The equation 3x + 4y = 8 can be expressed in slope-intercept form as y = (-3/4)x + 2.
To express the equation 3x + 4y = 8 in slope-intercept form, we need to isolate y on one side of the equation. The slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.
Let's rearrange the given equation:
3x + 4y = 8
First, subtract 3x from both sides to isolate 4y:
4y = -3x + 8
Next, divide both sides by 4 to obtain y alone:
y = (-3/4)x + 2
Now, we have the equation in slope-intercept form, y = (-3/4)x + 2.
From this form, we can identify the slope, which is -3/4, and the y-intercept, which is 2. The slope represents the rate of change of y with respect to x, and the y-intercept represents the point where the line intersects the y-axis.
To learn more about the slope;
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Find the slope of the line passing through the points (-9, -6) and (-4,5).
Answer:
11/5 or 2 1/5
Step-by-step explanation:
i hope that helped, plz correct me if im wrong :)
CAN ANYBODY DO THESE
Answer:
1. 44.23077
2. 30%
3. 72
4. 214.2
5. 75%
Step-by-step explanation:
Am I correct?
If not can someone help me?
Answer:
Yes you're right!!
Step-by-step explanation:
Help me ASAP for this question
A point located at (-5, 2) is translated right 3 units. What are the coordinates of the image?
(-2,5)
(-2,2)
(-5,5)
(-5, -1)
Set up a tape diagram for the equation 2x + 10 = 20
Answer is X=5
Subtract
10 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
and done
Can somebody help with this?
Answer:
The height of the pyramid is 11.8 cm to the nearest tenth of a cm
Step-by-step explanation:
The formula of the volume of a pyramid is V = [tex]\frac{1}{3}[/tex] × A × h, where
A is the area of its baseh is its height∵ A right rectangular pyramid has base dimensions of 23.2 cm, 17.0 cm
∵ The area of the rectangle = Length × width
→ Assume that the length is 23.2 and the width is 17.0
∴ A = 23.2 × 17.0
∴ A = 394.4 cm²
∵ Its volume is 1552.4 cm³
∴ V = 1552.4 cm³
→ Substitute A and V in the rule above
∵ 1552.4 = [tex]\frac{1}{3}[/tex] × 394.4 × h
∴ 1552.4 = [tex]\frac{1972}{15}[/tex] h
→ Divide both sides by [tex]\frac{1972}{15}[/tex]
∴ 11.80831643 = h
→ Round it to the nearest tenth of a cm
∴ h = 11.8 cm
∴ The height of the pyramid is 11.8 cm to the nearest tenth of a cm
Mike is 5 years older than David. Four times David’s age increased by three years equals three times Mike’s age decreased by two years. Find Mike’s age.
Answer:
15 years
Step-by-step explanation:
Write as an algebraic equation-
D+5=M
4D+3=3M-2
substitute
4D+3=3D+15-2
4D+3=3D+13
subtract 3 and 3D
D=10
Plug in D
10+5=M
M=15
Type the correct answer in each box. Use numerals instead of words.
Dane has a handful of change worth $2.65. There are 17 coins, including quarters, dimes, and nickels. If Dane has four times as many dimes as
nickels, how many of each coin does he have?
Dane has
quarters
dimes, and
nickels.
Answer:
Quarters=7
Dime=8
Nickel=2
Step-by-step explanation: 8*.10=.80, 2*.05=.10, 7*.25=1.75 If you add them up you get 2.65.
Is the following relation a function?
Yes
No
Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative result on this test. If 5 percent of a certain population has the disease, what percent of that population would test positive for the disease?
Answer: 0.14
Step-by-step explanation:
At Thompson Pass, 12 inches of snow fell during a 16 hour period. At this rate how much snow would fall in 24 hours? Pls help!
Answer:
18 inches of snow
Step-by-step explanation:
First, you'll have to find how much snow falls in a hour: 12/16 = .75 inches
Secondly, you'll multiply that by 24 to find the inches in a full day: 24 x .75 = 18
Answer:
18 inches of snow
Step-by-step explanation:
12:16
24 if you know the butterfly method which is 12/16=24 multiply 12 and 24 together and get 288 and then divide it by 16 which you get 18 inches of snow
what is 17 + 64 + 124 + (3^2 x 5) - 14 = ?
Answer:
9x⁵ + 191
Step-by-step explanation:
Simplify: 17 + 64 + 124 + 9x⁵ - 14
Collect Like Terms: 9x⁵ + (17 + 64 + 124 - 14)
Simplify: 9x⁵ + 191
Brainliest Please!!?!!!!
- ElizabethKate
There are 400 mangoes in a barrel. Each mango weighs 0.75
pounds. What is the total weight of the mangoes in the barrel?
Answer:
Weight of 1 mango = 0.75 pounds
Weight of 400 mangoes = 400* 0.75
= 300 pounds
The total weight of the mangoes in the barrel is 300 pound.
Find the measure of the angle indicated in bold
Answer:
29) 60°
30) 80°
Step-by-step explanation:
29)
8x + 4 = 11 + 7x
x = 7
∴ ∠ = 11 + 7(7) = 60
30)
14x - 4 = 12x + 8
2x = 12
x = 6
∴ ∠ = 14(6) - 4 = 80
It cost $2.50 to rent bowling.each game costs $3.25.you have $22. How many games can you bowl
Answer:
6 games
Step-by-step explanation:
Use the equation 2.5+3.25x=22 to solve in which $2.50 is the initial amount to rent for Bowling, $3.25 the amount of game that is played, $22 for what you have, and x in which is the amount of games you can play at the max. Subtract 2.5 on both sides to get to 3.25x = 19.5. Divide 3.25 on both sides to get your final answer as 6 for your x value in which you can play up to 6 games.
