Answer:
To get the function g, shift f up by 3 units and to the right by 9 units.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=(x-9)^2+3[/tex]
If f(x) is a parent function, then g(x) can be written in the form of f(x) as
[tex]g(x)=f(x-9)+3[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)2+b[/tex] ... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=-9,b=3[/tex]
It means, to get the function g, shift f up by 3 units and to the right by 9 units.
Answer:
To get the function g, shift f up by 3 units and to the right by 9 units.
Step-by-step explanation:
A cone has a radius of 9 cm and a height of 10 cm . The volume of the cone is___ π cm3 .
What is the volume of the solid figure? A rectangular prism on top of another longer rectangular prism. The top prism measures 5 inches by 5 inches by 5 inches. The bottom prism measures 20 inches by 5 inches by 5 inches. 625 in3 750 in3 800 in3 1,250 in3
Answer:
A
Step-by-step explanation:
V=5^(3)+20*5*5
V=125+500
V=625 in^3
Answer:
it is c
Step-by-step explanation:
Which graph has a slope of -3?
Answer:
fourth picture
Step-by-step explanation:
Four cups of water are added to a 20 cup bowl of punch that is 75% juice. What percentage of the new punch is juice?
Answer:
15%
coz thats the ans
Answer:
The new punch is 62.5% juice.
Step-by-step explanation:
First we find how many cups of juice are in the punch. To do this we take 75% of 20, which is 15. We can confirm 15 is correct by doing 15 / 20 = 0.75, or 75%
Next we add four cups of water, bringing our total amount of cups to 24. We doing the last equation from above except with 24 cups instead of 20.
15 / 24 = 0.625, or 62.5%
3/11 x 3 1/4 Answer this question
Answer: 39/44
Step-by-step explanation:
3 1/4 = 13/4
13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44
The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.
To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.
To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.
3 1/4
= (3 x 4 + 1) / 4
= 13/4
Now we can multiply 3/11 by 13/4:
(3/11) x (13/4)
= (3 x 13) / (11 x 4)
= 39/44
Therefore, the product of 3/11 and 3 1/4 is 39/44.
To learn more about the fractions;
https://brainly.com/question/10354322
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What is the value of x? answers: A) 76° B) Impossible to determine C) 56° D) 62°
Answer:
C) 56 deg
Step-by-step explanation:
The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.
28 + y = 90
y = 62 deg
The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.
The sum of the measures of the angles of a triangle is 180 deg.
62 + 62 + x = 180
124 + x = 180
x = 56
Answer: C. 56 deg
Can anyone help out with this one?
Answer:
the answer is 32
Step-by-step explanation:
8 x 4 = 32
tip: division is backwards multiplication with different signs
hope this helps :)
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If cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees
Answer: Sin 23 = 2/5
Step-by-step explanation:
If cos 67 degrees is close to 2/5. That is, approximately,
Cos 67 = 2/5
Multiply the numerator and the denominator by 50
Cos 67 = 100/250
From trigonometry ratio,
Cos Ø = adjacent/hypothenus
Where the
Adjacent length = 100 cm
Hypothenus length = 250 cm
Po = opposite length = 100cm
If the degree = 23
The closest length will be
Sin Ø = Opposite/ hypothenus
Sin 23 = 100/250
Divide both the numerator and the denominator by 50
Sin 23 = 2/5
Answer:
40 cm
Step-by-step explanation:
A train travels at a speed of 45 kmph. In 48 minutes, how much distance will it travel? ( with explanation )
Answer:
36 km
Step-by-step explanation:
By dividing 45 by 60 you make it into .75 per minute therefore by multiplying by 48 you get your answer which is 36 km
Answer:
36 km
Step-by-step explanation:
We are given a speed in km per hour. Since 1 hour = 60 minutes, we can find the speed in km per minute.
45 kph = 45 km/hour = 45 km/(60 minutes) = 0.75 km/minute
Now that we know the speed in km per minute, we multiply the speed by 48 minutes to find the distance traveled in 48 minutes.
0.75 km/minute * 48 minutes = 36 km
A man measured his height and found 5.7 feet. However, after he carefully measured his height a second time, he found his real height to be 5 feet.What is the percent error the man made the first time he measured his height?
Answer:
percentage error = 12.28%
Step-by-step explanation:
5 x 0.14 = 0.7
5 x 1.14 = 5.7
as increase is not the same as error decrease.
We use the same numbers 12.28% = 0.1228.
5.7 x 0.1228 = 0.69996 = 12.28%
5.7 - 0.69996 = 5.00004 foot. As decrease.
And find it is correct.
His error therefore was 12.28% out.
As we work the first numbers 5.7 and can only x by a number to see 5ft
We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot. (5.00004) ft.
Answer:
14%
Step-by-step explanation:
percent error = (experimental measure - real measure)/(real measure) * 100%
percent error = (5.7 ft - 5 ft)/(5 ft) * 100%
percent error = (0.7 ft)/(5 ft) * 100%
percent error = 0.14 * 100%
percent error = 14%
f(x)=5x−3
f(5) = ???
Answer:
22
Step-by-step explanation:
5(5) -3
25-3
22
Answer:
the answer is 22.
