Answer:
Graph of the new function will be vertically stretched by 2 units.
Step-by-step explanation:
A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]
This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4
If this function is stretched vertically by 'k' the the equation of the new function will be,
y = [tex]a(\frac{1}{3})x+ 4[/tex]
y = [tex]\frac{a}{3}x+4[/tex] ---------(1)
If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],
New equation of the function will be,
y = [tex]\frac{2}{3}x+4[/tex] ---------(2)
Comparing equations (1) and (2),
a = 2
Therefore, graph of the new function will be stretched vertically by 2 units.
Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)
Answer:
Given that you're providing only a single term, asking for a difference doesn't make a lot of sense. I assume you're asking to have the expression simplified?
If so, then it can be reduced to (x - 17) / 3x
Step-by-step explanation:
You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator. Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.
After that you can group the terms into one fraction and simplify:
[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]
Answer:
The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Step-by-step explanation:
We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
Simplifying to find the difference:
[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
x is common in both 3x and x^2 so, we can cancel it out and we get:
[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]
Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:
[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]
It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.
So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
A t-shirt costs $12. You have a 25% off coupon. How much will the t-shirt cost?
Answer:
The shirt would be $9 dollars because $3 dollars is 25% of 12.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
25%=/4
12/4=3
3*3to get 75%=9
help me, please
. Which rate is about the same as 45 miles per hour?
A. 95 kilometers per hour
B. 72 kilometers per hour
C. 56 kilometers per hour
D. 32 kilometers per hour
Answer:
Option B.
Hey there!
According to the question,
45 miles per hour is given.
Then;
1 mile = 1.60 km
45 miles = 1.60*45
= 72 km.
Therefore, 45miles is equal to 72 km.
Hope it helps....
Jenny wants to save $900 to go to Puerto Rico. She saves $45 each week. Her brother gives her $180. Write an equation to find how many weeks she must save. (I need the equation)
Answer:
45x + 180 = 900
x being number of weeks
Step-by-step explanation:
The equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
The amount of money Jenny saved each week = $45
The amount her brother gives = $180
Total amount Jenny wants to save = $900
Let's suppose the number of weeks is x
180+45x = 900 (as she has already $180 and each week she saves is
$45)
So from the above equation, we can find the number of weeks.
After solving the equation:
45x = 900 - 180
x = 16 weeks
Thus, the equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Which is the best estimate of the mass of a skateboard.
a 3 liters
b 3 kilograms
c 30 grams
d 3 grams
Answer:
3 kilograms
Step-by-step explanation:
one is for liquids and the others are too small i think
What is X?*
7x - 4
5х + 12
8
10
52
64
Answer:
x = 8
Step-by-step explanation:
You know that 7x - 4 and 5x + 12 are equal, so you can set up an equation and solve it:
[tex]7x - 5 = 5x + 12[/tex]
subtract 5x from both sides
[tex]2x-4=12[/tex]
Add 4 to both sides
[tex]2x = 16[/tex]
divide both sides by 2
[tex]x = 8[/tex]
Answer:
7x - 4......1
5х + 12......2
on multiplying by 3 in eq 1
= 21x-12...3
on substracting eq 2 from 3
21x-12=0
-5x+12=0
=16x=0
x=1/16
sorry but I can't find your answer
but I tried...
f(x) = -3x^2
Find f(-2)
9514 1404 393
Answer:
f(-2) = -12
Step-by-step explanation:
Put -2 where x is and do the arithmetic.
[tex]f(x)=-3x^2\\\\f(-2)=-3(-2)^2=-3\cdot4=\boxed{-12}[/tex]
Find the length of the segment with the end points (4,-3) and (7, 1) distance bridge math
A, B & C form a triangle where ∠ BAC = 90°. AB = 4.3 mm and CA = 3.1 mm. Find the length of BC give your ANSWR rounded to 1 DP
Answer:
4.3^2+3.1^2= square root of 28.1= 5.3
Step-by-step explanation:
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers.
a) set up the variables
Let _______ represent the first number Then _______ will represent the second number.
b) What is the equation that represents the above situation? c) Solve the equation.
Answer:
34 and 17
Step-by-step explanation:
x+y=51
2y=x
2y+y=51
3y=51
y=17
2(17)=x
x=34
1) Castel and Rob are selling cheesecakes for a school fundraiser. Customers can buy New York style
cheesecakes and apple cheesecakes. Castel sold 5 New York style cheesecakes and 6 apple cheesecakes
for a total of $85. Rob sold 6 New York style cheesecakes and 6 apple cheesecakes for a total of $90.
