. Which of the following correctly represents this proportion? Select all that apply.
really easy math problem 5pts!!!
x varies inversely as v, and x = 48 when v = 8. Find x when v = 64.
Question 17 options:
x = 8
x = 6
x = 64
x = 48
Answer: the correct option is (B) x = 6.
Step-by-step explanation: Given that x varies inversely as v and x = 48 when v = 8.
We are to find the value of x when v = 64.
Since x varies inversely as v, so we have
[tex]x\propto\dfrac{1}{v}\\\\\\\Rightarrow x=k\dfrac{1}{v}~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}][/tex]
When x = 48 and v = 8, then, we get
[tex]48=\dfrac{k}{8}\\\\\Rightarrow k=48\times8\\\\\Rightarrow k=384.[/tex]
So,
[tex]x=\dfrac{384}{v}~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Therefore, when v = 64, then from equation (i), we get
[tex]x=\dfrac{384}{64}=6.[/tex]
Thus, the required value of x is 6.
Option (B) is CORRECT.
NEED HELP ASAP! Please show work! Thanks!
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Factor by grouping 5x^2 -40x + 3x +24
Find the area. a trapezoid with the top part 10.5 the inside side is 7 and the bottom is 34.5 a. 241.5 mm2 c. 157.5 mm2 b. 159.5 mm2 d. 315 mm2
Angle f and v are complementary. if the measure of angle f is equal to 2x-5 and the measure of angle v is equal to 3x+15, which is true?
Factor.
16x² + 40x + 25
A) (4x - 5)(4x + 5)
B) (4x - 5)(4x - 5)
C) (4x + 5)(4x + 5)
D) (5x + 4)(5x - 4)