Answer:
Step-by-step explanation:
a). When graph w(x) is transformed to r(x) = 4 × w(x), graph of w(x) is vertically stretched by a scale factor of 4.
Table for the corresponding points will be,
x w(x) r(x)
0 0 0×4 = 0
15 60 60×4 = 240
30 120 120×4 = 480
45 180 180×4 = 720
b). As discussed in part (a), graph of w(x) will be vertically stretched by a scale factor of 4 to produce the graph of r(x).
c). Since, w(x) = 4x
and r(x) = 4[w(x)]
r(x) = 4(4x) = 16x
r(x) = 16x
It takes 12 hours to fill a pool with the inlet pipe. It can be emptied in 15 hours with the outlet pipe. If the pool is 1/2 full to begin with, how long will it take to fill it from there if both pipes are open?
Answer:
12x15=100
Step-by-step explanation:
Its times because I know it
Please help me!
If you wanted to find the difference of 6/25 - 4/5, what common denominator should you choose? Why?
Answer:
Choose 1/25 as the common denominator
Step-by-step explanation:
1/25 is the lowest number that both existing denominators can be factored into.
6/25 would remain the same.... 6/25
4/5 would become 20/25..... multiply the top and bottom by 5
So 6/25 - 20/25 = - 14/25
Enter an equation in standard form to model the linear situation. A bathtub that holds 41 gallons of water contains 11 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
3x-2y=4
2x+3y=7
X=?
Y=?
Plz step by step
Answer:
x= 2
y= -1
Step-by-step explanation:
Simultanous equation(elimination method)
STEP 1: multiply the number near x with the opposite equation.
in this case in equation 1, three is near x so u multiply it with the second equation.
2(3x-2y=4)
3(2x+3y=7)
you get 6x-4y=8
6x+9y=21
STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign
6x-4y=8 <-------- 1st equation
6x+9y=21 <-------- 2nd equation
SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21
STEP 3: Now do the elimination part and calculation
+6x-4y=8
-6x-9y= -21
___________
0x-13y= 13
NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE
STEP 4: Solve for y
now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y
-13y= 13
y= 13/-13
y= -1
STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation
ORIGINAL EQUATION: 3x-2y=4
3x-2(-1)=4
3x-2=4
x= 6/3
x= 2
NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER
Answer:
x=2, y=1
Step-by-step explanation:
3x-2y=4
2(3x-2y)=2(4)
6x-4y=8
2x+3y=7
3(2x+3y)=3(7)
6x+9y=21
6x+9y-(6x-4y)=21-8
6x+9y-6x+4y=13
13y=13
y=13÷13
=1
3x-2y=4
3x-2(1)=4
3x=4+2
=6
x=6÷3
=2
Hence, x=2 and y=1.
2=8−6/4x help please yall whats the x
Answer:
x= 4
Step-by-step explanation:
How to solve your problem
Topics: Algebra
2=8−1⋅64⋅
2=8-1 \cdot \frac{6}{4} \cdot x
2=8−1⋅46⋅x
Solve
Divide the numbers
2=8−1⋅64⋅
2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x
2=8−1⋅46⋅x
2=8−1⋅32
2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
Multiply the numbers
2=8−1⋅32
2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
2=8−32
2=8{\color{#c92786}{-\frac{3}{2}}}x
2=8−23x
Combine multiplied terms into a single fraction
2=8−32
2=8-\frac{3}{2}x
2=8−23x
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x
Find common denominator
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x 2 =2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
Combine fractions with common denominator
2=2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
2=2⋅8−3 2
2=\frac{2 \cdot 8-3x}{2}
2=22⋅8−3x
Multiply the numbers
2=2⋅8-3 2
2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}
2=22⋅8−3x 2=16−3 2
2=\frac{{\color{#c92786}{16}}-3x}{2}
2=216−3x
Rearrange terms
2=16−3 2
2=\frac{{\color{#c92786}{16-3x}}}{2}
2=2 16−3x 2=−3+16 2
2=\frac{{\color{#c92786}{-3x+16}}}{2}
2=2−3x+16
Multiply all terms by the same value to eliminate fraction denominators
2=−3+16 2 2=\frac{-3x+16}{2}
2=2−3x+16
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
Cancel multiplied terms that are in the denominator
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
2⋅2=−3+16
2 \cdot 2=-3x+16
2⋅2=−3x+16
Multiply the numbers
2⋅2=−3+16
{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16
2⋅2=−3x+16
4=−3+16
{\color{#c92786}{4}}=-3x+16
4=−3x+16
Subtract
16
from both sides of the equation
4=−3x+16
4−16=−3+16−16
4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}
4−16=−3x+16−16
Simplify
Subtract the numbers
−12=−3
Divide both sides of the equation by the same term
−12=−3
\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}
−3−12=−3−3x
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
= 4
Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4
Answer: Therefore, your equation of the function will be y = 4x – 4.
Step-by-step explanation:
HELP ASAP......find the slope of the line that passes through the two points (-44.42,5.1) and (4.42,4)
Answer:
m ≈ -0.225
Step-by-step explanation:
For points (-44.42, 5.1) and (4.42, 4)
slope = (y2 -y1)/(x2 -x1) = (5.1 -4)/ (-44.42 -4.42) = 1.1 / -48.44 ≈ - 0.225
Jon has 32 trading cards. He
puts the cards into piles of 8 cards. How many piles
does he make?
