Answer: A
Step by step
Identify the slope and y-intercept of each of the following lines. Then graph each line.
6x + 2y = 12
attached graph
I am confused...
Answer:
y=6−3x
y=mx+b
y=−3x+6
Find the values of m and b using the form y=mx+b.
m=−3
b=6
Graph the line using the slope and the y-intercept, or the points.
Slope: −3
y-intercept: (0,6)
x, y
0,6
2,0
Step-by-step explanation:
hope this helps
Answer:
Below!
Step-by-step explanation:
The provided equation is in standard form. To convert it to slope intercept form, we need to have the y-variable isolated (as much as possible) on the L.H.S. Let's start the process by subtracting 6x both sides. This will isolate the y-variable and the cooeficient of the y-variable.
⇒ 6x + 2y = 12⇒ 6x - 6x + 2y = 12 - 6x⇒ 2y = 12 - 6xTo further isolate the "y" variable, let's divide 2 both sides. This will isolate the cooeficient of the y-variable. Once the cooeficient of the y-variable is fully isolated, we simply need to simplify the R.H.S (If needed). Then, the equation obtained is in slope intercept form.
⇒ 2y/2 = 12/2 - 6x/2⇒ y = 12/2 - 6x/2LIkewise, since the R.H.S can be simplified, let's simplify the R.H.S. The equation we obtained for now is in slope intercept form, but the simplified equation would help us to graph the line.
⇒ y = 12/2 - 6x/2⇒ y = 6 - 3xWhen we look at the slope intercept form formula (y = mx + b), we can see that "6" and "3x" needs to be switched.
⇒ y = -3x + 6 (Slope intercept form)Finally, lets plot the line on the graph. To plot the line on the graph, we need to determine the x-intercept and the y-intercept.
y-intercept: (0, 6)The x-intercept is the R.H.S of the equation we obtained. Keep in mind that the "y" variable will be 0.
⇒ -3x + 6 = 0Once we found the solution, we will determine two points of the line and lastly, we will plot the line on the graph.
⇒ -3x + 6 - 6 = 0 - 6⇒ -3x = -6⇒ -3x/-3 = -6/-3⇒ x = 2Thus, we obtained the following points:
x-intercept = 2 ⇒ Point obtained: (2, 0)y-intercept = 6 ⇒ Point obtained: (0, 6)→ Then, plot these points on the graph. Remember, x coordinate first.
→ Finally, we can draw a line through these points.
And we are done!
Graph:-
Try it! 2
A test weight is dropped from the top of a fire department
training tower onto a net three feet off the ground. Use - 16t2 for the change
in height per second.?
a.) Write an equation to determine the time
it takes for the test weight to drop on the
net.
67 ft
b.) How long does it take before the test
weight is caught by the net? Explain.
Using quadratic function concepts, it is found that:
a) The equation is: 16t² - 64 = 0.
b) It takes 4 seconds before the weight is caught by the net.
What is the quadratic equation for a projectile's height?It is given by:
h(t) = -16t^2 + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
In this problem, the object starts from rest at a height of 67 ft, hence v(0) = 0 and h(0) = 67.
Then, the equation for the height is given by:
h(t) = -16t^2 + v(0)t + h(0)
h(t) = -16t^2 + 67
It hits the net when h(t) = 3, hence:
3 = -16t^2 + 67
16t² - 64 = 0.
Item b:
16t² = 64
[tex]t = \pm \sqrt{4}[/tex]
t = 4, as time is positive.
It takes 4 seconds before the weight is caught by the net.
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solve for x:
x/9 − 5 = 5
x=
Answer: 90
Step-by-step explanation:
10 - 5 = 5 and 90/9 = 10 so x is 90
Write in decimal form:
7 × 100 +
6 × 10 +
5 × 1 +
0 × (1/10) +
3 × (1/100) +
7 × (1/1000)
Answer:
765.037
Step-by-step explanation:
7 x 100 = 700
6 x 10 = 60
5 x 1 = 5
0 x (1/10) = 0
3 x (1/100) = 0.03
7 x (1/1000) = 0.007
Add them all up and you'll get 765.037.
What is the area under the curve f (x) e ^ 2x between x1 = 0 to x2 = 2.
Answer:
26.75 unit^2 to the nearest hundredth.
Step-by-step explanation:
Integrating between the 2 limits:
2 2
Area = ∫ e^2x dx = [ 1/2 e^2x ]
0 0
= 1/2( e^4 - e^0]
= 1/2(54.598 - 1)
= 26.749
The heat Q required to raise the temperature of water varies jointly as the mass m of the water and the amount of temperature change T, and Q=20930 joules (J) when m=1kg and T=5 degrees C. Find m when Q=8372 J and T=10 degrees C
Answer:
m = 0.2 kg.
Step-by-step explanation:
Joint variation:
Q = kmT where k is a constant.
Subsituting the given values:
20930 = k*1*5
k = 20930 / 5 = 4186.
So the relation is:
Q = 4186mT
When Q = 8372 and T = 10:
8372 = 4186 * m * 10
m = 8372 / (4186*10)
m = 0.2 kg.
Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)
A. $1.57 per pen
B. $15.67 per pen
C. $15.67 pens per dollar
D. $1.57 pens per dollar
Answer:
c
Step-by-step explanation:
A shop owner has only a 1 kg, 2kg, 4kg, and 8 kg weight for the balancing scale. Which of the following bags of flour cannot be weighted on this balance scale?
Answer:
see below
Step-by-step explanation:
Need the choices, 1- 15 can be weighed but 16 cannot be weighed
Edgar has $30 in an account that earns 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years?
Answer:
Total Interest = $3.08
Step-by-step explanation:
A = P (1 + r/n)^(nt)
A = 30(1+.05/1)^(1*2)
A = 33.08
We want to find interest only so subtract principal amount from total value
33.08-30 = 3.08
Total Interest = $3.08
Total Value = $33.08
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LOOK AT THE PICTUREE ILL TRY GIVING BRAINLYEST
Answer: 1/2
Step-by-step explanation: rise/ run
Find the distance from A to C across the gorge illustrated in the figure
Applying the tangent ratio, the distance from A to C across the gorge, is: 60.6 ft.
What is Tangent Ratio?The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.
Given the following:
∅ = 25°Adjacent length = 130 ftOpposite length = ACApply the tangent ratio:
tan 25 = AC/130
AC = (130)(tan 25)
AC = 60.6 ft
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A clerk earns $125 per day, plus a commission equal to
10% of her sales, s. The clerk earns less than $180 on
Monday
Enter an inequality that represents all possible values for
the clerk's sales, s, on Monday.
The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.
The total commission on her sales s = 10% x s
= 0.1s
The total money earn on monday = 0.1s + 125
The inequality represents all possible values for the clerk's sales, s, on Monday.
The clerk earns less than $180 on Monday.
0.1s + 125 < 180
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In circle G with m \angle FGH= 86m∠FGH=86 and FG=16FG=16 units, find the length of arc FH. Round to the nearest hundredth.
The length of arc FH in the circle 8.37 units.
What is circle?In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.
Here,
To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:
m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees
Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:
m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees
To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:
r = FG/2 = 16/2 = 8 units
The circumference of the circle is then:
C = 2πr = 2π(8) = 16π
To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:
Length of arc FH = (188/360) × C
Substituting the value of C, we get:
Length of arc FH = (188/360) × 16π
Simplifying and rounding to the nearest hundredth, we get:
Length of arc FH ≈ 8.37 units
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Answer:
FH=24.02
Step-by-step explanation: trust me
3(y-3)=-2y+6
it’s on my hw i don’t understand
explanation
3(y-3)=-2y+6
3y-9=-2y+6
5y-9=6
5y=15
y=3
The Tookesons want to trade in their station wagon on the purchase of a new station wagon. A used vehicle guide shows the average trade-in value is $9,480. They add $150 for air-conditioning, $75 for anti-lock brakes, and $150 for the CD player. They subtract $100 for a manual transmission and $300 for excessive mileage. What is the average trade-in value of their wagon?
Answer:
George Garcia wants to purchase a used station wagon. One used-vehicle guide shows the average retail value of the station wagon at $13,000. Add $50 for having ...
2 pages
Step-by-step explanation:
What is the sum of 5.2 x 108 and 2.3 x 108?
Answer: 7.5 × 10⁸
Step-by-step explanation:
They are both rairaised to power of 8, so you can add 5.2 and 2.3
Percent of change 125 is increased to 200
Answer:
60
Step-by-Step Explanation:
(200-125):125*100 =
(200:125-1)*100 =
160-100 = 60
Now we have: What is the percentage increase/decrease from 125 to 200 = 60
Answer:
+63%
Step-by-step explanation:
We need to divide to solve this :)
125/200 = 0.63 x 100 = 63%
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Um, what's the value of e,
[tex]9e+4=-5e+14+13e[/tex]
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
→ Answer :-[tex]\sf{e = 10}[/tex]
→ Explanation :-[tex]\sf{9e \: + \: 4 = -5 \: + \: 14 \: + \: 13e}[/tex]
Group like terms:[tex]\sf{\sf{9e \: + \: 4 = -5 \: + \: 13e \: + \: 14}[/tex]
Add similar elements: [tex]\sf{^-^5^e \: ^+ \: ^1^3^e \: ^= \: ^8^e}[/tex][tex]\sf{9e \: + \: 4 = 8e \: + \: 14}[/tex]
Subtract [tex]\sf{4}[/tex] from both sides:[tex]\sf{9e \: + \: 4 - 4 = 8e \: + \: 14 \: - \: 4}[/tex]
Simplify:[tex]\sf{9e = 8e \: + \: 10}[/tex]
Subtract [tex]\sf{8e}[/tex] from both sides:[tex]\sf{9e \: - \: 8e = 8e \: + \: 10 \: - \: 8e}[/tex]
Simplify:[tex]\sf{e = 10}[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
Answer:
e = 10Step-by-step explanation:
In this question we are provided with an equation that is 9e + 4 = -5e + 14 + 13e . And we are asked to find the value of e .
Solution : -
[tex] \longrightarrow \qquad \: 9e + 4 = {-5e} + 14 + { 13e}[/tex]
Step 1 : As there are like terms in right side . So we are solving them and get :
[tex] \longrightarrow \qquad \: 9e + 4 = 14 + 8e[/tex]
Step 2 : Subtracting 4 on both sides :
[tex] \longrightarrow \qquad \: 9e + \cancel{4 }- \cancel{4 }= 14 + 8e - 4[/tex]
Now , cancelling 4 with -4 and subtracting 4 from 14 :
[tex]\longrightarrow \qquad \: 9e = 10 + 8e[/tex]
Step 3 : Subtracting 8e on both sides :
[tex] \longrightarrow \qquad \: {9e } - {8e } =10 + \cancel{ 8e} - \cancel{ 8e}[/tex]
On further calculating , we get :
[tex]\longrightarrow \qquad \: \underline{\boxed{\bold{ \frak{{e = 10}}}}}[/tex]
Therefore , value of e is equal to 10.Verifying : -
We are verifying our answer by substituting value of e in given equation. So ,
9e + 4 = -5e + 14 + 13e9 (10) + 4 = -5 (10) + 14 + 13 (10)90 + 4 = -50 + 14 + 13094 = -50 + 14494 = 94L.H.S = R.H.SHence, Verified.Therefore, our value for e is correct .
#Keep LearningTwo prisms are similar and their ratio of similarity is 4:9.
Find the area of a base of the larger prism if the area of a base of the smaller prism is 47 square units.
Round to the nearest hundredth.
Pls show work!<3
Answer:
9:4,4:9,7:4,4:7,473
Step-by-step explanation:
4 times 9
9 times 4
7 times 4
4 times 7
473
percent discount
A $55.00 purse is on sale for $30.25
Answer:
2475%
Step-by-step explanation:
Number of elements in a set
I = (factors of 12
Answer:
1,2,3,4,5,6, 12
Step-by-step explanation:
because each of those divides 12
step right up for a new brainiest fair answer the question you get right you win the glorious brainiest
Answer:
Mean → 9
Median → 7
Mode → 4
Step-by-step explanation:
For mean ↓
(9+4+17+4+7+8+14) ÷ 7 = 9
For median ↓
G U E S S E D
For mode ↓
Mode is 4 because it is shown twice in the data.
2 x 2 = 4
Hope this helped! :^)
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Submitted on 4/14/2022 at 6:31 PM
(To avoid plagarism, by users whom decide to copy.)
A town has a population of 90,200 and shrinks at a rate of 2% every year. Which equation represents the town’s population after 7 years
Answer: f(x) = 90,200 (1-.002)^7
Step-by-step explanation:
f(x) = a (1 - r)^t
a - initial amountr - ratet - timef(x) = 90,200 (1-.02)^7
The equation f(7) = 90,200 (1 - 0.02)⁷ represents the town’s population after 7 years.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
A town has a population of 90,200 and shrinks at a rate of 2% every year.
As we know the exponential equation for the population as
f(n) = a (1 - r)ⁿ
Where a is the initial population
r is rate
n is years
As per the question, we have
a = 90,200, r = 2/100 = 0.02, and t = 7 years
Substitute the known values in the above equation, and we get
f(7) = 90,200 (1 - 0.02)⁷
This equation represents the town’s population after 7 years.
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Which scatter plot best represents a linear association between y and x ?
Answer:
D
Step-by-step explanation:
it looks more like a line.
A is exponential
B is a parabola
C is no association
Find the perimeter of the parallelogram please.
Answer:
39.6
Step-by-step explanation:
The perimeter is simple, just add the sides up which is 19.2+20.4 which is the answer.
Answer: 39.6
Step-by-step explanation: 2 (Length + width)
2( 10.2 + 9.6)
can someone help with this
Answer:
2.4
Step-by-step explanation:
6 / 2 1/2 = 2.4
Hope This Helps
-28-6b=8 I can’t get the answer I need help.
Answer:
6
Step-by-step explanation:
-28-6b=8
-6b=36
b=6
when 1/6 is written as a repeating decimal, which decimal is repeating
Answer:
1.66666... the number 6 is repeating
Answer:
1. ¯6 or 1.66666.... and 6 is the repeating number
Which measure does not change when a wave moves from one medium to another?(1 point)
Answer:
The frequency and phase.
Step-by-step explanation:
The medium has no effect on the frequence or the phase.
The Algebra teachers at Blue Field High School need to buy new textbooks and calculators for the math department. The textbooks cost $105.00 each, and the calculators cost $120.00 each. If the teachers have $4,000 to spend and purchase 25 calculators, how many textbooks can they buy?
Answer: 9 textbooks
Step-by-step explanation:
25 x 120.00 = 3,000
4,000 - 3,000 = 1,000
9 x 105.00 = 945
1,000 - 945 = 55
The teacher can only buy 9 textbooks since she/he doesn't have enough money to get anymore.