Answers
Answer:
Look at the dotted points on the line in your graph. check their coordinates, for your ease i am attaching a picture, please have a look.
so the two coordinates we have is : ( 3 , 1 ) , (- 1 , - 5)
Now let's find the gradient from these two coordinates.
[tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }\\\\=\frac{1-(-5)}{3-(-1)}\\\\=\frac{6}{4}\\= 1.5[/tex]
Now we use the equation of a straight line and here , you can use any of the coordinates. For my ease, I am using the first one:
[tex]y-y_{1} = m (x-x_{1})\\ y- 1 = \frac{3}{2} (x-3)\\\\2y-2 = 3x - 9\\2y - 3x = -7[/tex]
Related Questions
If the fraction 374/×-10 is equivalent to -22, find the value of x.
Answers
Answer:
uhm -7?
Step-by-step explanation:
374 ÷ (x - 10) = -22
374 = -22(x - 10)
374 = -22x + 220
374 - 220 = -22x
154 = -22x
154 ÷ -22 = x
-7 = x
There are 100 seniors and 80 juniors in the Homecoming Parade. The students split up into groups of equal size, to fit on the parade floats. They want the most students possible on each float, with just juniors or just seniors on each float. How many students should be on each float?
Answers
Answer:
20 students should be on each float
Step-by-step explanation:
Number of seniors = 100
Number of juniors = 80
To find number of students that should be on each float, find highest common factor (H.C.F) of 100 and 80
Write prime factorisation of 100 and 80.
100 = [tex]2^2[/tex] × [tex]5^2[/tex]
80 = [tex]2^4[/tex] × 5
So,
H.C.F(100, 80) = [tex]2^2[/tex] × 5 = 4 × 5 = 20
Therefore,
20 students should be on each float
On Friday, 17.5 total gallons of water were used. On Saturday, 31.5 total gallons were used. On Sunday, 24.75 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water?
Answers
Answer:
the answer is B. 0.75 gallon
Step-by-step explanation:
i just worked through this one on edgunity
Find and enter the correct number of bottles.
1
8
of 48 bottles of water =
Answers
!!PLEASE HELP !!
f(x)= |5x+1|-3
g(x)= 4
Find (f-g)(x).
Answers
Answer:
(f-g)(x) = |5x + 1| - 7Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = |5x + 1| - 3 - 4 = |5x + 1| - 7
Solve for y
3x -2y = 8
Answers
Answer:
y=3/2x-4
Step-by-step explanation:
3x-2y=8
-2y=-3x+8
y=3/2x-4
y=3/2x-4
3x-2y=8
-2y=3x+8
y=3/2x-4
Please solve 8.2(6x-3)=7(7x-1.2)
Answers
Answer:
x=81
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8.2(6x−3)=7(7x−1.2)
(8.2)(6x)+(8.2)(−3)=(7)(7x)+(7)(−1.2)(Distribute)
49.2x+−24.6=49x+−8.4
49.2x−24.6=49x−8.4
Step 2: Subtract 49x from both sides.
49.2x−24.6−49x=49x−8.4−49x
0.2x−24.6=−8.4
Step 3: Add 24.6 to both sides.
0.2x−24.6+24.6=−8.4+24.6
0.2x=16.2
Step 4: Divide both sides by 0.2.
0.2x0.2=16.20.2
The Main Street Animal Hospital can take care of 28 animals at one time. The Green Street Animal Hospital can take care of twice as many animals. How many animals can the Green Street Animal Hospital care for?
Joe's equation: g equals 28 cross times 2
Answers
Answer:
56
Step-by-step explanation:
Find the 63rd term of the arithmetic sequence 2,9,16
Answers
Answer:
a₆₃ = 436Step-by-step explanation:
[tex]a_1=2\\a_2=9\\d=a_2-a_1=7\\\\a_n=a_1+d(n-1)\\\\a_{63}=2+7(63-1)=2+7(62)=2+434=436[/tex]
The 63rd term of the given arithmetic progression is 436.
What is an Arithmetic progression?
An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant. A sequence -
a₁ , a₂, a₃ , a₄ ...... aₙ
will be an arithmetic progression if -
a₂ - a₁ = a₃ - a₂ = a₄ - a₃ = d (constant) is called common difference of A.P. and a₁ = 'a' as the first term.
