Answer:
-93
Step-by-step explanation:
Step one:
given the expressions
[tex]f(x) = -4x + 7\\\\g(x) = 2x^2 + 5x- 8[/tex]
we want (fog)(-3).
but (fog) is
[tex]f(x) = -4x + 7\\\\\ (fog)=-4(2x^2 + 5x -8) + 7\\\\ (fog)=-8x^2-20x+32+7[/tex]
Step two:
fog(-3)= put x= -3 in (fog)(-3)=-8x^2-20x+32+7
[tex](fog)(-3)=-8x^2-20x+32+7\\\\ (fog)(-3)=-8(-3)^2-20(-3)+32+7\\\\ (fog)(-3)=-8*9+60+32+7\\\\ (fog)(-3)=-72-60+32+7\\\\ (fog)(-3)=-93[/tex]
What’s is the difference of 9.37 and 1.6
Answer:
7.77
Step-by-step explanation:
9.37 - 1.60 = Difference
Difference = 7.77
write it as a single logarithm
Answer:
0
Step-by-step explanation:
log b (3-3)
log b (0)
−4(m+3)=24
What does m=
Answer: m= -9
Step-by-step explanation: First use distributive property, -4(m) is -4m and -4(3) is -12. Then you have -4m -12 =24. Then use 12 and add it to the other side of the equation, cause of the subtraction sign, 12+24=36. Then you have -4m=36. Then divide the 4 to get the m by its self. 36 divided by -4 is -9. Your answer is m=-9
Hope this helps :)
A family wants to purchase a house that costs $110,000. They plan to take out a $100,000 mortgage on the house and put $10,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $761.52 and with a 30-year mortgage their monthly payment would be $574.01. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
Answer:
you do 761.52 times 15.
then 574.01 times 30
which ever number is lowest is the one where you save more money. e.g IF the 15 times 761.52 is lower then the 30 times 574.01 then you take them away from each other.The answer to that is how much ur saving.
A company ships gift baskets that contain apples and pears the distributions of weight for the apples the pears and baskets are each approximately normal with mean and standard deviation for each distribution as shown in the table below the way to the items are assumed independent let the random variable W represent the total weight for apple six pairs in one basket which of the following is closest standard deviation of W
Answer:
1.97
Step-by-step explanation:
Following are the solution to the given points:
Assume A, P, and B is the masses of apples, pears, and basket, respectively.
[tex]\to W = 4A + 6P + B[/tex]
Calculating the mean of W:
[tex]\to \bold{W = E(W) }[/tex]
[tex]\bold{= E(4A + 6P + B)} \\\\ \bold{= 4E(A) + 6E(P) + E(B)}\\\\\bold{= 4 \times 4.72 + 6 \times 5.41 + 13.52} \\\\ \bold{= 18.88 + 32.46 + 13.52} \\\\ \bold{= 64.86 }[/tex]
Calculating the variance of W:
[tex]\to \bold{W=Var(W)}\\\\[/tex]
[tex]\bold{= Var(4A + 6P + B)}\\\\ \bold{= 42 Var(A) + 62 Var(P) + Var(B)}\\\\\bold{= 16 \times 0.22 + 36 \times 0.182 + 1.882}\\\\ \bold{= 3.52 + 6.552 + 1.882}\\\\ \bold{= 5.3408}[/tex]
Calculating the standard deviation of W:
[tex]\to \bold{W= \sqrt{5.3408}= 2.311017}[/tex]
The linear combination of Normal random variables is known to follow the normal distribution.
[tex]\to \bold{W \sim N(64.86 , 2.311017)}[/tex]
Calculating the Probability of the Total Weight is more difficult.[tex]\to \bold{67 = P(W > 67)}[/tex]
[tex]\bold{= P[ Z > \frac{(67 - 64.86)}{ 2.311017}]}\\\\\bold{= P[Z > 0.93]}\\\\\bold{= 0.1762}[/tex] (Using Standard Normal distribution)
Therefore, the final answer is "64.86, 2.311017, and 0.1762".
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FInd f(-4) for the function f(n)=3/4n-5. show work
Answer:
f(-4) = -8
Step-by-step explanation:
Okay fo if f(n) is f(-4), then n = -4.
f(-4) = 3/4n - 5
f(-4) = 3/4 (-4) -5
f(-4) = -3 - 5
f(-4) = -8
Hope this helps and I hope u have an Amazing day!!
Find the original price of a pair of shoes if the sale price is $168 after a 20% discount.
