Find the x-intercept and y-intercept of the graph of the equation 2y = 3x - 6.
Answers
Given:
The equation is:
[tex]2y=3x-6[/tex]
To find:
The x-intercept and y-intercept of the graph of the given equation.
Solution:
We have,
[tex]2y=3x-6[/tex]
Substitute [tex]y=0[/tex] to find the x-intercept.
[tex]2(0)=3x-6[/tex]
[tex]0+6=3x[/tex]
[tex]\dfrac{6}{3}=x[/tex]
[tex]2=x[/tex]
So, the x-intercept of the graph of the given equation is 2.
Substitute [tex]x=0[/tex] to find the y-intercept.
[tex]2y=3(0)-6[/tex]
[tex]2y=-6[/tex]
[tex]y=\dfrac{-6}{2}[/tex]
[tex]y=-3[/tex]
So, the y-intercept of the graph of the given equation is -3.
Therefore, the x-intercept is 2 and the y-intercept is -3.
Related Questions
Naomi requires 2.75 pounds of cream cheese for a cake. She has 4 ounces of cream cheese. Cream cheese is available in the store in blocks. Each block is 8 ounces. What is the minimum number of blocks of cream cheese Naomi has to buy? (1 point) 3 4 5 6
Answers
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
total ounces needed = 2.75 x 16 = 44 pounds
Ounces of cake she needs = 44 - 4 = 40
Minimum blocks needed = ounces needed / ounces of each block
40 / 8 = 5
evaluate 999^3 by using suitable identity
Answers
The answer is:
999^3 = 997002999
What is the inverse of the function f(x) = 169x2 when x > 0?
Answers
Answer:
y = (√x)/13 for x > 0
Step-by-step explanation:
Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation. The graph consists of the right-hand half of the parabola 169x^2. Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test. If x is restricted to (0, infinity), a horizontal line intersects this graph only once. Therefore, this function has an inverse.
1. Replace 'f(x)' with 'y:' y = 169x^2
2. Interchange x and y: x = 169y^2
3. Solve for y: y^2 = x/169, or y = (√x)/13 for x > 0
find the area of the irregular figure. 4 in. 7in. 5in. 3in. 4in. 9in.
Answers
Answer:
79 sq in
Step-by-step explanation:
cut it into separate shapes then add the areas of each individual
(4 x 3) + (13 x 4) + (3 x 5)
Math question......please get the correct answer
Answers
Answer:
7 pies
Step-by-step explanation:
The graph is counting by 2s and the question is asking how many pies have 90 or more cherries in the pie so, I counted and got 7. 4 from 90-119 and 3 from 120-149. On 120-140 the graph fills up to 2 and then fills a half which counts as one pie 4+2+1=7 pies.
Answer:
7 pies
Step-by-step explanation:
what will I get for the answer 12(2x2−8)+13(6x2−3)
Answers
Answer:
102x^2 - 135
Step-by-step explanation:
Here we must follow order of operations rules:
1. Anything enclosed inside parentheses must be done first
2. Multiplication before addition/subtraction
Thus, 12(2x^2−8)+13(6x^2−3) becomes (after multiplication):
24x^2 - 96 + 78x^2 - 39
The next step is to combine like terms:
102x^2 - 135
This cannot be simplified further. 102 and 135 have no common factors.
Thus, 12(2x^2−8)+13(6x^2−3) = 102x^2 - 135
Answer:
3x^2-5
Step-by-step explanation:
i found out myself after searching the question
Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet.
If Emma’s model has a wingspan of 30 centimeters (cm), what is the length of the model?
Answers
Answer:
it should be either a or b
25+ POINTS WILL MARK BRAINLIEST
Answers
Answer:
Point A = (-6,0)
Point B = (0,4)
Answer:
Your Answer is this
Step-by-step explanation:
Mickey planted a 34" tree that grows 7.5" every year. How tall will the tree be in 5 years
Answers
Answer:
71.5"
Step-by-step explanation:
7.5x5=37.5
37.5+34=71.5"
Answer:
71.5
Step-by-step explanation:
make a formula7.5y+347.5x5=37.537.5+34=71.5Please answer it i need this
Answers
Answer: The first choice
Step-by-step explanation:
How many televisions do the families in your neighborhood own.
