write an equation that passes through points (-6,1) (4,3)
[tex]y=mx+b[/tex]
First, we find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{3-1}{4+6} \\m=\frac{2}{10}\\m=\frac{1}{5}[/tex]
Second, we know the slope. Substitute any ordered pairs that are given in the equation.
[tex]y=mx+b\\y=\frac{1}{5}x+b\\[/tex]
I'll use the ordered pairs (4,3) as I substitute x = 4 and y = 3.
[tex]3=\frac{1}{5}(4)+b\\3=\frac{4}{5}+b\\15=4+5b\\15-4=5b\\11=5b\\\frac{11}{5}=b[/tex]
Therefore, the equation is [tex]y=\frac{1}{5}x+\frac{11}{5}[/tex]
A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W
Answer:
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].
Step-by-step explanation:
From Physics we understand that conversions are represented by the following linear equation:
[tex]u' = r\cdot u[/tex] (1)
Where:
[tex]u[/tex] - Original value, measured in original unit. (pounds)
[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)
[tex]u'[/tex] - Final value, measured in final unit. (gallons)
If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:
[tex]A = \frac{W}{8.34}[/tex]
The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].
The area of a soccer field is (24x? + 100x + 100) mº. The width of the field is (4x + 10) m. What is the length? A (3x + 10) m C (6x + 10) m B (6x + 1) m D (8x + 2) m
NEED HELP FAST
Answer:
The correct answer is C
someone please help me i am so bad with point slope stuff
Write the equation of the line that passes through the points (2,−6) and (6,-6).
Write the equation of the line that passes through the points (9,8)and (6,3).
Write the equation of the line that passes through the points (-9,-4) and (-9,-4).
What is the equation of the line that passes through the point (−8,5) and has a slope of 0?
What is the slope of the line that passes through the points (-2, 7)and (2, -5).
What is the slope of the line that passes through the points (6, -5)and (6, -8).
Answer:
1.) y = -6
2.) y = 5/3x - 7
3.) y = 5
4.) y = -3x + 1
5.) x = -3
Step-by-step explanation:
So the equation you want to use is this: [tex]\frac{y2-y1}{x2-x1}[/tex]
1.) Plug in
[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]
This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)
-6 = 0(2) + b (b represents y-intercept) (0*2=0)
-6 = b
So the equation is y = -6
2.) Do the same thing.
[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]
It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)
3 = 5/3(6) + b (5/3*6 = 10)
3 = 10 + b (subtract 10 on both sides)
-7 = b
y = 5/3x - 7
3.) For this one you are just going to point slope form. y - y1 = m(x - x1)
Plug in
y - 5 = 0(x - (-8))
y - 5 = 0 (add 5 to both sides)
y = 5
4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one
Plug in
[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]
So the slope is -3. Plug into y = mx + b with the point (2, -5)
-5 = -3(2) + b (b represents y-intercept)
-5 = -6 + b (add 6 to both sides)
1 = b
The equation is y = -3x + 1
5.) Do the same thing as #4
[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]
This slope is undefined
Since you can't divide by 0 the equation would be
x = -3
Hope this helps ya!!
I really need help on this one too please!
Answer:
53 degrees
Step-by-step explanation:
a complementary angle is 90 degrees and it's split, if one is 47 degrees, you do 90-47 which equals 53
Boris buys candy that costs $7 per pound. He will spend at least $63 on candy. What are the possible numbers of pounds he will buy?
Answer:
Anything above 9
Step-by-step explanation:
63/7=9
Find the average rate of change of h(x) = - x ^ 2 + 3x + 3 from x = 2 to x = 6 .
Answer:
The average rate of change is
Δy ÷ Δx = -20 ÷ 4
Δy/Δx = -20/4
= -5
Step-by-step explanation:
Given the function
[tex]h\left(x\right)\:=\:-x^2\:+\:3x\:+\:3[/tex]
Putting x = 6
[tex]h\left(6\right)\:=\:-\left(6\right)^2\:+\:3\left(6\right)\:+\:3[/tex]
[tex]=-36+18+3[/tex]
[tex]=-15[/tex]
Putting x = 2
[tex]h\left(2\right)\:=\:-\left(2\right)^2\:+\:3\left(2\right)\:+\:3[/tex]
[tex]= -4 + 6 +3[/tex]
[tex]= 5[/tex]
The change in y from 2 to 6 is
Δy = -15 - 5
= -20
The interval from 2 to 6 has a width of
Δx = 6 - 2
= 4
Therefore, the average rate of change is
Δy ÷ Δx = -20 ÷ 4
Δy/Δx = -20/4
= -5
Basketball shoes are on sale for 22% off. What is the regular price if the sale price is $42?
Answer:
x =53.85
Step-by-step explanation:
Let x be the original price
If the price is 22% of, you will pay 100% -22% = 78%
x * 78% = 42
Change to decimal form
.78x = 42
Divide each side by .78
.78x/.78 = 42/.78
Rounding to the nearest cent
x =53.85
a spring stretches to 18 cm with a 70 g weight attachment to the end. with a 100 g attached, it stretches to 24 cm . which equation models the distance y the spring stretches with weight x attached to it?
