Answer:
A. The equation of the line is y=−2.5x+10.
C. The y-intercept is k.
F. The value of k is 10.
Step-by-step explanation:
A line passes through points (0, k) and (4,0) and has a slope of –2.5. Which statements are true regarding the graph of the line?
A. The equation of the line is y=−2.5x+10.
B. The equation of the line is y=−2.5x.
C. The y-intercept is k.
D. The y-intercept is 4.
E. The value of k is 4.
F. The value of k is 10.
Solution:
The slope of a line is the ratio of the vertical change to the horizontal change. The slope (m) of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given that the line passes through (0, k) and (4,0)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]-2.5=\frac{0-k}{4-0}\\\\-2.5=\frac{-k}{4}\\\\k=10[/tex]
The equation of the line is given as:
[tex]y-y_1=m(x-x_1)\\\\y-10=-2.5(x-0)\\\\y = -2.5x+10[/tex]
The y intercept is the value of y when x = 0, hence intercept = k
Given the line that passes through points (0, k) and (4,0) and has a slope of –2.5, we need to get the value of "k
The formula for calculating the slope of a line is expressed as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\-2.5 = \frac{0-k}{4-0}\\-2.5=\frac{-k}{4} \\Cross \ multiply\\-2.5 \times 4 = -k\\-10 = -k\\k = 10[/tex]
Hence the value of k is 10.
Learn more here: https://brainly.com/question/12922257
From the coordinate given (0, 10) and (4, 0), we can see that the y intercept and x intercept of the graph is 10 and 4 respectively
A recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B. You use 3 cups of ingredient A. How many cups of ingredient B do you need?
Answer:
8.4cups
Step-by-step explanation:
Given:
recipe calls for 1/2 cup of ingredient A for every 1 2/5 cups of ingredient B.
By using the ratio of both ingredients
Let X= amount of ingredient A in cups
Let Y= amount of ingredient B in cups
We can interpret like this
(X/Y) = (1/2 cup)/(1 2/5 cups)
1 2/5 cups = 7/5 cups
(X/Y) = (1/2)/(7/5)
(7/5)X= (1/2)Y
We can find the value of Y
Y= 2*(7/5)X
Y = (14/5)X
You use 3 cups of ingredient A. Then X= 3cups, then Y=
Y = (14/5)× 3
Y=8.4cups
There are 8.4cups cups of ingredient B do you needed
What numbers belongs at the top? Really confused on how to solve this one
Answer:
What is it? Like what type of math?
Step-by-step explanation:
I'm confused cause it can't be geometry cause a square would not have squares within it that are different area units????
14. Evaluate: 9a2 – 2b2 when a =
4 and b =7
Answer:
9a2-2b2=9 times 4 times 2 - 2 times 7 times 2=72-28=44
The answer is 44, hoped I helped :P
A rectangular pool is 20 ft by 25 ft. The walk way around the pool is x ft. wide. What is the area of the walkway?
Answer:
the answer is 500x
Step-by-step explanation:
hope it helps :)
Rewrite the following equation in standard form. y = 6x − 3
Step-by-step explanation:
Y
[tex]if \: y \: equals \: to \: 0 \\ 0 = 6x - 3 \\ 3 = 6x \\ \frac{1}{2} = x \\ sub \: value \: of \: x \: in \: irt \: equation \\ y = 6( \frac{1}{2} ) - 3 \\ y = 0[/tex]
-0.64x+0.44x=5.8 solve for x
Answer:
x=-29
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−0.64x+0.44x=5.8
(−0.64x+0.44x)=5.8(Combine Like Terms)
−0.2x=5.8
−0.2x=5.8
Step 2: Divide both sides by -0.2.
-0.2x/-0.2=5.8/-0.2
x=-29
Suppose the line segment with endpoints C(1,3) and
D(5,2) is reflected over the y-axis, and then reflected
again over y = x. What are the coordinates C" and D"?
what is it help???