Answer:
6 games
Step-by-step explanation:
you do 2.50 - 22 this you divide 3.25 by what you have left
A new auditorium is begging built for a college the balcony has 200 seats the floor has 25 rows with x seats in each row the number of people in the auditorium must be under 750 to meet safety regulations what is the solution of this inequality and what is it's meaning
Question:
A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?
Answer:
[tex]200 + 25x < 750[/tex]
Number of seats in a row must be less than 22
Step-by-step explanation:
Given
Total = Less than 750
Current Seats = 200
Rows = 25
Seat per row = x
Required
Represent as an inequality
The scenario will be represented as:
[tex]Current\ Seats + Rows * x = Total[/tex]
Substitute 200 for Current Seats
[tex]200 + Rows * x = Total[/tex]
Substitute 25 for Rows
[tex]200 + 25* x = Total[/tex]
[tex]200 + 25x = Total[/tex]
Substitute <750 for Total.
The equation then becomes
[tex]200 + 25x < 750[/tex]
Solving further:
[tex]25x < 750 - 200[/tex]
[tex]25x < 550[/tex]
[tex]x < \frac{550}{25}[/tex]
[tex]x < 22[/tex]
This means that:
Number of seats in a row must be less than 22
15x - 7
Thornwood Drive
Jim's
Holly Drive
Adam's
The distance from Jim's house to the intersection of Thornwood Drive and Holly Drive is given by the expression 15x - 7. The total
distance from Jim's house to Adam's house when traveled on Thornwood Drive and Holly Drive is given by the expression 23x - 2.
Find a single expression that represents the distance from Adam's house to the intersection of Thornwood Drive and Holly Drive.
A)
8x + 5
B)
8x - 9
38x + 5
D)
38x - 9
-4(2x+4)=-7x
solve for x
Answer:
x should equal 16
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the red
graph?
Step-by-step explanation:
Option B is correct as the y-intercept is 6.
The variable m in slope intercept form represents the y- intercept ? True or false
No.
m represents the slope while b represents the y-intercept.
Answer: False
Step-by-step explanation:
Because the slope-intercept form is y=mx+b and m represents slope.
There are approximately 12 inches in 1 foot. If Johnny is 5 feet and 4 how tall is he in inches?
Answer: It's 64
Step-by-step explanation:
12x5=60
60+4=64
Answer:
64 inches
Step-by-step explanation:
I GIVE U BRAINIESt THINg PLZ HelP ASAP pLzBshiwwjbsshh
Answer:
She should of used quotient rule since the beginning but if not its step 2
Step-by-step explanation:
benjamin rode his bicycle 3.6 miles on saturday and 4.85 miles on sunday how many miles did he ride saturday and sunday combined?
Step-by-step explanation:
The total is 3.6 + 4.85 = 8.45.
Answer:
your answer is 8.45
its C
an angle measures 115.4° less than the measure of its supplementary angle what is the measure of each angle
Answer:
32.3° and
147.7°
Step-by-step explanation:
Supplementary angles are angles with the sum of 180°
if one of the angle is 115.4° less than other then
(180 - 115.4) ÷ 2 = 32.3° is the measure of smaller angle and
32.3 + 115.4 = 147.7° is the measure of larger angle
Alicia borrowed $3000 from a bike at a rate of 12% simple interest per year how much interest did she pay in four years
Answer:
$1440
Step-by-step explanation:
$3000 (12%) = 360
360 x 4 = 1440
Hope this helps!
When light bounces off the surface of an object what is it called.
Answer:
specular reflection
Step-by-step explanation:
Answer:
Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. This is called specular reflection.
Step-by-step explanation:
hope this helps
Jay has lost his mother’s favorite necklace, so he will rent a metal detector to try to find it. A rental company charges a one time rental fee of $15 plus $2 per hour to rent a metal detector. Jay has only $35 to spend. What is the maximum amount of time he can rent the metal detector?
Answer:
he can rent it for 10 hours
Step-by-step explanation:
35 - 15 = 20
20 divided by 2 equals 10
Answer:
10 hours
Step-by-step explanation:
Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:
15 + 2x = 35
Subtract 15 from both sides
2x = 20
Divide by 2 on both sides
x = 10
Which statements prove that a quadrilateral is a parallelogram?
Select each correct answer.
a. Quadrilateral DEFG has two sets of consecutive angles that are complementary.
b. Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.
c. Quadrilateral DEFG has opposite angles that are congruent.
d. Quadrilateral DEFG has diagonals that are congruent.
Answer:
Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.
Quadrilateral DEFG has two sets of consecutive angles that are supplementary.
Step-by-step explanation:
Took the test
Answer:
Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.
Quadrilateral DEFG has opposite angles that are congruent.
Step-by-step explanation:
Verified correct with test results!
WILL GIVE BRAINLIEST
Estimate the solution of the equation a(x) = b(x)
IMAGE BELOW
Answer:
The solution of the equation a(x) = b(x) is (9, 5.5)
Step-by-step explanation:
The solution of the system of the linear equations is the common ordered pair in their solutions, this solution is the point of intersection of the lines which represent the two equations graphically
In the given figure
∵ There are two lines, the blue line, and the red line
→ Let the blue line represents a(x) and the red line represents b(x)
∵ The solution of the equation a(x) = b(x) is the point of intersection of
the two lines
∵ The x-coordinate of this point is 9
∵ The y-coordinate of this point is between 5 and 6 (5.5)
∴ The coordinates of the point of intersection are (9, 5.5)
∴ The solution of the equation a(x) = b(x) is (9, 5.5)