Answer:
f(4) - g(3) = 28
Step-by-step explanation:
f(x) = 8x + 10
f(4) = 8(4) + 10
f(4) = 32 + 10
f(4) = 42
g(x) = 6x - 4
g(3) = 6(3) - 4
g(3) = 18 - 4
g(3) = 14
f(4) - g(3)
= 42 - 14
= 28
A car dealership decreased the price of a certain car by 12%. The original price was $37,400.
Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price= × Original price
Use your answer in part (a) to determine the new price. Newprice: $
Answer:
(b) The new price of car is $43584.
Step-by-step explanation:
Find the degree of the monomial.
1/3x^5y
Answer:
6
Step-by-step explanation:
Which of these equations are true when the value of y is 27?
I. −9 + y = 18
II. −18 + y = −45
III. 5y = 135
IV. 2y = 29
Answer:
I. -9 + y = 18
Step-by-step explanation:
Double-check to see if I was correct
The equations I. and III. satisfies the condition when y = 27
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The value of y = 27
So , substituting the value of y in all of the given equations , we get
I.
-9 + y = 18
when y = 27
Substituting the value of y , we get
-9 + 27 = 18
18 = 18
So , I. satisfies the condition and the equation is TRUE
II.
-18 + y = 45
when y = 27
Substituting the value of y , we get
-18 + 27 = 45
9 ≠ 45
So , II. does not satisfy the condition and the equation is FALSE
III.
5y = 135
when y = 27
Substituting the value of y , we get
5 x 27 = 135
135 = 135
So , III. satisfies the condition and the equation is TRUE
IV.
2y = 49
when y = 27
Substituting the value of y , we get
2 x 27 = 29
54 ≠ 29
So , IV. does not satisfy the condition and the equation is FALSE
Hence , the equations I. and III. are TRUE
To learn more about equations click :
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there are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light what is the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color
Answer:
3/5
Step-by-step explanation:
To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)
The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black and this can be determined by using the given data.
Given :
There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.
The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:
Step 1 - According to the given data, the total number of black socks is 18 and the total number of Navy socks is 12.
Step 2 - The probability that the socks come out is black socks is given below:
[tex]\rm P_b = \dfrac{18}{12+18}[/tex]
[tex]\rm P_b = \dfrac{18}{30}=\dfrac{3}{5}[/tex]
Step 3 - The probability that the socks come out is navy socks is given below:
[tex]\rm P_n = \dfrac{12}{12+18}[/tex]
[tex]\rm P_n=\dfrac{12}{30}=\dfrac{2}{5}[/tex]
Step 4 - Compare both the probability.
[tex]\rm P_b>P_n[/tex]
So, the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.
For more information, refer to the link given below:
https://brainly.com/question/795909
Angle A and B are supplementary. If m∠A = 143°, find m∠B.
7. Original price: $32
Discount: ?
Sale price: $8
Answer:
The discount is $24 but if its percentage it is 75% off
Step-by-step explanation:
hope this helps
Find the missing angle I think...
Answer:
Step-by-step explanation:
Since this is a test/homework, I'll give you a hint.
A triangle always is 180 degrees. If you add up all the sides, it should be 180.
A horizontal line is 180, if you add up the two sides (or the "line" that is crossing through the horizontal one) it'll be 180.
Just think of it like this: 180 is king. No matter what you add together, if its not 180, its wrong.
Hope this helps!
Solve each system by substitution.
2) 4x + y = -8
8x + 2y=5
A) (4-6)
C) (54,6)
B) No solution
D) (-6,4)
Answer:
b. no solution
Step-by-step explanation:
change to slope-int form
y=-4x-8
y=-4x+5/2
see how the slopes are the same but the y-int are different? they are parallel, so they never touch
Randy has 53 inches of ribbon that he cuts into 6 pieces of equal length. What is the equal length of each piece of ribbon in inches
Answer:
9
Step-by-step explanation:
The reason being 9 is because the keyword was equally so if you need to add an additional inch, it will make it equal.
How were some European Jews able to come to Georgia in the 1930s? Check all that apply.
The US government loosened its restrictions on Jewish immigration.
Officials in the Georgia state government sponsored most immigrants.
Jewish immigrants tried to help family members back in Europe escape.
Private organizations helped Jewish children and teenagers find homes.
American citizens legally agreed to be responsible for Jewish immigrants.
Jewish American activists worked to bring immigrants to the United States.
Answer:
1 2 and 4
Step-by-step explanation:
Answer:
3,4,5,&6
Step-by-step explanation:
Convert 1/4% to ratio
Answer:
1 : 4
Step-by-step explanation:
1. Find the area of the composite figure.
6 m
8 m
10 m
Answer:
Answer:
480 u have to multiply
Step-by-step explanation:
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PLS SHOW THE WORK!!!!!!!!
