Create a graph of the combined function h(x) = f(x) / g(x) in which f(x) = x - 6 and g(x) = x + 6. On your graph, show the graphs of f(x) and g(x) also.
Answers
Answer:
we have
f(x)=x-6f(x)=x−6 -----> equation A
This is a linear equation with slope m=1m=1 and a y-intercept equal to -6−6
g(x)=x+6g(x)=x+6 -----> equation B
This is a linear equation with slope m=1m=1 and a y-intercept equal to 66
The function f(x) and g(x) are parallel lines
we know that
h(x)=f(x)+g(x)h(x)=f(x)+g(x)
Substitute
h(x)=x-6+x+6h(x)=x−6+x+6
h(x)=2xh(x)=2x
This is a linear equation with slope m=2m=2 that passes through the origin ( represent a direct variation)
Using a graphing tool
see the attached figure
Related Questions
SOMEONE PLZ PLZ HELP ASAP
Answers
Tiffany sees this given dilation and claims that the scale factor is 2
because 4 is twice as big as 2. Is this a scale factor of 2? Explain.
Answers
Answer:
The scale factor is not 2
Step-by-step explanation:
Given
See attachment for the dilated triangles
Triangle ABC is dilated through center point O to form triangle A'B'C'.
From the attachment, we have:
[tex]OC = 2[/tex] i.e. the distance from the center point to C
and
[tex]OC' = 6[/tex] i.e. the distance from the center point to C'
The length of OC' is calculated using:
[tex]OC' = OC + CC'[/tex]
[tex]OC' = 2 + 4[/tex]
[tex]OC' = 6[/tex]
The scale factor (k) is then calculated by dividing OC' by OC
[tex]k = \frac{OC'}{OC}[/tex]
[tex]k = \frac{6}{2}[/tex]
[tex]k = 3[/tex]
Hence, Tiffany's claim is incorrect.
A line segment has the endpoints P(4, 7) and Q(6, 7). Find the coordinates of its midpoint M.
Write the coordinates as decimals or integers.
Answers
Answer:
(5, 7)
Step-by-step explanation:
M = (x1 + x2/2 , y1 + y2/2)
M = ( 4 + 6 /2 , 7 + 7 / 2)
M = 5, 7
First to answer gets brainliest
Answers
Answer:
Last one
Step-by-step explanation:
Answer:
the answer is c I believe
CAN SOMEONE PLEASE HELP MEEEE!!!!
Answers
Question:
In triangle TUV, the measure of angle V = 90°, TV = 56, UT = 65, and VU = 33. What is the value of the tangent of angle U to the nearest hundredth?
_________________________________________________
Solution:
The triangle should look like that in the attachment.
Tangent of U = opposite side/adjacent side.
= 56/33
= 1.69696969.....
Rounding off to nearest hundredth,
= 1.697
A package of 19 medicated cough drops costs $0.99. What is the unit cost?
Answers
Answer:
0.05
Step-by-step explanation:
Answer:
D $0.05 per cough drop
Step-by-step explanation:
divide .99 by 19 you get 0.05210526
DUE SOON
Jenna found that 12 out of 18 people prefer French fries over potato chips.
If Jenna were to survey 54 more people, how many would probably prefer
French fries?
Answers
Answer:
About 36
Step-by-step explanation:
12/18 =.67
.67x54=36
Answer=36
Please answer thissssss!
If you help I’ll give you 5 stars?
Answers
Answer:
I am pretty sure its 68
Step-by-step explanation:
10 * 2 + 18 * 2 + 6 * 2
The area of Mrs. Rush’s rectangular room is 3x2+31x+36. Find the length, width and perimeter.
Answers
hello so the answer is 3147831740.3424
which list shows the bacteria cells in order from least to greatest diameter?
Answers
Answer:
A
Step-by-step explanation:
Can someone help me pls
Answers
Answer:
Add the two equations together to eliminate x from the system.
(−6x+6y=6)+(6x−3y=12)=(3y=18)
Divide each term by 3 and simplify.
y=6
Substitute the value found for y into one of the original equations, then solve for x.
x=5
The solution to the independent system of equations can be represented as a point.
(5,6)
The result can be shown in multiple forms. Point Form: (5,6)
Equation Form: x=5,y=6
Step-by-step explanation:
Identify the key features of the graph of
the function y = x^2 - 2x + 6
Answers
Answer:
The vertex of the parabola is at (1,5), opens upwards, the y-intercept is at (0,6), and the axis is at y=1
Step-by-step explanation:
Help as soon as possible!!
Answer only if you know!
At least answer one of them!
Answers
Answer:
1. 3x²+5x-14/(3x-5)(x-1)
2. x=1.23013 and -1.8968
Step-by-step explanation:
cooking like a chef I'm a 5 star michelin :)
Can y’all help me please
Answers
Answer:
24, 4, 48, 7
Step-by-step explanation:
First, note that 1 cup = 8 fluid ounces.
(we also know this because on the right, it says that 8 cups = 64 ounces. If we divide both sides by 8, we find that 1 cup = 8 ounces)
If you want a formula, we can write that
x cups = 8x ounces
By dividing both sides by 8, we can also find that
(1/8x) cups = 1 ounce
Now, let's use those formulas and plug in the numbers
3 cups = 3*8 ounces
3 cups = 24 ounces
32 * (1/8) cups = 32 ounces
4 cups = 32 ounces
6 cups = 6 * 8 ounces
6 cups = 48 ounces
56 * (1/8) cups = 56 ounces
7 cups = 56 ounces
I hope this helps! Feel free to ask any questions!
