graph the line whose y-intercept is -7 and whose x-intercept is 1
Answers
Answer:
[tex]y=7x -7[/tex]
Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], where [tex]x_{2}[/tex] and [tex]x_{1}[/tex] are the x - coordinates of both points and [tex]y_{2}[/tex] and [tex]x_{1}[/tex] are the y - coordinates of both points.
[tex]m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7[/tex]
We now have the missing piece, the slope, so the equation now is:
[tex]y=7x -7[/tex]
Related Questions
In isosceles triangle NTS, NT ≌ TS. If m∠N = 42° and NS = 30 cm, find the length of the altitude of △NTS. (Round answer to the nearest tenth.)
Answers
Answer:
13.5 cm
Step-by-step explanation:
The altitude of the base of the isosceles triangle bisects the vertex angle, <T, and also bisects the base, NS.
Therefore, NS is divide into two, 15 cm each.
This means we now have two right triangles from the isosceles triangle with the following:
Reference angle = 42°
Opposite = altitude = h
Adjacent = 15 cm
To find h, apply trigonometric function, TOA:
Tan 42 = Opp/Adj
Tan 42 = h/15
15 * Tan 42 = h
h = 13.5060607 ≈ 13.5 cm (nearest tenth)
need help its due today what does x equal
Answers
Answer:
100
Step-by-step explanation:
x+80=180 because straight angle is 180 degrees.
x=100
Answer:
100 degrees
Step-by-step explanation:
when you're trying to solve a problem like this, just subtract the number you have from 180.
Can somebody help me with B. And C. Please
Answers
Answer:
B) $150 for 15 hours
C) 25 hours
Step-by-step explanation:
B) (15, 150)
C) (25, 250)
Hellppp plzzz!
Given right triangle DEF, what is the value of cos(F)?
Answers
Dude it is A!!!!!!!!!!!!!!!!!!
Work out 10% of 13 kg
Answers
1.3
10% x 13 = 13 /10
A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.
Raj has another prism that has dimensions that are each double the dimensions of the first rectangular prism.
How many times greater is the volume of the larger prism than the volume of the smaller one?
Answers
Answer:
8 timesStep-by-step explanation:
The volume of the prism:
V = lwhIf each of the dimensions is doubled, then the volume becomes:
V₁ = 2l*2w*2h = 8lwh = 8VThe larger prism has 8 times greater volume
Find the true measurements of the missing angle and show your work
Answers
Answer:
Angle = 45
Step-by-step explanation:
It is half of a right angle also (x = 15) :)
What is the surface area of the rectangular prism?
Answers
Answer:
its c
Step-by-step explanation:
Answer:
121.96 cm
Step-by-step explanation:
A=2(wl+hl+hw)
=2*(4.6*2.8+6.5*2.8+6.5*4.6)
Camelo has 3 less siblings than Benecio has. If camelo has 2 siblings, how many siblings does Benicia has.
Answers
Answer:
Benicia has5 siblings
Step-by-step explanation:
2+3=5
What is the solution of -3x < -21
Answers
9x8
Step-by-step explanation: the 8 is the to the power btw
PLEASE ANSWER THE PIC BELOW
Answers
If 6.5 pounds of strawberries cost 20$ what's the unit price?
Pls I’ll give brainlyest
Answers
Answer:
should be 3.07 (when rounded to the nearest hundredth)
Step-by-step explanation:
Answer: $3.08 per pound of strawberries.
Unit price is 3.08/1
Step-by-step explanation: The unit price is how much 1 point of strawberries cost.
To find the unit price divide 20 by 6.5.
20/6.5 = about $3.08.
how do i find the measure of these? i’m lost in math
Answers
Answer: Answers and work are all in the picture that I attached. Hope this helps
6cm
4cm
Determine the area of the composite figure to the nearest whole number.
A)
26 cm2
B)
38 cm
46 cm
D)
85 cm2
Answers
Answer:
A
Step-by-step explanation:
Area of the composite figure= 6cm×4cm
= 24cm²
PLEASE MARK BRAINLIEST.
Answer:
A
Step-by-step explanation:
I took the test
2/3 x 2/3 *Simply your answer if you can
Answers
Answer:
1 and 1/3
Step-by-step explanation:
2 * 2 = 4, 4/3 is 1 and 1 /3
Answer:
4/9
Step-by-step explanation:
拜託華人救我
我完全不懂這問題
可以幫我嗎？
明天需要提出的作業
謝謝
Answers
Answer: 謝謝
Step-by-step explanation:
I need help with this real quick
Answers
Answer:
19m
Step-by-step explanation:
Multiply 3 and 6m
18m+m
Now you can add to get your answer
19m
Hope this helps!!!
Have a great day!!!!!
Solve the equation using the Zero-Product Property. (x - 8)(5x - 6) = 0
Answers
Answer: 1.2 or 5 (there’s two solutions)
Step-by-step explanation:)
A stack of Nichols has a mass of 45 g there are nine Nichols in the stack what is the mass of one nickel
Answers
Answer:
5 grams for each nickle
Step-by-step explanation:
Brainleiest plz.
I divided 45 and 9 and got 5
The sale price of a diving board is $213. What was the original price if it was 25% off?