Answer:
4
Step-by-step explanation:
Take the number of cards and divide by the number of cards to determine the number of piles
32/8
4
There are 4 piles
Answer:
4 piles
Step-by-step explanation:
32 ÷ 8 = 4
8 cards in a pile. 8, 16, 24 ,32.
Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)
Answer:
The equation has 2 solutions
c = -12
c = 12
Step-by-step explanation:
Swap the sides
c² = 62 = 82
Simplify the equation
c² = 144
separate the solutions
c = ± 12
Solution
c = -12
c = 12
a) What is the equation of the function
b) Compare the graph to f(x)=2(x+1)^2
WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they received. SHOW YOUR WORK
Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50
Exam score 82 78 90 78 85 97 100 85 73 90 91 98
Use a graphing calculator to model the data using a linear function.
What is the correlation coefficient of the data?
−0.74
−0.48
0.93
0.98
Answer:
The answer is 0.93
Step-by-step explanation:
I took the test
rationalize the denominator of
[tex]4 \div \sqrt{x} + 2 \sqrt{y } [/tex]
Step-by-step explanation:
the answer is in the image above
a class has 28 students. The ratio of girls to boys is 4:3. How many girls
Answer:
let
no of girls be 4x & boys be 3x
or, 3x+4x=28
or, 7x=28
x=28/7=4
hence no of girls = 4x=4*4= 16
Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4
Answer:
d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided
Step-by-step explanation: 13/d
An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
9514 1404 393
Answer:
189
Step-by-step explanation:
The difference between the ratio units is 8 -1 = 7.
The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.
The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.
__
That was 168 child tickets and 21 adult tickets.
C: infinitely many solutions, help solve fast pls
Sarah is buying some school clothes.
She found a sweater she likes that costs $18.85 and some t-shirts that are on sale for $4 each.
She got several t shirts of different colors and spent a total of $54.85.
Which equation describes the situation where x is the number of t shirts?
Solve the problems. Write the complete proof in your homework and for online (only) respond to questions or statements (if any) that are parts of your proof or related to it.
Step-by-step explanation:
Well we know that ZACB=LABC because
AABC is isosceles, so base angles theorem applies.
m<ACB=70°
So mzDCE=m/DEC-35° because of base angles theorem, and because mzDCE=m/ACB-m<ECB=70°-35°
Finally, DE || CB because the alternate interior angles ECB=<DEC
Find the surface area and the volume of the prism .
Answer:
Surface area is 1140cm^2
Volume is 1800 cm^3
Step-by-step explanation:
12x5=60x2=120
5x6=30x2=60
20x6=120x8= 960
120
60
+960
1140
12x20=240x10=2400
5x6=30x20=600
2400-600=1800
Please help! The girls' gym teacher needs to purchase
15 softballs, 5 packages of tennis balls,
and 2 soccer balls. She plans to collect
$1 from each of her 15 students to help
pay for the balls. Write and evaluate an
expression to show how much more the
teacher will have to pay.
The. Problem I in the picture
Answer:
can't see it clearly sorry about that
Increase £15837.77 by 18.5% Give your answer rounded to 2 DP.
Answer:
£18, 767.7574
Step-by-step explanation:
15837.77 x 18.5%=2,929.98745
15837.77 + 2,929.98745= 18, 767.7574
Hope this helps! Please ask me freely if you have any questions regarding this.
Answer:
Step-by-step explanation:
100+18.5=118.5
15837.77×118.5 %=18767.75745≈18767.76
2 1/7 x 1/3 in lowest terms??
Help please
25 points for the right answer
Answer:
5/7
Step-by-step explanation:
2 1/7 x 1/3
= 15/7 × 1/3
= 15 × 1/7 × 3
= 15/21
= 15 ÷ 3/21 ÷ 3
= 5/7
Can you help please.?
Answer:
2.33yd or 2 1/3yd
Step-by-step explanation:
7/3=2.33
HELP PLSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
I need help in that too :(
Answer:
1 true
2true
3 false
4 false
Step-by-step explanation:
Which of the following is true when constructing a line graph?
Each axis has even spacing.
Each point represents a data pair.
The vertical axis shows increments of time.
The scale starts at the minimum value and goes to the maximum value. please help fast!!!!
Answer:
B
Step-by-step explanation:
Answer:
Each axis has even spacing.
Each point represents a data pair.
I took the test
Estimate the sums and difference of 38.12 + 12.24 and round to the nearest tenth
Answer:
50.4
Step-by-step explanation:
38.12 + 12.24 = 50.36
6 is near 10
50.36 = 50.4
How many groups of 2/3 are in 3/5
To find the answer, we will need to divide 3/5 by 2/3.
3/5 / 2/3
3/5 x 3/2
9 / 10
There are 9/10 groups of 2/3 in 3/5.
Hope this helps!! :)
y-3=1/6(x-6)
................
Answer:
answer is y=1x/6 +2. or y= X+ 12/6
Step-by-step explanation:
y-3 = 1/6(x-6)
y-3= 1x/6 -1
y = 1x/6 -1+3
y. = 1x/6 +2. or y= X+ 12/6
What is
(1/2)^2- 1/2 -6
.
Answer:
-6.25 tI am not sure if this can help you but this is what I got