A. $210
B. $840
C. $93.20
D. $336
Answer:
A. 210
Step-by-step explanation:
answer 13/14 - 1/7 + 1/2 and 6/10 - 1/5 + 1/4
Answer:
mixed form: 1 131/140
decimal form: 1.93571
Answer:
first question is 18/14 simplify it's 9/7
Second question is 13/20
Step-by-step explanation:
Hope this helps
3 over 2 of 24 bananas=
Answer: 36 bananas
Step-by-step explanation: find 1/2 of 24 which is 12. Then, add that with 24.
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 years?
Answer:
1,120 dollars interest will be paid by Joe in 4 years
Step-by-step explanation:
4,000 times 7 ( 0.07 ) is 280, and 280 times 4 is 1,120
Is it true that the only nontrivial maximally planar regular graphs are the triangle, the tetrahedron, the octahedron, and the icosahedron?
No answer needed!
Answer:
. Have a goodnight.
Which two statements are both true?
Answer:
(b) FG⊥HB and FG║DE
Step-by-step explanation:
You want to know two statements that correctly describe the diagram where HB crosses lines FG, DE, and AC.
PerpendicularLine HB is indicated as being perpendicular to lines FG and DE by the small square in the corner where the lines cross. It is true that ...
FG⊥HB
ParallelLines FG and DE are both perpendicular to line HB. LInes in a plane that are perpendicular to the same line are parallel to each other. It is true that ...
FG║DE
Line AB goes through the points A (0,-4) and B (6,2). Which equation represents line AB?
Oy-4= 3x
Oy-2= 3( – 6)
Oy+4=x
Oy+6=x-2
Answer:
c, i just got it right on edge
Step-by-step explanation:
I NEED THE ANSWER FAST PLS HELP
Answer:
12 and 30
Step-by-step explanation:
6+6=12+6=24+6=30+6=36
Convert 48 2/5 into a decimal
Answer:
48 and 2/5 converted into decimal form is 48.4
Answer:
[tex]48.4[/tex]
Step-by-step explanation:
[tex]48 \frac{2}{5} \\ \frac{242}{5} \frac{ \times 20}{ \times 20} = \frac{4840}{100} \\ = 48.4[/tex]
when you convert 10000 present dollars into future dollars of year 15 if the inflation rate is 77% per year, the result is equal to __________.
Answer:
$125,500
Step-by-step explanation:
From the question we are given the following
Present amount = 10000
Inflation rate = 77%
Time = 15years
Using the simple interest method n
Get the inflation amount after 15years
SI = Principal × Rate ×Time/100
SI = 10000×77×15/100
SI = 100×77×15
SI= $115500
The amount after 15years = Present amount + interest
Amount after 15years = 10000+115500
Amount after 15years = $125500
Hence the required result is equal to $125,500
In a newspaper, it was reported that the number of yearly robberies in Springfield in
2011 was 64, and then went down by 50% in 2012. How many robberies were there in
Springfield in 2012?
HELP
Answer:
32 robberies
Step-by-step explanation:
To find the amount here, divide 64 by 2 (or multiply by 1/2).
64 / 2
How many times does 2 go into 6? (3)
3-
4 / 2
How many times does 2 go into 4? (2)
32 robberies
help!!!!
Which statement is correct when solving the expression 5y2 – 3y2?
Question 19 options:
Add the coefficients (5 + 3).
Subtract the exponents (2 – 2).
Add the exponents (2 + 2).
Subtract the coefficients (5 – 3).
Answer: Subtract coefficients (5-3)
Step-by-step explanation:
5y^2-3y^2= 2y^2
What is |9|?
-18
-9
9
18
Answer:
the true answer is 9
Step-by-step explanation:
Because the product of the absolute value is the same number and positive
You have several purchases you need to purchase 1/2 lb of cheese, 3lbs sliced ham, 2 loaves of bread, 4 bags of potato chips, and 1 container of salsa. You have a coupon for $4.00 off of your purchase totals more than $15.00 or %10 off if the total is more than $20.00. The food sales tax is 3%. What is your total purchase?
Cheese:$1.99/lb
Sliced ham:$3.29/lb
Bread:$1.59/loaf
Potato chips:$1.99/ea Or 2 for $3.00
Salsa:$1.39/container
Be sure to include in your response.
The steps you followed to complete your computations.
The choice you made regarding which discount to use.
The total cost of your purchase.
The total purchase is $18.90.
What is the total purchase?A discount would reduce the cost of the purchase. A tax increases the cost of the purchase.
The first step is to determine the total cost of the items purchased.