Answers
A basketball player makes 8 of 22 shots in game 1, 6 of 15 in game 2, and, 10 of 23 in game 3. What percent of the shots did the player make in the three games?
Answers
Answer:
50
Step-by-step explanation:
the answer is 50 because you have to add 22+15+23=50 then you add the makes which is 8+7+10=25. Then time both by 2 because percent means per one hundred which means the bottom has to equal 100 so time 50x2=100, So 25x2=50
plz help fast
plz pick a b c or d
Answers
Answer:
C (H. x=3)
Step-by-step explanation:
It wants a line where both sides are equal. Since the parabola is opening upward, it has to be an x= equation. That rules out F and J. Next you count out the points to the vertex on the x axis, which seems to be 3. This means that the line is x=3, or H(c)
You estimate that your kitchen remodeling project will require an electrician for 30 hours, a plumber for 33 hours and a carpenter for 18 hours . If the electrician charges $34.75 per hour , the plumber charges $30.00 per hour and the carpenter charges $28.65 per hour, what is the expected cost of labor for the project ?
Answers
$2,584.20
Describe an inverse function is and how they compare graphically.
Answers
y
What is the equation in standard form of the line shown
on the graph?
The equation of the line in standard form is
4
2.
-4
-2.
2
4
-2.
Answers
9514 1404 393
Answer:
3x -4y = 12
Step-by-step explanation:
The x- and y-intercepts are easily read from the graph as 4 and -3, respectively. Then the intercept form of the equation of the line is ...
x/(x-intercept) +y/(y-intercept) = 1
x/4 +y/(-3) = 1
Multiplying by 12 will clear the fractions and give the standard form:
3x -4y = 12
Gloria, Scott, and Becky are all moving water into a large barrel. Gloria has moved 12 less than 4 times the number of gallons of water as Scott. Becky has moved 16 less than 6 times the number of gallons of water as Scott. If Gloria and Becky have both moved the same number of gallons of water, how many gallons, g, of water has Scott moved?
Which equation below correctly represents the situation above?
A. 4g - 16 = 6g - 12
B. 4g - 6g - 12 = 16
C. 4 × 6 - 12 × 16 = g
D. 4g - 12 = 6g - 16
Answers
Answer:
B. 4f - 6g - 12=16
Step-by-step explanation:
hope it'll help you mark me as brainliest
The number of people who have heard a rumor is modeled by the logistic function f(x)=2601+23e−0.06x
, where x is the number of days since the rumor began.
Approximately how many days have passed when the rate at which the rumor spreads begins to decrease?
Answers
Answer:
C
Step-by-step explanation:
The number of people who have heard a rumor is modeled by the logistic function:
[tex]\displaystyle f(x)=\frac{260}{1+23e^{-0.06x}}[/tex]
And we want how many days has passed since the rate at which the rumor spread began to decrease.
First, the numerator tells us that the total number of people who will have heard the rumor by the end is 260.
Recall that the point of maximum growth is always half of the maximum capacity.
In this case, that point will be 260/2 = 130.
For a logistic function, the rate of all values to the left of the halfway point is increasing, (i.e. concave up), while the rate of all values to the right is decreasing (i.e. concave down). Therefore, we can solve for x when f(x) = 130:
[tex]\displaystyle 130=\frac{260}{1+23e^{-0.06x}}[/tex]
Cross-multiply:
[tex]130(1+23e^{-0.06x}})=260[/tex]
Distribute:
[tex]130+2990e^{-0.06x}=260[/tex]
Solving for x:
[tex]2990e^{-0.06x}=130[/tex]
Therefore:
[tex]\displaystyle e^{-0.06x}=\frac{130}{2990}=\frac{1}{23}[/tex]
Taking the natural log of both sides:
[tex]\displaystyle -0.06x=\ln\Big(\frac{1}{23}\Big)[/tex]
Therefore:
[tex]\displaystyle x=\frac{\ln(1/23)}{-0.06}\approx52.3[/tex]
After about 52.3 days, the rate at which the rumor started spreading will begin to decrease.
MY
What is the radius and diameter of the following circle?
16 cm
Radius =
cm
Diameter =
cm
Answers
Answer:
the radius is 16 and the diameter is 32
Step-by-step explanation:
diameter is always radius times two
Use synthetic division to evaluate f(x) = x^3-4x^2+x-8 when x = 2.
Answers
Answer:
=-14
Step-by-step explanation:
Substitute 2 in for x:
Before- x^3-4x- + x-8 ; Now- 2^3 - 4* 2^2 + 2-8=-14
What are the factors of 6x2+37x−60?
3x−4 and 2x+15
3x+4 and 2x−15
2(x−2) and 3(x+5)
2(x+2) and 3(x−5)
.
Answers
Answer:
Ansswers: 3x-4 And 2x+15
The factors of the polynomial, 6x²+37x−60, are: 3x−4 and 2x+15.
What are the Factors of a Polynomial Equation?Factors of a polynomial are the product of a polynomial expression. They multiply to given a polynomial.
Given:
6x²+37x−60
Factorize
6x²+37x−60 = (3x−4)(2x+15)
Therefore, the factors of the polynomial, 6x²+37x−60, are: 3x−4 and 2x+15.
Learn more about factors of polynomial on:
https://brainly.com/question/280849