Given is the following sequence -
2, 9, 16, ..... nth term
First term [a] = 2
common difference [d] = 9 - 2 = 7
We can calculate the nth term of an A.P. using the formula -
a[n] = a + (n - 1)d
a[63] = a + (63 - 1) d
a[63] = 2 + 62 x 7
a[63] = 2 + 434
a[63] = 436
Therefore, the 63rd term of the given arithmetic progression is 436.
To solve more questions on Arithmetic progression , visit the link below-
brainly.com/question/26064016
#SPJ5
it took 7 hours to mow 4 lawns; at that rate, how many lawns could be mowed in 21 hours
Answers
Answer:
12
Step-by-step explanation:
7x3=21
3x4=12
boOM
Hope This Helps
<3
Answer:
4 lawns were mowed in 7 hours, so if 7 x 3 = 21.
Then you can mow 12 lawns in 21 hours
4 lawns each 7 hours.
Step-by-step explanation:
3 inches to the nearest 1/2 inch
Answers
Answer:
6
Step-by-step explanation:
The positions of two airplanes approaching an airport are plotted in a coordinate plane with the airport located at (0,0). The locations of the planes are
given by the coordinates (7, 2) and (-1, -8). Each grid square is 1 mile wide. How far apart are the approaching airplanes? Round your answer to the
nearest tenth of a mile.
Answers
Answer:
12.8 miles
Step-by-step explanation:
The distance is given by the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((-1 -7)^2 +(-8-2)^2) = √((-8)^2 +(-10)^2) = √(64 +100)
d = √164 ≈ 12.8
The planes are about 12.8 miles apart.
Answer: incorret
Step-by-step explanatioTo calculate the distance (d) use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 5)
d =
=
= = = = 5 ← exact value
He is Incorrect
n:
the product of one more number and 4 more than the number is 54. Find the numbers
Answers
Answer:
25 and29
Step-by-step explanation:
let x be one number
then according to questions another number will be x+4
we can write
x+x+4=54
2x=54_4
2x=50
x=50/2
x=25
one number is 25 and another number is 25+4=29
if f(x)=2x^2-10, find f(-3)
Answers
Answer:
f(- 3) = 8
Step-by-step explanation:
To evaluate f(- 3), substitute x = - 3 into f(x) , that is
f(- 3) = 2(- 3)² - 10 = 2(9) - 10 = 18 - 10 = 8
please help me answer this question if correct I'll make brainylist!!!
Answers
Answer:
3
Step-by-step explanation:
I am pretty sure it is 3, because 3+3 is 6+5 = 11
The other box also has 11
So I think the x is 3.... Hope this helps
Answer:
3
Step-by-step explanation:
on the left, you see the 1 by 1 squares from before, which I will call c1s, and you see 6 extra c1s
on the right, there are 2, 3 by 1 rectangles. 3 by 1 = 3*1 = 3
3 is the answer
As soon as a new vehicle is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Bree bought a 1994 Moped for $3500. One year later, the value of the moped was $2730. What was the percent of decrease of the value of the moped?
Answers
Answer:
7.7% decrease in the value of the moped
Step-by-step explanation:
Bree bought a 1994 moped for $3,500
A year later the value of the moped dropped to $2,730
Therefore the percent of decrease of the value of the moped can be calculated as follows
= 3,500-2,730/100
= 770/100
= 7.7 % decrease
Hence there was a 7.7% decrease in the value of the moped
Help!!!!!
Write an equation that is parallel to 3x−2y=14 and passes through the point (-6, -11) in slope-intercept form.
Answers
3*-6-2*-11=14
-18+22=14
22=14+18
10
Answer: First, remember that parallel lines have the same slope. So we first need to find the slope of the line we are given, 3x+2y=27. The quickest way to find the slope of this line is to put it into slope-intercept form (y=mx+b)
subract 3x from both sides:
2y=-3x+27
divide each term by 2:
y=-3/2x +27/2
Now we can see that the slope is -3/2.