What is the cost each of one New York style cheesecake and one apple cheesecake?
Answer:
new York cheese cake $5
Apple cheese cake $10
ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC
Answer:
BEC°
Step-by-step explanation:
complementary means "to add up to 90°"
90° - 34° = 56°
the Z confused me for a bit, then figured out you tried to type in the angle sign.
Evaluate the expressions.
3 + x, when the value of x is 15.
Answer:
18
3+x (x=15)
so
3+15 =
18
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.
Answer:
n=4
Step-by-step explanation:
7n - 4 = 24
24 + 4 = 28
7n = 28
n = 4
OR plug in the sets you gave and see if they equal 24
I
Write an equation of the line passing through the point (2, 3) and
PERPENDICULAR to the line y = -2x + 2.
Answer:
y= 1/2 x +7
the slope is 1/2 since hwne it's perpendicular, it's reciprocal and the sign also changes
Step-by-step explanation:
3= -4 +b
b= 7
Please help me out if you answer you get brainliest and 50 points
Step-by-step explanation:
I believe month 10!! Hope this helps (and may not be correct)
Answer:
I KNOW THAT IN MONTH 4 THE VALUE PASSES THE GRADES FOUNDATION
A system of equations is: x = 10 and 3x + 5y = 20. In the system of equations, what is the value of y?
Answer:
2-
Step-by-step explanation:
[tex]x = 10 \\ 3(10) + 5y = 20 \\ 30 + 5y = 20 \\ 5y = - 10 \\ y = - 2[/tex]
tell whether each figure is a polygon. if it is a polygon, name it by the number of each sides.
Answer:
We know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
Step-by-step explanation:
It is clear that the given figure contains:
5 sides5 anglesA closed 2D shapeWe know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
Please also note that the sum of interior angles in a Pentagon is 540°
3 pts
Solve the exponential equation. Round your answer
to the hundredths.
3 (2") = 48
Help plz
Answer:
22.5
Step-by-step explanation:
You subtract 3 from both sides and then divide 2 from both sides which should look like this
3(2x)=48
-3 -3
2x=45
-:- 2
x=22.5
WILL MARK BRAINLIST PLSSSSSSSSS
Answer:
Answer
Step-by-step explanation:
I believe it is the first or second choice. I believe it is the first choice, but it could be the second one.
Sorry hope it helps.
Write 19/4 as a decimal
Find the slope of the line
Answer:
10??? sorrybi have no idea
PLEASE PLEASE HELP I AM TIMED! What is the domain and range of the function?
Answer:
Domain is; d is a set of non - zero integers.
Range will be p(d) for values of; d > 0 or d < 0
Step-by-step explanation:
In Mathematics, the domain is the set of all input values in a given function while range is the set of output values for each given input function.
Thus, looking at the function given;
p(d) = -(28.2/d) + 0.859
It is clear that if d = 0, we will have an undefined solution as any number divided by zero is undefined.
Thus, the domain is; d is a set of non - zero integers.
Range will be p(d) for values of; 0 < d < 0
jun swims 18 laps and Mara swims 25 laps. How many fewer laps did Jun swim than Mara ?
Answer:
7
Step-by-step explanation:
All you have to do to solve this is subtract 18 from 25
Answer:
7
Step-by-step explanation:
25-18=7
The point A(−3,−8) is reflected over the point (2,0) and its image is point BB. What are the coordinates of point B?
Answer:
(7,8), i'm quite certain
8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
Answer:
I'm sorry but I have no clue. Actually I think it's C.
Step-by-step explanation:
Conjecture: Any 2 circles in the plane are congruent. Do you agree or disagree
with the conjecture? If you agree, explain how you know. If you disagree, edit the
conjecture so it will always be true.
Answer:
Any 2 circles in the plane are similar.
Step-by-step explanation:
No, I disagree.
Any 2 circles in the plane are congruent only when their diameters have equal length.
Any 2 circles in the plane are similar.
Please answer this question
PLEASE HELP!!
what is true about the graph of the line y= -3x + 4?
a) the line has a slope of 4
b) the line has a slope of -4
c) the line crosses the y-axis below the origin
d) the line crosses the y-axis above the origin
Answer:
d) the line crosses the y-axis above the origin
Step-by-step explanation:
your welcome