A statistical questions means you expect multiple responses.
Non statistical questions are those that u can answer with a defintine answer and only require gatbering of little data
Have a nice day
PLEASE HELP ME I AM SUFFERING GREATLY
Answers
Answer:
6 hours ( i think)
Step-by-step explanation:
new crew = 12 hours, experienced crew = 6 hours
new crew + experienced crew = 12 hours and 6 hours
the help that they get together ; 12-6
Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?
Answers
Answer:
425000×0.0235=9987.5
379000×0.0235=8906.5
9987.5+8906.5=18894 that is the amount he gonna get
Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
Answers
Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
Step-by-step explanation:
Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.
Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.
Answer: A
Step-by-step explanation:
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.
Answers
Answer:
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Step-by-step explanation:
Given
[tex]t \to time[/tex]
[tex]f \to figurines[/tex]
Required
Determine the function
From the question, we have:
[tex]60\ minutes \to 9\ left[/tex]
This is represented as:
[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]
If he spends 20 minutes on 1 figurine;
[tex]20\ minutes = 1\ figurine[/tex]
Multiply both sides by 3
[tex]60\ minutes = 3\ figurines[/tex]
This means that, he spends 60 minutes on 3
plus he still has 9 left
So, the initial figurines is:
[tex]f(0) =3 + 9[/tex]
[tex]f(0) =12[/tex] or [tex](0,12)[/tex]
So, we have:
[tex](60,9)[/tex] and [tex](0,12)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12- 9}{0 -60}[/tex]
[tex]m = \frac{3}{ -60}[/tex]
[tex]m = -\frac{1}{20}[/tex]
The equation is then calculated as;
[tex]f(t) = m * t + c[/tex]
[tex]f(t) = -\frac{1}{20} * t + c[/tex]
[tex]f(t) = -\frac{1}{20}t + c[/tex]
To solve for c, we have:
[tex]f(60) = 9[/tex]
So, we have:
[tex]9 = -\frac{1}{20} * 60 + c[/tex]
[tex]9 = -3 + c[/tex]
Add 3 toboth sides
[tex]c =12[/tex]
Hence, the equation is:
[tex]f(t) =-\frac{1}{20} t + c[/tex]
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Answer:
f=-1/20t+12
Step-by-step explanation:
khan
Which graph represents the function p(x) = |x - 1|?
Answers
Step-by-step explanation:
Fourth graph represent the function p(x) = |x – 1|
Answer:
B
Step-by-step explanation:
Just did the unit test
if two line segments have the same lengh, which of the following must be true
A. they are congruent
B. they share an endpiont
C. They are equal
D. They form a right angel
Answers
A. They are congruent
Hope this helps! :)
Q5. A surprise Mathematics test was conducted in a class of 12 students. The
results are shown below.
45
22 12
9 6 63
63 78
12
69 81 3 19
4 points
Calculate the mean score
O 34.92
O 457
O 20.5
O 22
Answers
Answer:
Mean value of score = 40.167 (Approx.)
Step-by-step explanation:
Given:
Number of students in class = 12
Numbers;
45 , 22, 12, 96, 63, 63, 78 , 12 , 69, 81, 3, 19
Find:
Mean value of score
Computation:
Mean = Sum of all observation / Number of students
Mean value of score = [45 + 22 + 12 + 96 + 63 + 63 + 78 + 12 + 69 + 81 + 3 + 19] / 12
Mean value of score = [482] / 12
Mean value of score = 40.167 (Approx.)
Look at the graph of the given relation. Determine whether the relation is a function. Explain why or why not.
(4.2, 6.2), (-0.8, 6.2), (-3.8, 4.2), (-3.8, -1.8)
Answers
Answer:
Step-by-step explanation:
The relation is not a function!
Which statement about correlation and causation is true?