Total cost = (cost of lb of cheese x lb bought) + (cost of sliced ham x lbs bought) + (cost of bread x loaves bought) + (cost of a bag of potato chips x number of bags bought) + (cost of one salsa container x number of containers bought)
(1.99 x 1/2) + (3 x 3.29) + (1.59 x 2) + (2 x $3) + (1.39 x 1) = $20.39
Since, the total cost is greater than $20 she qualifies for the 10% discount
Total cost after the discount = (1 - 0.1) x $20.39
0.9 x $20.39= $18.35
Cost after the tax = (1 + 0.03) x $18.35
1.03 x $18.35 = $18.90
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What is the probability of getting number greater than 7 when 2 cards are drawn?
a) with replacement
b) without replacement
Please see the attached photos. Hope this helps :). A simpler approach is to think of the probability of the opposing happening, or not getting a number greater than 7 from either draw. I personally like this style of visualization though :)
Simplify 9 × d x e × 6
The simplification if the expression "9 × d x e × 6" involving whole number and variable is 54de
Simplification9 × d x e × 6
9 = whole numberd = variablee = variable6 = whole numberGiven the task content, this implies multiplying of all variables and whole numbers in the expression in order to arrive at a common result.
9 × d x e × 6
= 54de
It is very possible to simplify a mathematical statement whether or not the variables are letters, numbers, numbers and letters, like terms and unlike terms. So from the simplification above, 9 × d x e × 6 gives 54de.
Therefore, the simplification if the expression "9 × d x e × 6" involving whole number and variable is 54de
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A ________ function specifies the relationship between the demand for a product LaTeX: x and the price of the product LaTeX: p.
Answer:
Price demand function
Step-by-step explanation:
The price demand function is the function in which there is a relationship between the demand and the price of the product
The Price demand function is
[tex]= Price \times demand[/tex]
[tex]= p \times x[/tex]
hence, the price demand function represents that there is a relationship that lies between the demand and the price
I GIVE BRAINLILEST
//////////////////////////////////////
Answer:
answer is c makes sense because you just add 1.25 x 20
Example 2
What is the point of intersection
of the two equations?
TE
-4=2y-x
-3 + 2x = - y
Show
Graphically
Answer:
I need points sorry wish I could help
True or False: When
ordering numbers, you
always start by looking at the
smallest place value.
Answer:
True
Step-by-step explanation:
ight so lets say 3,4567
4 is the tenth 5 is the hundredth 6 is the thousandth and 7 is hundred thousandths
you first put the biggest number (4000) in the tenth place and you keep going up
If the measure of angle 1= (6x+25) and the measure of angle 4= (10x-11) find the measure of angle 1
The measure of angle 1 is 79°
Given:
Value of angle 1 = (6x + 25)
Value of angle 4 = (10x - 11)
Find:
The measure of angle 1
Computation:
In the absence of complete question,
Assume;
Angle 1 = Angle 4
So,
6x + 25 = 10x - 11
10x - 6x = 25 + 11
4x = 36
x = 36 / 4
Value of x = 9
By putting value of x in angle 1
Value of angle 1 = (6x + 25)
Value of angle 1 = 6(9) + 25
Value of angle 1 = 54 + 25
Value of angle 1 = 79
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HELP ME PLEASE U WILL GET BRAINLIEST
Answer:
B
Step-by-step explanation:
the biggest one is B
Hope this helps plz hit the crown ;D
Calculate the slope of the line that passes through (-10, 3) and (2, -3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 10, 3 ) and (x₂, y₂ ) = (2, - 3 )
m = [tex]\frac{-3-3}{2-(-10)}[/tex] = [tex]\frac{-6}{2+10}[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex]
Which of the following is a nonlinear function?
A.
Input 1 2 3 4 5
Output 4 8 12 16 20
B.
Input 1 2 3 4 5
Output 4 10 16 22 28
C.
Input 1 2 3 4 5
Output 4 12 20 28 36
D.
Input 1 2 3 4 5
Output 4 16 64 256 1,024
B. Input 1 2 3 4 5 Output 4 10 16 22 28
C. Input 1 2 3 4 5 Output 4 12 20 28 36
D. Input 1 2 3 4 5 Output 4 16 64 256 1,024
are non -linear functions
What are non - linear functions ?
A function whose graph is not a line or part of a line. • Example: – As you inflate a balloon, its volume increases. The table below shows the increase in volume of a round balloon as its radius changes.
We look at different types of nonlinear functions, including quadratic functions, polynomials and rational, exponential and logarithmic functions, as well as some applications such as growth and decay and financial functions.
A.
Input 1 2 3 4 5
Output 4 8 12 16 20
Since , all varies as output = 4* input , it is a linear function
B.
Input 1 2 3 4 5
Output 4 10 16 22 28
Since , no relation therefore it is non -linear
C.
Input 1 2 3 4 5
Output 4 12 20 28 36
Since , no relation therefore it is non -linear
D.
Input 1 2 3 4 5
Output 4 16 64 256 1,024
Since , no relation therefore it is non -linear
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