Answer:
hsuwbdi idd
Step-by-step explanation:
bdjxisbwbcocjsbdjc9f8whebfocie
Solve 2/3 divided by - 1 1/3
Answer:
-0.5
Step-by-step explanation:
Every month Neha takes a fixed amount of ₹3750 from her mother for her expenses. What is the amount she is spending in a year. What is the quality reflected here?
Answer:
Yearly expenses = ₹45,000
Step-by-step explanation:
Given:
Monthly expenses = ₹3,750
Find:
Yearly expenses
Computation:
Yearly expenses = 12 x ₹3,750
Yearly expenses = ₹45,000
Neha is unemployed and his expenses are totally fixed during the whole year.
8) You have a line segment that is split into two (not equal) pieces. You know the length of the original
segment and the length of the smaller piece. Explain how you would find the length of the larger piece.
Answer: You would take the original piece amount and subtract the smaller amount from that. This will give you the amount of the unknown piece.
Step-by-step explanation:
I need help as fast as possible
Answer:
No, because the relation does not pass the vertical line test for every possible input
Step-by-step explanation:
In the equation y= 2x + 7, the slope is 7.
True
False
Answer:
False I did this And the slope is 2
how many times do you have to regroup to subtract 847 -268
Answer:
You can regroup it 3 times and a remainder of 43. :) hope it helped!
Solve.
3x + 21 = -33
a. -18
b. 18
c. -4
d. 4
Answer:
-18
Step-by-step explanation:
I just had this question and the answer is -18 because 3x+21-21=-31-21 to get - 18
Answer:
A). X = -18
Step-by-step explanation:
-18 times 3 + 21 is -33. When you have a hard time figuing out these sort of problems, I suggest you should get each choice that is given. Put one of these choices one at a time in the equation and see if it will equal -33. To do this, you put the number and substiture it for x. This is an easy way of solving this problem especially when it is multiple choice.
A map key shows that 3cm represents 60 miles. Which proportion could be used to find m, the number of miles represented by 8 centimeters?
A: 3/60=m/8
B: 3/8=m/60
C: 3/5=60/m
D: 3/60=8/m
Answer:
D
Step-by-step explanation:
PLEASEEEE SOMEONE HELPPPP I DONT GET IT ITS FOR A GRADEEEEE :((((
Answer: The answers 14
Step-by-step explanation:
What is four-fifths of three-fourths?
A. 3/5
B. 3/4
C. 4/20
D. 3/20
Answer:
3/5
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
Use divisibility rules to determine whether the number is divisible by 2, 3, 4, 5, 6, 8, 9, and 10.
1. 1200
2. 1515
3. 1071
Answer:
Divisibility Rules: 2, 3, 4, 5, 6, 9, and 10
A number aa is divisible by the number bb if a \div ba÷b has a remainder of zero (00). For example, 15 divided by 3 is exactly 5 which implies that its remainder is zero. We then say that 15 is divisible by 3.
In our other lesson, we discussed the divisibility rules for 7, 11, and 12. This time, we will cover the divisibility rules or tests for 2, 3, 4, 5, 6, 9, and 10. Believe me, you will be able to learn them very quickly because you may not know that you already have a basic and intuitive understanding of it. For instance, it is obvious that all even numbers are divisible by 2. That is pretty much the divisibility rule for 2. The goal of this divisibility rules lesson is to formalize what you already know.
3. 1071
Step-by-step explanation:
A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. And a number is divisible by 6 if it is divisible by 2 (even number) and by 3.
Which expression is equivalent to (12x−5y−1)+(17y−4−13x−3y)?
which one is it?
1. −4x+12y−5
2. −x+9y−5
3. −x−25y+5
4. 25x−19y+3
The expression that is equivalent to the given expression is -x+9y−5. The correct option is 2. −x+9y−5
From the question,
We are to determine the expression which is equivalent to the given expression.