1. Correlation cannot occur without causation.
2. Correlation and causation are always unrelated.
3. Causation implies correlation.
4. Correlation implies causation.
Answers
Answer:
it is number 1
Step-by-step explanation:
i asked my teacher
Answer: 3 or 4, this question isnt exactly possible to answer
Step-by-step explanation:
can someone help please..
Answers
Answer:
b
Step-by-step explanation:
Which of the following sets of numbers could not represent the three sides of a right triangle?
A) {15,20,25}
B) {30,40,50}
C) {33,44,55}
D) {5,12,14}
Answers
Answer:
D
Step-by-step explanation:
A^2+B^2=C^2
For A, 15^2(225)+20^2(200)=625, and 25^2=625
For B, 30^2(900)+40^2(1,600)=2,500, and 50^2=2,500
For C, 33^2(1,089)+44^2(1,936)=3,025, and 55^=3,025
But for D, 5^2(25)+12^2(144)=169, and 14^2=196, and 169 and 196 are not equal.
A computer store bought a program at a cost of $10 and sold it at a selling price of $13. Find the percent markup.
Answers
Step-by-step explanation:
Cost = $10
Selling price = $13
Markup = selling price - cost price
= $13 - $10
= $3
percent markup = markup/cost
= $3/$10
= 0.3 = 30%
Percentage markup is 30
find the area of this parallelogram. HELP ASAP!
Answers
Answer:
260cm^2
Step-by-step explanation:
Given,
Base = 20cm
Height = 13cm
Area of a parallelogram = Base * Height
= 20 * 13
= 260cm^2
Answer:
260
Step-by-step explanation:
Area of parallelogram = base length times height
Given height = 13cm
Given base Length = 20
Area = 20 * 13 = 260
please help im very confused
Answers
I will give u brainliest and 5 star and thanks if its correct
Answers
Answer:
A
Step-by-step explanation:
bcz 7 times 7 times 7 3 times
Answer:
A)
Step-by-step explanation:
The expression would be 7x7x7 because exponents work that way in steps of using multiplication. It an expression used to say "3 times more" that the real amount. 7³ = to the the expression of 7x 7 x 7.
Note:
Hope this helps!
-kiniwih426
5
4.)What function rule models the values in the table?
Х
4
8
12
16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4
Answers
Answer: 8
Step-by-step explanation: 4x4=0
Please help me with this geometry question
Answers
Answer:
2) 40
Step-by-step explanation:
the perimeter of Rhombus =
4 × (√(12/2)²+(16/2)² )
= 4× (√6²+8²)
= 4× (√100)
= 4×10
= 40
Q) 4 × (√(12/2)²+(16/2)² )
→ 4 × (√6²+8²)
→ 4 × (√100)
→ 4 × 10
→ 40 is the perimeter of rhombus.
Evaluate the piece-defined function for the given of x by matching the domain values with the range values
Answers
Answer:
The correct answer is:
(1) d
(2) b
(3) a
(4) c
(5) e
Step-by-step explanation:
The given problem is incomplete. Find the attachment of the full question.
According to the question,
(1)
By putting x = -2, we get
[tex]f(x)=(-2)^3-5[/tex]
[tex]=-8-5[/tex]
[tex]=-13[/tex]
(2)
By putting x = 0, we get
[tex]f(x)=(0)^3-5[/tex]
[tex]=0-5[/tex]
[tex]=-5[/tex]
(3)
By putting x = 3, we get
[tex]f(x)=8[/tex]
(4)
By putting x = 9, we get
[tex]f(x)=(2)^{9-7}[/tex]
[tex]=(2)^2[/tex]
[tex]=4[/tex]
(5)
By putting x = 11, we get
[tex]f(x)=(2)^{11-7}[/tex]
[tex]=(2)^4[/tex]
[tex]=16[/tex]
Which graph shows the solution to the system of linear inequalities?
y < 2x - 5
y> -3x + 1
Is it this one?
Answers
Step-by-step explanation:
The given system of inequalities are :
y < 2x - 5 ...(1)
y> -3x + 1 ....(2)
For equation (1),
When x = 0, y<-5
For equation (2),
When x = 0, y>1
The attached figure shows the graph of the given inequalities.
Help please!!! I don’t understand