Answer:
Yes it is y=1/5x+4
Step-by-step explanation:
Find the measure of angle J
Answer:
Step-by-step explanation:
Equals 23x
I NEED ANSWER ASAP PLEASE
NEED HELP
rewrite the function f(x)=-3(x+3)^2-13
in the form f(x)=ax^2+bx+c
Answer:
-3x^2-18x-40
Step-by-step explanation:
(x+3)^2: x^2+6x+9
= -3(x^2+6x+9)-13
Expand:
-3(x^2+6x+9): -3x^2-18x-27
= -3x^2-18x-27-13
Final Answer: -3x^2-18x-40
Answer:
-3x^2-18x-40
Step-by-step explanation:
-3(x+3)^2-13
-3(x^2+6x+9)-13
-3x^2-18x-27-13
-3x^2-18x-40
valor de x de (5x-20) 85
Jennifer is renting a bicycle to ride along the beachfront. The rental charges include a fixed charge of $3 and an additional cost of $1.75 per hour. Which equation represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours?
Answer:
y = 1.75n + 3
Step-by-step explanation:
Answer:
1.75+3=t
Step-by-step explanation:
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?
Answer:
That the graph of (f+g)(x) is a parent graph of f(x) and g(x)
Answer:
A. The leading coefficients of f(x) and g(x) are opposite
Step-by-step explanation:
(please answer)
If f(x) = (x + 3) - 2, which of the following is the value of f(-3)?
Answer:
f(3)= 4
Step-by-step explanation:
x= -3=0
x= 3
f(3)=(3+3)-2
f(3)= 6-2
f(3)= 4
Consider the expression 3(5+2•4)+(-3)
i've considered it, ty
What is the volume for 14 8 10 10 10 8?
Answer:
I believe volume is three dimensions. And thus three terms, so I don't believe you have the right setup. Or you need to clarify something somewhere.
Step-by-step explanation:
What is the percent change of 500 to 100
Answer:
400%
Step-by-step explanation:
First, work out the difference (decrease) between the two numbers you are comparing. 500-100=400
Next, divide the decrease by the original number and multiply the answer by 100. 400/100=4
4 x 100=400
Hope I helped!
4.) What is the area of this shape?
Answer:
Its blurry, can you take another picture?
Step-by-step explanation:
Answer:
1456 square unitsStep-by-step explanation:
The shape can be considered as the combination of a square with the side of 28 and a triangle with base of (28 + 10 + 10) and the height of 28
Then the area of the shape is:
28*28 + 1/2*48*28 = 784 + 672 =1456 square unitsRobert say's he needs 250 plastics sleeves for his baseball card collection , He has 3084 baseball cards . Each sleeves holds 12 cards do you agree With Robert?
Answer:
no, he needs 257 sleeves
Step-by-step explanation:
3,084 ÷ 12 = 257
In right triangle ABC with right angle B, the sin 48° is equal to the cosine of what angle measure?
Answers:
48°
42°
90°
52°
Answer:
42
Step-by-step explanation:
from the trigonometric identity
[tex]sin \beta =cos(90 -\beta )[/tex]
if [tex]\beta[/tex]=48 hence
[tex]90-48=42[/tex]
hence
[tex]sin48=cos42[/tex]
Why is this the answer can u show work please
Giving extra points
Which of the following equations could be used to solve the given equation?
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
16x + 9 = 4x
16x + 11 = 4x
16x + 9 = 0
Answer:
16x + 9 = 4x
Step-by-step explanation:
9x+7x+26-17=2x-3x+5x
16x+9=4x
Pls help, the question is in the photo.
Which function describes this graph ?
Two cars head toward each other from opposite ends of a freeway 2286 miles long. If the speed of the first car is 68 miles per hour and the speed of the second car is 59 miles per hour, how long will it take before the cars pass each other? hours
Answer:
Step-by-step explanation:
multiply 68*59
Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown:
1) Let x = 0.5
2) 10x = 5.5
3) 10x = 5.5
-x = 0.5
________
9x=5
what is the fraction equivalent of 0.5?
A. 9/5
B.4/9
C. 5/9
D. 5/13
Answer:
C. 5/9Step-by-step explanation:
10x = 5.5
-x = 0.5
9x = 5
x = 5/9
therefore, the answer is C. 5/9
Find the quotient.
0.63
_____
-0.7
Answer:
- 0.9
Step-by-step explanation:
your welcome.what is quotient?a result obtained by dividing one quantity by another.
Select the correct answer.
What is the product of (7/8)(-16)(-7)(-1/14)
A -7
B -9/16
C -1/7
D 23/12
Answer:
A -7
Step-by-step explanation:
[tex]\frac{7}{8}[/tex] * -16 = -14
-14 * -7 = 98 (2 negatives make a positive)
98 * [tex]\frac{-1}{14}[/tex] = -7