First, we will simplify the given expression
The given expression is (12x−5y−1)+(17y−4−13x−3y)
The expression can be simplified as shown below
(12x−5y−1)+(17y−4−13x−3y)
12x−5y−1+17y−4−13x−3y
Collect like terms
12x−13x+17y−5y−3y−4−1
This becomes
-x+9y−5
The simplified expression is -x+9y−5
Hence, the expression that is equivalent to the given expression is -x+9y−5. The correct option is 2. −x+9y−5
Learn more on simplifying expressions here: https://brainly.com/question/10618632
Maria pays a yearly fee of $3 to her swimming club and $2
per lesson. Carmen pays a yearly fee of $5 and $2 per lesson.
After how many lessons will Maria and Carmen have paid the
same amount? Write an equation and explain your answer.
Answer:
They will have never paid the same amount
Step-by-step explanation:
the equation 3+2x=5+2x simplifies to 3=5 which is not a true statement
Carmen always pays a higher amount than Maria where the fee for each lesson is the same for both Carmen and Maria.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Maria:
Yearly fee = $3
Fee per lesson = $2
Carmen:
Yearly fee = $5
Fee per lesson = $2
The equations to represent the amount A after x lesson:
Maria:
A = 3 + 2x
Carmen:
A = 5 + 2x
The number of lessons at which both have paid the same amount:
3 + 2x = 5 + 2x
0 = 2
There is no solution.
Thus,
Carmen always pays a higher amount than Maria where the fee for each lesson is the same for both Carmen and Maria.
Learn more about equations here:
https://brainly.com/question/27996921
#SPJ2
Simplify -4x-3+6x-2 simplify
Answer:
2x-5
Step-by-step explanation:
Answer:
2x - 5
Step-by-step explanation:
combine like terms
-4x and + 6x = 2x
-3 and -2 = -5
2x - 5
Please helppp.
Then for 13 it’s asking: is c a scaled copy of B?
And for 14 it’s asking: is c a scaled copy of r?
Please help meee it’s graded and due today I’ll give 30 points.
Answer:
Yes, C is a scaled copy of B.
Step-by-step explanation:
The scale factor of C from B is 1/9th.
C is also a scaled copy of R. The scale factor is 1/36th.
The scale factor of B to R is 1/4th.
Which is the best estimate of 11/12 x 4/5
Answer:
44/60
Step-by-step explanation:
times the top by the bottom.
helpp ill mark u as brain list
Answer:
1 its linear
and 2 it goes through the origin so its most likely proportional.
Mike is on vacation and decides to rent a bike for part of the week. The rental cost is represented by the function c(d) = 25+20d, where is the number of days of use and c(d) is the total cost for d days of use. How much does the bike cost Mike if he uses it for 4 days?
Answer:
Cost for 4 days is 105
Step-by-step explanation:
To get the cost for 4 days, we simply substitute 4 for the value of d in the equation
Thus, we have
c(4) = 25 + 4(20)
C(4) = 25 + 80
C(4) = 105
Ms. Lee went and got a haircut for $55.00, and the tax was 7%. She also left a 30% gratuity for the hairdresser.
Wat is the rate of change for this equation?
3x -2y = 6
Answer:
rate of change (slope)=3/2
Step-by-step explanation:
3x-2y=6
-2y=-3x+6
y=3/2x-3
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
1/2 hopefully this will help.
Step-by-step explanation:
hello look at picture
Answer:
No
Step-by-step explanation:
if it is a function is to see if there are two of the same x-intercept (which make a vertical line). If there is, then it is NOT a function
Answer:
No it does not
Step-by-step explanation:
pls mark brainliest
4x^4-6x^2+5
help asappp
Answer:
220x+5
Step-by-step explanation:
Do I simplify? if yes, here's an explanation
4x^4 that means, 4x*4x*4x*4x, do 4*4*4*4=256,so the first part is 256x.
6x^2 that means, 6*6=36, 36x
Then do , 256x-36x+5=220x+5
That's your answer!
Hope this helps!