Answer:
f(x) = (1/2)x
Step-by-step explanation:
f(x) = mx + b
m is the slope
b is the y-intercept
m = rise/run
for every run of 2 in x
f(x) rises 1
m = 1/2
The y-intercept occurs when x = 0
from the table f(0) = 0
b = 0
Therefor
f(x) = (1/2)x + 0
f(x) = (1/2)x
Answer:
[tex]f(x) = 1/2*x[/tex]
Step-by-step explanation:
Linear functions are functions of the form "f(x) = a * x + b" where 'a' and 'b' are constants (numbers) and x is the input.
In this problem, you are given the inputs and outputs of the function. Since you know it is linear, you begin thinking about what number you can multiply on the left to get the value on the right.
-4 / 2 = -2
-2 / 2 = -1
0 / 2 = 0
We find that dividing x by 2 gives the correct output. Dividing by 2 is the same as multiplying by 1/2. Therefore, we have found the answer!
f(x) = 1/2 * x
48,000 is borrowed for 13 years. if the interest on the loan is 56,703.96, find the monthly payment
Answer:
130542
Step-by-step explanation:
FV=48000(2.7196)
FV=130542
Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30
Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.
What is a system of equations?A system of equations is called simultaneous equations.
Simultaneous equations are two or more equations solved concurrently.
Shop A Shop B
The number of cars already repaired 55 30
The number of cars repaired per week 5 10
Let the number of cars repaired by Shop A in w weeks = 5w + 55
Let the number of cars repaired by Shop B in w weeks = 10w + 30
For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30
5w - 10w = 30 - 55
-5w = -25
w = 5
Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.
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9 is multiplied by the cube of a number.
Answer:
81
Step-by-step explanation:
9×9=81
also known as 9²
Math pls I need help
Answer:
24
Step-by-step explanation:
First of all to check whether a number is divisible by 3 or not. We have to add the numbers and if the result is divisible by 3. Our number is divisible by 3 (no doubt). So 72 (7+2=9 is divisible by 3) ÷3 = 24
Who many can fill it ?
Answer:
6×3×4= 72 unit cubes
................................
divide 81 ft in the ratio 5 :4
Answer:
Rr = 51 : 68
Step-by-step explanation:
At the football game, 3 hamburgers and 6 soft drinks cost $24, and 4 hamburgers and 3 soft drinks cost $22. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answer: it would be A
Step-by-step explanation:
x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
4x
And the cost of 6 soft drinks can be represented with this expression:
6y
The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation
3x+6y=24
The following expression represents the the cost of 3 soft drinks:
3y
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
4x+3y=22
20 POINTS !!
x^2+y^2+2x+2y=0
x^2+y^2+2x+6y+9=0 solve each system using substitution
Will mark brainlyest if steps are provided
Answer:
Step-by-step explanation:
x²+y²+2x+2y=0 ...(1)
x²+y²+2x+6y+9=0 ...(2)
subtract (1) from (2)
x²+y²+2x+6y+9-(x²+y²+2x+2y)=0
x²+y²+2x+6y+9-x²-y²-2x-2y=0
4y+9=0
4y=-9
[tex]y=-\frac{9}{4}[/tex]
put in (1)
[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]
solution is ((√7-4)/4,-9/4)
and ((-√7-4)/4,-9/4)
Sketch the graph of each line by identifying the x-and y-intercepts.
Answer:
Slope: -5/3 , Y-intercept: (0,5)
Step-by-step explanation:
Vote brainliest!
PLEASE HELP MEEEEEEEE
no links allowed please)What is the value of the expression 17.36 ÷ 2.8?
5.2
6.2
7.2
8.2
Answer:
7.14
Step-by-step explanation:
Help meeeeeeeeeeeeee asapppp
15 metres at a speed of 20 cm/s (answer in seconds) a
Here's the perfect answer.
PLEASE MARK ME BRAINLIEST
What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?
Answer:
y=4x+6
Step-by-step explanation:
(3^-2 × 4^-2)^-3 = 12^x
In the given expression find the value of x.
Given that (3^-2×4^-2)^-3 = 12^x
⇛ [(3×4)^-2]^-3 = 12^x
Since a^m × b^m = (ab)^m
⇛(12^-2)^-3 = 12^x
⇛ 12^(-2×-3) = 12^x
Since (a^m)^n = a^mn
⇛ 12^6= 12^x
⇛6 = x
Since the bases are equal then exponents must be equal
Therefore,x = 6
Additional comment:-
If the bases are equal then exponents must be equal.
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Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.
Will pick brainliest answer, thank you :)
Answer:
15) (1, 1) and (-1, 1)
16) (1, 2) and (-1, 2)
17 (1,1/2) and (-1, 1/2)
18) (1,1/4) and (-1, 1/4)
19) 16 is vertical stretch, 17 and 18 is vertical compressed
Step-by-step explanation:
for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1
so y is the "a" value in the equation y=ax²
for qs 19
y=ax²
so if a>1 -- then vertical stretch
when 0<a<1 -- then vertical compressed
Help me please........