From here, we use the slope we found and the ordered pair given (7,-4) and find the equation of the new line. We will have to use point-slope form (y-y1)=m(x-X1) to find the new line because the ordered pair given is not the y-intercept.
(y-(-4))=-3/2(x-7)
distribute -3/2:
(y-(-4))= -3/2x + 21/2
simplify double negative on left side of equals sign:
y+4=-3/2x + 21/2
Subtract 4 from both sides:
y= -3/2x + 13/2
This is your answer in slope intercept form. Because the directions specifically ask for standard form, we have one more step. Standard form (ax+by=c) needs the terms with x and y to be on the same side of the equals sign. So, we simply have to move the term with x (-3/2x) to the other side by adding.
Finished product:
3/2x+y= 13/2
Step-by-step explanation:
What is this the answer?
Answers
Answer:
14
It is 14 because the function of g equals 5 and the function of f equals 9
Answer:
c) 14
Step-by-step explanation:
f(x) = x²
f(-3) = (-3)² = -3 * - 3 = 9
g(x) = 2x - 3
g(4) = 2*4 - 3 = 8 - 3 = 5
g(4) + f(-3) = 5 + 9
= 14
subtract the product of 7 and 5 from r
Answers
Answer: 2
Step-by-step explanation:
What’s the slope of the line?
Answers
Answer: slope is 0.5.
Step-by-step explanation: Divide vertical movement by horizontal movement
Answer:
2
Step-by-step explanation:
8. REINFORCE The support of a swing set is in the shape of an "A".
However, the swing sits on uneven ground as shown in the
diagram. Explain how you can move the support bar, DE, to
make it parallel to the ground, represented by BC . Use angles in
your explanation.
E
Answers
Answer:
so the a is considered to be the angle
Slope -4 and y-intercept (0,5)
Answers
Answer: y= -4x+5
Step-by-step explanation:
Y=Mx+b
PLSS PLSS HELP ME!!! I WILL MARK U!
Answers
h= -41.36
You first multiply -8.1(-0.4) and you get 3.24.
Then you subtract 3.24 - 44.6 to get h.
pls solve for x thank you
Answers
Answer:
X=4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
hope this helps! <3
Experiment with different types of polygons, such as a triangle, rectangle, parallelogram, pentagon, hexagon, and so on, and revolve them around an axis of rotation. Try to create interesting or unusual solids of revolution. Describe at least two unusual shapes that you can make by revolving a polygon.
Answers
Answer:
Polygon 1Axis of Rotation 2Solid of Revolution
irregular pentagon :
1axis of symmetry 2diamond-shaped solidright triangle:
1hypotenuse 2two cones with a common circular baseStep-by-step explanation:
PLATO hope this helps
Answer: hope this helps
To find the surface area of a cube, find the sum of the areas of each face. Since the faces are squares and a cube has 6 faces, multiply the area of one face by 6 to find the total surface area.
Asquare face = 52
SAcube= 652
Find the surface area of the cube above when s=6
please help!!!
Answers
Answer:
i tried to find the answer but its not working for me... hold on imma try again
Step-by-step explanation:
find the product of (2x-3) and (x+3)
Answers
Answer:
(2x - 3) * (x + 3)
=> (2x * x) + (-3 * 3)
=> 2x - 9
=> 2x -9
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
the function p(x)=-2(x-9)^2+100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 a piece?
A.)$15
B.)$28
C.)$172
D.)$244
Answers
Answer:
C. $172
Step-by-step explanation:
You plug in $15 into the problem and solve from there.
HELP ASAP WILL GIVE BRAINLIEST
2(2s−3t)
s= 5.2 and t=1.9
Answers
Answer:
9.4
Step-by-step explanation:
2(2s - 3t)
Substitute s and t for 5.2 and 1.9
2(2 x 5.2 - 3 x 1.9)
Multiply Inside the Parenthesis
2(10.4 - 5.7)
Subtract Inside the Parenthesis
2(4.7)
Multiply to get
9.4
Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
A Gravity is a constant force.
B The bowling ball will adapt to the changes in gravity.
C Matter is resistant to acceleration and changes in gravity.
D The amount of matter in the bowling ball remains the same.
Answers
Answer:
It’s d
Step-by-step explanation: