Answer:
5x^2 +28x - 100
Step-by-step explanation:
f(x)=7x^2−2 and g(x)=2(x−7)^2
First simplify g(x)
g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98
Now f(x) - g(x)
f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)
Distribute the minus sign
= 7x^2−2 - 2x^2 +28x -98
Combine like terms
= 5x^2 +28x - 100
Which sentence has the quotation marks placed correctly ?
1.) “Mother ," I cut my finger , said Jane.
2.) "Mother, I cut my finger," said Jane.
3.) Mother, I cut my finger, "said Jane."
4.) "Mother, I cut my finger, said Jane."
Find the volume of a sphere with a diameter of 6.2 in.
Answer: its 23 meters
Step-by-step explanation:
The volume of a sphere with a diameter of 6.2 in is 39.72π
What is the volume of the sphere?The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.
The radius of the sphere is;
[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1[/tex]
The volume of the sphere is;
[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi[/tex]
Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.
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difference between the place values of 2 is in 4242
Answer:
[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]
4242
2 = 200 ( 2 is in hundred's place )
4242
2 = 2 ( one's place )
Difference = ?
[tex] = 200 - 2 \\ = 198[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
sine is positive in
Your answer:
o the 1st and 2nd quadrants
O the 1st and 3rd quadrants
o the 1st and 4th quadrants
o the 2nd and 3rd quadrants
Please help
Answer:
sin is only positive in 1st and 2nd quadrants
Step-by-step explanation:
As you may know, sine is defined as y-term or value in (x, y). You can go see a unit circle.
Remember that sine is y while cosine is x.
Since sine is y, It'd be a horizontal line. And since it's a horizontal line, it intersects two points in a unit circle.
Q1 and Q2 both are positive while Q3 and Q4 are negative.
At the end of each day of a bowling competition, half of the bowlers are eliminated until a winner is determined. There are 320 bowlers on day 1 of the competition. Which equation represents the number of bowlers, y, on the day x of the competition
Answer:
Step-by-step explanation:
Y= 320(1.5)^x-1
In this exercise we have to use the data informed in the text and perform the assembly of an equation in this way we find that:
[tex]Y=320(0.5)^X-1[/tex]
Some data were informed in the text for this equation to be written, so:
Y: the number of bowlersX: on the day320 bowlersNow writing the equation representing the given information is:
[tex]Y=320(0.5)^X-1[/tex]
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Solve (x + 4)2 – 3(x + 4) – 3 = 0 using substitution. u = x + 4 Select the solution(s) of the original equation.
Answer:
-7
Step-by-step explanation:
2(x+4)-3(x+4)-3=0
2x+8-3x-12-3=0
-x+8-15=0
-x-7=0
+7 +7
-x=7
/-1 /-1
x=-7
--
hope it helps
Answer:
B and D buster
Step-by-step explanation:
At a local plant sale, Janice was selling Golden Barrel Cactus plants and baby Saguaros. During the sale, she sold 5 times as many Saguaros ($6 each) as Golden Barrels ($10 each). She made a total of $720 during the plant sale. How many Saguaros did Janice sell? A. 18 B. 40 C. 72 D. 90
Step-by-step explanation:
The answer is D 90
Answer:
In a rational function, what must be true for the graph to have a horizontal asymptote at
y = 0.
Answer:
m = 0
Step-by-step explanation:
Determine the slope of the line that passes through the points (-4,-2) and (3,1).
Answer:
Step-by-step explanation:
Stephanie, so many people ask questions about this type of problem, I think the teachers don't know how to explain these at all. Ask your teacher if I can have some of their salary :) I have to explain this to that many people.. :0
given"
point P1 (-4,-2) in the form (x1,y1)
point P2(3,1) in the form (x2,y2)
slope = m
formula for slope is:
m = (y2-y1) / (x2-x1)
m = (1-(-2) ) / (3 - (-4))
m = (1+2) / (3+4)
m = 3 /7
That's your slope, ask if you need more explanation, I'm really curious about why this type of problem causes so many questions :/
can someone help explain this problem
Answer:
HK=66°
Step-by-step explanation:
Based on the diagram, we know the two sides of the arcs are equal. So we set up an equation that solves for x, then plug it back into one of the sides, and double it.
x+20=6x-45
65=5x
x=13
x+20=33
33x2=66
Solve:
22,064 ÷ 394=
Answer: 56
394 goes into 22064 56 times.
Answer:
0.056
The Answer is 56!!!!
Step-by-step explanation:
No file, guessing, or random answers
a population has a standard deviation of 20.2. what is the standard error of the sampling distribution if the sample size is 121? round your answer to two decimal places.
A) 1.84
B) 1.44
C) 1.55
D) 1.68
Answer:
A) 1.84
Step-by-step explanation:
I just took the quiz
The standard error of the sampling size is 121 is 1.84
What is standard error?"a measure of the statistical accuracy of an estimate, equal to the standard deviation of the theoretical distribution of a large population of such estimates."
"In the standard error formula, the factor sqrt[ (N - n ) / (N - 1) ] is called the finite population correction or fpc. When the population size is very large relative to the sample size, the fpc is approximately equal to one; and the standard error formula can be approximated by:
σx = σ / sqrt(n)."