Answer:
28 6
Step-by-step explanation:
count by four and six
How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
9514 1404 393
Answer:
x-intercepts: -2, +1/2y-intercepts: ±√2Step-by-step explanation:
You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.
An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...
0 = 2 -3x -2x^2
x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2
(x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square
(x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square
x +3/4 = ±5/4 . . . . . . . take the square root
x = -3/4 ±5/4 = -8/4, +2/4
The x-intercepts are -2 and +1/2.
__
A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...
y^2 = 2 -0 -0
y = ±√2
The y-intercepts are -√2 and +√2.
_____
A graphing calculator can give you a good idea of what the intercepts are.
Two step equation, I don’t know how to do the problem step by step. 3x+9=5. I know that the answer is -1 1/3 but I don’t know how
Answer:
Below
Step-by-step explanation:
1. 3x+9=5
2. 3x+9-9=5-9
3. 3x=-4
5. 3x/3=-4/3
6. -4/3
7. -1 1/3
Answer:
The answer is -4/3 or - 1 1/3
Step-by-step explanation:
3x+9= 5
-9 -9
3x = -4
/3 /3
Y= -4/3 or [tex]-1\frac{1}{3}[/tex]
Step 1: Add subtract 9 to both sides because you want to cancel out the 9 so you do the opposite of what is say's. For example, if it says 3x-9 add 9 or 3x+9 subtract 9 from both sides.
Step 2: Add subtract 9 to 5 which would be -4. So you should have 3x= -4 now
Step 3: Since you're "multiplying" 3 to x you're going to divide 3 to get Y by itself. So 3/3 cancels out and now you're left with y
Step 4: Divide 3 from -4 and you get -4/3
Let me know if you have any questions and I hope this helps :)
If the 10 musical acts for the winter show are randomly selected, what is the probability that
all of the electric acts get to play in the show?
Answer:1001
Step-by-step explanation:
Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1
−
2
x
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
is the line are perpendicular then the product of there slope is -1
the slope of the first equation is 2
Step-by-step explanation:
m1+m2=-1
2+m2=-1
m2=-1-2
m2=-3
so the second equation became y=-3x+C
then insert the point (-1,2)
2=-3*-1+C
2=3+C
C=2-3
C=-1
so y=-3x-1
Hope that helps
HELPP it’s angles of a triangle much appreciated !
Answer:
The coastline of alaska is longer than the entire coastline of the lower forty-eight states
A color printer prints 23 pages in 10 minutes. How many minutes does it take per page?
solve pls brainliest
Answer:
Step-by-step explanation:
x= cost per gallon
10x=23
x=2.3
2.3*15= 34.5
Complete #25 (MUST SHOW WORK)
use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____
Given: x=6
By substituting value of x as 6 in the given expression, we get:
[tex]f(6) = {x}^{3} - 6x + 1[/tex]
[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]
[tex]→f(6) = 216 - 36 + 1[/tex]
Now, using integer sign property,
[tex]→f(6) = 216 - 35[/tex]
[tex]→f(6) = 181[/tex]
Therefore, f(6)=181
P = y² + 2z find the value of P if y = 3 and z = -4
Answer:
[tex]P = {y}^{2} + 2z \\ = {3}^{2} + 2( - 4) \\ = 9 - 8 \\ \color{red} \boxed{P =1}[/tex]
Answer:
P = 1
Step-by-step explanation:
P = [tex]y^{2}[/tex] + 2 (-4)
P= [tex]3^{2}[/tex] + -8
P = 9 + -8
P = 1
Hope this helps!
if x/2=6.5 what is x
Answer: 13
Step-by-step explanation: 6.5 x 2=13
Answer:
x=13
Step-by-step explanation:
13/2=6.5
Find the reference angle for -369°
a.
9°
c.
99°
b.
81°
d.
171°
Please select the best answer from the choices provided
A
B
C
D
Answer:
A. 9
Step-by-step explanation:
Select the correct answer from each drop-down menu.
What is the distance and midpoint between points D and E on the number line?
Invention of the distance options
6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Answer:
4.2
0.6
Step-by-step explanation:
The distance and midpoint between points D and E on the number line 4.2 and 0.6
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
We need to find the distance and midpoint between points D and E on the number line.
Invention of the distance options; 6.2, 2.6, 4.2, 0.6
Midpoint options 0.6, 0.3, 1.2, and 0.1
Here the distance between points D and E on the number line
= 4.2
Thus, the midpoint between points D and E on the number line = 0.6
Hence, the distance and midpoint between points D and E on the number line 4.2 and 0.6
Learn more about midpoint here;
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Given trapezoid WXYZ, what is XY?
Answer:
XY = 16 ft
Step-by-step explanation:
The mid segment DE is half the sum of the parallel bases, that is
[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )
XY + WZ = 40
XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )
2XY + 3XY = 80
5XY = 80 ( divide both sides by 5 )
XY = 16