Step-by-step explanation:
4.2 is 25% of what number
Answer:
16.8
Step-by-step explanation:
If 4.2 is 25% of a number:
25% x 4 = 100%
4.2 x 4 = 16.8
What is the answer I need the answer
Answer:
The correct choice is A
Step-by-step explanation:
the definition of inverse is the opposite of something or different in direction so that would mean they want you to switch what they gave you so that would mean the answer is choice A
HELPPPPPP PLEASEEEEE I HAVE 50 min left
Answer:
A
Step-by-step explanation:
Solving for 1995, which is 5 years after 1990, so plug in 5 as t.
n= 1.76(5)² - 13.32(5) + 41
n= 44 - 66.6 + 41
n= 18.4
n≈ 18 days
18. Use an inequality symbol (<, >,=, s) to compare -3 +7_-10 - 2
A. s
B.>
C. =
D.<
Answer:
-3 +7 > -10 - 2
Step-by-step explanation:
Given
-3 +7_-10 - 2
Required
Compare using any of the given inequality symbols
We start by solving both sides of the inequality
- 3 + 7 _ -10 - 2
(-3 + 7) _ (-10 - 2)
(4) _ (-12)
Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);
Hence, the _ symbol can be replaced by the greater than symbol.
(4) _ (-12) can then be rewritten as
(4) > (-12) or
- 3 + 7 > -10 - 2
From the list of given options, option B is correct
Which would be used to solve this equation? Check all that apply.
p/3=12
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution
Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution
Step-by-step explanation: Help I help
A group of friends buys 15 movie tickets for a total of $147.66, which
includes a 7% sales tax.
Before tax, how much did a single movie ticket cost?
Answer: $9.20
Step-by-step explanation:
Divide the full tax price by the sales tax (7% or .07) plus 1 (always add 1 to the tax) thus
$147.66 / 1.07 = $138.00
So $138.00 is the full price without tax.
Now divide $138.00 by the amount of tickets (15) to find a single ticket price before tax!
138.00/15 = $9.20
Remember to always add 1 to the tax percentage above when dividing to get the *pre-tax* price.
which inequality is represented by this graph? (0,1) (3,0)
Answer:
y ≤ -1/3x +1
Step-by-step explanation:
We have a solid line so the inequality has an equals sign.
The graph is shaded underneath so y is less than or equal to
y ≤ -1/3x +1
Answer:
Y<-1/3x+1
Step-by-step explanation:
The line passing through the points is highlighted making it equal to and what makes it less than is that it's shaded on the lower side of the line
Yep another question... what my teacher never teach me this
Answer:
its b.
Step-by-step explanation:
Help asap plzz
-3x + 7 = -8
Answer:
x=5
Step-by-step explanation:
-3x+7=-8
Bring 7 to the other side, it becomes negative
-3x=-8-7
Signs are same on rhs so u add
-3x = -8+-7= -15
Bring -3 to the other side n divide
therefore,
x=-15/-3
= +5 (two negatives become positive)
Hope it helps!
Answer:
x = 5
Step-by-step explanation:
→Subtract 7 from both sides:
-3x + 7 = -8
-3x = -15
→Divide both sides by -3:
x = 5
I need some help with this question.
The points (-11, r) and (-7,5) lie on a line with slope
3
4
Find the missing coordinate r.
Answer:
r = 2
Step-by-step explanation:
Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)
m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )
5 - r = 3 ( subtract 5 from both sides )
- r = - 2 ( multiply both sides by - 1 )
r = 2
14. question in attachment
[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]
Can someone please help me ASAP
Answer:
A) 144 FT B) 300
Step-by-step explanation:
{ Area= L x W
Area= 12 x 12
Area= 144 }
{ 6x2=12
12x25= $300
6-5 solving rational equations 8/x+3=1/x+1
Answer:
x = -5/7
Step-by-step explanation:
8/(x+3)=1/(x+1)
Using cross products
8*(x+1) = 1*(x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x+3-x
7x +8 =3
Subtract 8 from each side
7x+8-8 = 3-8
7x = -5
Divide by 7
7x/7 = -5/7
x = -5/7
Find the slope of the line that passes through the pair of points (10/17,2/17) and (9/17,13/18) a.-18/185 b. -185/18
Answer:
b) -185/18
Slope of the line [tex]m = \frac{-185}{18}[/tex]
Step-by-step explanation:
Explanation:-
Given two co-ordinates are
[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]
[tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]
On simplification, we get
[tex]m = \frac{-185}{18}[/tex]
Solve for the variable: 4x + 8 = 112 Question 2 options: 26 120 30 104
The answer to this problem is 120
Factor completely 40xy2 − 36x2y. (4 points)
4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)
Answer:
4xy(10y - 9x).
Step-by-step explanation:
40xy2 − 36x2y
The Greatest Common Factor (GCF) of 40 and 36 is 4.
GCF of x and x^2 is x,
GCF of y^2 and t is y.
So GCF = 4xy.
and the factors are:
4xy(10y - 9x).
Which is the coefficient in the expression 7x + 14?
Answer:
coefficient is x
Step-by-step explanation:
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What do I do that will help me remember what I should do for problems like this