Answer:
x=-4/11; y=-19/11
Step-by-step explanation:
Answer:
x = 4/11 ; y = 19/ 11
sorry i cant give you the explanation
i hope this will help u
pls add me as bainliest
Step-by-step explanation:
Please I need help with this question
Answer:
10.44 feet
Step-by-step explanation:
You need to use the Pythagorean Theorem twice.
First we have to find the diagonal for the base.
6²+8²=x²
36+64=x²
100=x²
√100=x
x=10
Now we can find d.
10²+3²=x²
100+9=x²
109=x²
√109=x
x=10.44 feet
Please give me genuine answers for this! It’s Math!
Some one please help
Answer:
1/31 or [tex]\frac{1}{31}[/tex]
To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
i need help!!!!!!!!......
Answer:
x² / z²
Step-by-step explanation:
i factored each expression and when it came to division, I multiplied by the reciprocal
[x(y + z) / z(x - z)] · [y(x - z) / z(x + y)] · [x(x + y) / y(y + z)]
re-write the above in a horizontal fraction form and it will be easier to follow
what does math means
Answer:
It means mathematics.
Lamoo thats wht it said in go-ogle
Step-by-step explanation:
eggs are packaged by the dozen. if a dozen eggs cost $1.20, what is the unit price per egg?
Answer:
$0.10
Step-by-step explanation:
$1.20 divided by 12
Answer:
Price divided by quantity
that equation will make unit price a heck of a lot easier to remember
in this case, the quantity is 12. The price is 1.20. So, divide 1.20 by 12, and you get 10 cents per egg.
The unit price is .10 cents per egg.
witch number is composite 5,2,11,9
Answer:
9 is the composite number.
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
On the first day of
December it snowed 234
inches. The second day it
snowed 1/2 inches, and the
third day it snowed 38 of
an inch What was the
total amount of snow fall
over the first three days
of December?
Challenge: What was the
average snowfall over the
three days?
272.5 inches of snow.
Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?
Answer:
5 to each group and she gave 6 stickers to he sister
Pls help me do you know the answer let me know
Answer:
Are you telling us to answer it all?
Step-by-step explanation:
Answer:
I'm so sorry I have no idea seems so so complicated
Step-by-step explanation:
But I think you would need a specific equation for it and substitute numbers in it.
Find the surface area of the square pyramid (above) using its net (below)
Answer:
7 votos
Answer:12Step-by-step explanation:For each of the four triangles you multiply the base (2) by the height (2) and then divide it by 2 which equals 2.
Find the polynomial of least degree in standard form with the given roots:
x = 2, 3i
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
Easy
5
If 3x + 5y = 15 and x – 2y = 10, what is the value of 2x
+7y?
Answer:
5
Step-by-step explanation:
dont really understand why you answered your own question?
find simple interest amount for 1000 for one year at 6%
Answer:
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.
Answer:
See Explanation
Step-by-step explanation:
For ASA
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \angle Q \cong \angle F[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
For AAS
[tex] \angle P \cong \angle G[/tex]
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
A car can travel 41 miles on 1 gallon of gasoline. How far can it travel on 14
gallons?
Answer:
574
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
The car goes 28 miles on 1 gallon of gas. If you have 14 gallons you would go 14 times faster than if you only have 1 gallon
3. Two coins are simultaneously tossed until one of them comes up a head and the other a tail. The first coin comes up a head with probability p and the second with probability q. All tosses are assumed independent. (a) Find the PMF, the expected value, and the variance of the number of tosses. (b) What is the probability that the last toss of the first coin is a head
Answer:
Step-by-step explanation:
From above-given information
Consider p to be the probability that the first coin comes up as head
Consider q to be the probability that the second coin comes up as tail.
Provided all tosses seems to be independent.
Then;
Let X represent no. of tosses, where X follows a geometric distribution with parameter;
p' = p(1-q) +q(1-p)
with probability mass function (pmf)
[tex]P(X = x) = ( 1 - p')^{x - 1} p'[/tex]
Thus, the mean (expected value) and the standard deviation can be computed as:
[tex]E(X) = \dfrac{1}{p'}[/tex]
[tex]\mathbf{E(X) = \dfrac{1}{p(1-q)+q(1-p)}}[/tex]
[tex]V(X) = \dfrac{1-p'}{(p')^2}[/tex]
[tex]\mathbf{V(X) = \dfrac{1-[p(1-q)+q(1-p)]}{[p(1-q)+q(1-p)]^2}}[/tex]
(b)
Suppose X represents that the first coin is head;
and Y represent the last toss
Therefore, the required probability is:
[tex]P(X|Y) = \dfrac{p(1-q)}{p'}[/tex]
[tex]P(X|Y) = \dfrac{p(1-q)}{p(1-q)+(1-p)q}[/tex]