Given,
Standard deviation of the sample is 20.2
and sample size is = 121
Standard error is = [tex]\sigma/\sqrt(n)[/tex]
i.e. standard error = [tex]20.2/\sqrt(121)[/tex] = 20.2/ 11 = 1.84
Hence, option A is true.
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If x= 2/3 and x = – 3 are roots of the quadratic equations ax2 + lx + b = 0, find the values of a and b.
Answer:
Step-by-step explanation:
ax² + 7x + b
Substituting 2/3 in equation
4a/9 + 14/3 +b = 0
4a/3 + 14 + 3b = 0
4a + 42 + 9b = 0 ------> (i)
Substituting -3 in equation
9a - 21 + b = 0
81a - 189 + 9b = 0 ------> (ii)
Elimination method
a = 3
substituting in any equation
b = -6
There are 25 pineapples in a basket. Each pineapple weighs 100 grams. What is the total weight off all the pineapples in the basket? Please use complete sentences when answering the question.
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
Factor 4x2 - 1.
A) (2x + 1)(2x - 1)
B) (2x - 1)(2x - 1)
C) (4x - 1)(x + 1)
D) (4x + 1)(x + 1)
Answer: A) (2x+1)(2x−1)
How to: Since both terms are perfect squares, factor using the difference of squares formula,
Have a great day and stay safe !
The area of a square is 144 in.2
What is the length of one side of the square?
Answer:
12 inches
Step-by-step explanation:
Find the square root
144² ÷ 2 = 12
Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.
find the length of the hypotenuse of a right triangle if a=6 and b=10
Answer:
Step-by-step explanation:
6^2 + 10^2 = c^2
36+100 = c^2
136 = c^2
square root both sides
c = square root 136
Please hel p me. !!!!!!!
Answer:
7,3921
Step-by-step explanation:
Consider the sequence 1, 3, 9, 27, 81, … Which statement describes the sequence? The sequence diverges. The sequence converges to 1. The sequence converges to ∞. The sequence converges to –∞.
ANSWER: A
Answer:
a
Step-by-step explanation:
just took it!
5. Match each description with the correct equation below. Then solve the equation.
a) When 4.26 is added to a number, the sum is 17.04.
b) The product of 4.26 and a number is 17.04.
c) When a number is doubled and 4.26 is subtracted, the result is 17.04.
4.26n = 17.04 2n − 4.26 = 17.04 n + 4.26 = 17.04
Answer:
.
Step-by-step explanation:
Suppose two rectangles have the same area. Must they have the same length and width? Explain.
Answer:
no
Step-by-step explanation:
Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.
2. Katelyn flips a coin and rolls a standard 6-sided die. What is the probability that she
flips tails and rolls a 3?
1/2
1/4
1/8
1/12
Answer:
1/2 because a coin is a 50/50 % chance of both sides
Answer:
1/12
Step-by-step explanation:
It says that she flips a coin and a dice. So you do 2x6=12. And you get 1/12. Sorry if the explanation doesnt make sense.
can I get help with this 3m⁵ x 3m⁷
WILL
GIVE
BRAINLIST
FIND THE OPPOSITE OF THE NUMBER
21
Answer:
it's
-21
or 12
which one you mean
I need help ASAP!!!!!! Calculate the slope of the line through the points (-1, 1) and (4, 0).
A. 5x
B.-1/5
C.1/5
D.-5
Answer:
B. -1/5
Step-by-step explanation:
To find the slope we place (0-1) over (4- (-1))
Please solve and I will give brainliest!
Answer:2
0
+
1
0
Step-by-step explanation:
Answer:
question 1: 10 + 20f
question 2: 164,340
Step-by-step explanation:
question 1:
10(1 + 2f)
(10 x 1) + (10 x 2f)
10 + 20f
question 2:
120n + 160,500 n =32
120(32) + 160,500
3,840 + 160,500
164,340
The perimeter of a triangle is 64 in. The longest side is 14 in. Longer than the medium side, and the medium side is 7 in. more than the shortest side. Find the length of each side of the triangle
Answer:
longest side =33
medium side =19
shortest side = 12
Step-by-step explanation:
Let medium side be x
then longest side =14 +x
shortest side = x-7
we know that ,
perimeter =sum of all side
or, 64 = 14+ x + x + x -7
or, 64 - 7 = 3x
or, 57 = 3x
or, 57÷3 = x
or, x = 19
then
medium side =x = 19
longest side =x+14 =33
shortest side = x- 7 = 12 #
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 18)(0,18) and (2, 288)(2,288).
Answer:
[tex]y = 18*4^x[/tex]
Step-by-step explanation:
We want an exponential equation in the following format:
[tex]y = ab^x[/tex]
Point (0,18):
This means that when [tex]x = 0, y = 0[/tex]. So
[tex]y = ab^x[/tex]
[tex]18 = ab^0[/tex]
[tex]a = 18[/tex]
So
[tex]y = 18b^x[/tex]
Point (2,288):
This means that when [tex]x = 2, y = 288[/tex]. So
[tex]y = 18b^x[/tex]
[tex]18b^2 = 288[/tex]
[tex]b^2 = \frac{288}{18}[/tex]
[tex]b^2 = 16[/tex]
[tex]b = 4[/tex].
So
[tex]y = 18*4^x[/tex]
Find the median and mean of the data. Which reflects the best measure of the center?
43, 38, 37, 57, 57 58, 45