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]
Pls help i dont get i t
The store is selling 6 oranges for $ 1.80. How much will it cost to buy 16 orange .Show work .
Answer:
$4.80
Step-by-step explanation:
6 oranges for 1.80
sp 6 divided by 1.80 comes out to 0.3 per orange
0.3 times 16 comes out to 4.80
therefor $4.80
Answer:
$4.80
Step-by-step explanation:
1.80/6=0.3
0.3=$0.30 for each orange
16×0.3=4.8
4.8=$4.80 for 16 oranges
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:
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
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
(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
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:
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 unitsDwayne 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
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
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.
PLEASE ANSWER ASAP!!!
Step-by-step explanation:
Part A
-2 -2+7=y y= +5 y=5
-1 -1+7=y y= 6
0 0+7=y y= 7
1 1+7=y y=8
2 2+7=y y=9
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
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
As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?Please explain why you chose this answer to better understand.
a. Calories
b. Energy
c. Distance
d. Speed
Answer:
c because the distance is important
1.)How many people chose superman or thor?
2.) How many people chose Thor than The Hulk?
3.) How many more people chose Thor than Batman?
Answer:
40% chose superman or thor
8% chose thor more than hulk
And 12% chose batman than Thor
Answer:
1) 40% of people chose Superman or Thor
2) 8% more people chose Thor than The Hulk
3) 15% more people chose Thor than Batman
Step-by-step explanation:
29 + 11 + 13 + 13 + 21 = 86
100 - 86 = 14
Batman: 14%
29 + 11 = 40
29 - 21 = 8
29 - 14 = 15
I WILL MARK BRAINIEST
Answer:
m<4= 60
m<1=60
m<3=30
Step-by-step explanation:
I'd like to explain but I would be very difficult to do with out being in person
Answer:
m1 = 60°
m2 = 90°
m3 = 30°
m4 = 60°
Step-by-step explanation:
m<5 + m<4 = 180° ( on a straight line)
120° + m<4 = 180°
m<4 = 60°
m<2 = m<3 + m<4
90° = m<3 + 60° ( on a straight line)
m<3 = 90° - 60°
m<3 = 30°
m<1 + m<2 + m<3 = 180°
m<1 = 180 - 90 -30
m<1 = 60°
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
what are vowels in numbers
hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...
Answer:
the letter "u" and "e"
Step-by-step explanation:
vowels in english are: a, e, i, o, u
hope this helped but if you have any others questions, please feel free to let me know!
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
Why is this the answer can u show work please
Giving extra points
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
A baby weighed 7.5 pounds at birth. At the end of 11 months, the baby weighed 2 times its birth weight. How many pounds did the baby weigh at the end of 11 months?
Answer:
15. yessir thats itbro
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!!
Consider the expression 3(5+2•4)+(-3)
i've considered it, ty
Pls help i need to get this done or i will get grounded for a week
Answer: the answer is 3
Step-by-step explanation:
Isolate the x so in other words do the opposite, then you have your answer.
Answer:
D
Step-by-step explanation:
BRUH ALL IT SAYS IS "IT HAS ADDITION" HOW CAN YOU NOT SEE THAT I-
Brooke already owns 4 necklaces, and additional necklaces are priced at 2 for a dollar. With $2 to spend on new necklaces, how many total necklaces can Brooke own? Write and solve an equation to find the answer.
4+1+1=6
Step-by-step explanation:
she already has 4 necklaces so than she got 2 for a dollar so that equals 6.
Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c
valor de x de (5x-20) 85
Identify which of these terms do not belong with the other three: square,circle , hexagon or triangle and explain your reasoning
Answer:
Circle
Step-by-step explanation:
It dosen't have sides