The point F(-1, 1) is reflected over the y-axis. What are the coordinates of the resulting point, F′?
F= ?
Answers
Answer:
F= (1, 1)
Step-by-step explanation:
Reflecting over y-axis means y will not change and x will be positive
Justin Verlander had 300 pitches in 20 innings. How many pitches did he make in 1 inning?
Answers
Answer:
15 pitches
Step-by-step explanation:
To find how many pitches he'll make in one inning, divide 300 by 20:
300/20
= 15
So, in 1 inning, he'll make 15 pitches
HELP ME! WILL MARB BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. THANK YOU AND GOD BLESS.
2. Given triangle PQR where P(4,1),Q(a, 2a) and R(3,4). Solve for a if the equation of the altitude to side QR is y = −x + 6. You may want to draw a diagram.
Answers
9514 1404 393
Answer:
a = 1
Step-by-step explanation:
The altitude is perpendicular to line QR, so point Q lies on a line through R that is perpendicular to the given altitude line. The given altitude line has a slope of -1. This means line QR will have a slope of 1, so the line QR in point-slope form is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -4 = 1(x -3)
Since point Q(a, 2a) is on this line, its coordinates will satisfy this equation.
2a -4 = a -3
a = 1 . . . . . . . . add 4-a to both sides
_____
The line with slope 2 on the attached diagram is the locus of all possible points Q. The one of interest is the one that is on the perpendicular through R.
__
Additional comment
In order for a line to be an altitude to side QR, it must go through point P. The given line (y=-x+6) does not go through point P. We assume that the line y=-x+5 is the one that is intended.
A student is saving money to buy a video game system. She has already saved some money and will continue saving the same amount of money each week. If the equation 200=20x+60 represents the student's savings for the video game system, what does x=7 represent?
the number of weeks she needs to save
the total price of the video game system
the amount of money she has already saved
the amount of money she still needs to save
Answers
Answer:
the number of weeks she needs to save.
CORRECT ANSWERS GET BRAINLIEST
DON"T COMMENT JUST TO GET POINTS, LOOK AT THE PHOTO!
Answers
Answer: C
Step-by-step explanation:
i may be wrong though
Answer:
This one is B as well
Step-by-step explanation:
Hope This Helps :)
Amber and her two friends shared 1/2 of a pepperoni pizza. if they share the pizza equally what fraction of the pizza will each person get?
Answers
Answer:
They each will get 1/3
Step-by-step explanation:
What Theorem do you use to find the length of a missing side on a right triangle?
Answers
Hope this helps !
Please mark it as the brainliest <3
At Jon's Hats, there are 1 baseball cap and 9 other hats. What percentage of the hats are
baseball
Answers
Answer:
10%
Step-by-step explanation:
There are 10 hats total, one of them being baseball. You can put this into a fraction: 1/10. Divide that fraction and you get 0.1, or, 10%
. Shelby, Brandon, and Ling shared the cost
of their spring break trip to the bean in the ratio of 2:53. Altogether the trip cost $250. What
was Ling's share of the trip? (How much did Ling pay?)"
Answers
Answer:
$75
Step-by-step explanation:
Assuming your ratio is 2:5:3 instead of 2:53,
Ling paid 3/10(250) which is $75
A sculpture is 67 centimeters tall. What is the height of the sculpture in millimeters? 1.Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
6.7 millimeters
67 millimeters
6,700 millimeters
670 millimeters
2.Margo studied for 20 minutes. How many seconds did she study?
1,200 seconds
800 seconds
620 seconds
120 seconds
3.How many liters are equal to 5,890 milliliters? Use the placement of the decimal point when dividing by a power of 10 to help you solve.
5.89 liters
58,900 liters
58.9 liters
589 liters
Answers
exlplantion: for the first one you multiply by 10 and the second you multiply 20 by 60 and the last one you divide 5890 by 1000
Answer:
A: 5.89 liters
Step-by-step explanation:
I got it correct on a quiz I did that had this question.
Help me pls pls pls help pls pls pls
Answers
Answer:
Triangle 1: 9
Square: 57.76
Triangle 2: 20.91
Step-by-step explanation:
Square area formula: area=[tex]side^{2}[/tex]
Triangle: area=[tex]\frac{height x base}{2}[/tex]
HELP CORRECT ANSWER GETS BRAIN AND 5 STARS!!
Answers
Answer:
D
Step-by-step explanation:
I'm too dum to answer this, so I need help.. Thanks!
Answers
Answer:
same so hard too.......
Answer:
yes as it seem to be easy ain't it so hard
3x2 - 4x –
6 = 0. Round to the nearest tenth.
Answers
Answer:
are dum % _%
Step-by-step explanation:
½×10×8.2 explain with answer
Answers
Take 10 * 8.2 (Easier this way)
You get 82.
Take 82 *1/2 (or divide by 2)
You get 41.
Answer:
41
Step-by-step explanation:
1/2 x 10 x 8.2
We will convert the decimal to fraction first
1/2 x 10 x 41/5
Then we will reduce the numbers with the greatest common factor (5)
5 x 41/5
We will remove the fives since they are the common factors
And we will remain with the answer 41
(repost) Can someone please help me with this asap!!!
Answers
Answer:
1) y = 30x (same thing as y = 30x + 0)
2) y = 24x (same thing as y = 24x + 0)
3) 270
4) 216
Step-by-step explanation:
Hope this helps :)