Which relation is a function?
Answer:
D
Step-by-step explanation:
To find out whether a graph is a function or not, you can use the vertical line test, which means if you were to draw a vertical line on the graph at any point, if it would cross over 2 lines, it's not a function. D is the only graph that wouldn't fail the vertical line test.
Match the graph with its equation
Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$. If line $2$ represents the graph of $y=mx +b$, then find $m+b$.
Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
move the x to the right of the equation
4y = -3x - 14
divide the whole equation by 4
y = -3/4x - 14/4
Line 1 is y = -3/4x - 7/2
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
plug in the y, m, and x into the equation
7 = (4/3)(-5) + b
multiply the m and x together
7 = -20/3 + b
add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation
41/3 = b
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
I’ll give the Brainliest to who answers these questions first.
Brock has $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and $169 for a loan payment. Find the amount remaining in his account. Explain.
Linda’s pay check was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on transportation, and $290 on other things. She put the rest of her pay check in savings. How much did she put in savings? Explain.
Answer:
the amount remaining in brocks checking account is $2290. 3084 - 350 - 275 - 169 = 2290
Linda has $831 in her savings. 2312 - 157 - 322 - 478 - 234 - 290 = 831
Answer:
the amount remaining in Brocks account is 2,290
the amount remaining in Linda's is 353
Step-by-step explanation:
i found the amount by Subtracting
Write y = 4x + 2 in Standard form.
Answer:
4x-2=y
Step-by-step explanation:
(-9.5) to the power of 0
Solve the following equations.
1) 10 + x = 13
2) y - 13 =23
3) 4b = 24
4) m/5=7
Answer:
1) x = 3
2) y = 36
3) b = 6
4) m = 35
Step-by-step explanation:
1) x = 13-10 =3
2) y = 23+13 =36
3) b = 24÷4 =6
4) m = 5×7 =35
If f(x)=5x+2 and g(x)=x-1 what is f(g(4))
the area of the larger square is ____ times larger than the area of the small square
Answer:
The area of the larger square is 16 times larger than the area of the small square.
Car A travels 127 miles in 4 hours. Car B travels 350 miles in 4 hours. Car C travels 583 miles in 14 hours. Which car has the fastest average speed?
Answer:
B is the answer
Yall can you answer this.
What is 7/9 divided by 1/3???????
Answer:
0.259...
Step-by-step explanation:
A rectangle has a perimeter of 80. if the length is four more than twice the width, what is the length of the rectangle
Answer:
28
Step-by-step explanation:
l = length
w = width
p = perimeter
w = w
l + l + w + w = p (adding all the rectangle's sides together gets us our perimeter)
l = 2w + 4 (four more than twice the width)
Substitute 2w + 4 for 'l' in the original equation
(2w + 4) + (2w + 4) + w + w = 80
Solve equation normally:
6w + 8 = 80
6w = 72
w = 72/6 = 12
(w = 12)
Length = 2w + 4
Substitute 12 for 'w':
2(12) + 4 = l
24 + 4 = l
28 = l
The length is 28
An 8-question true or false quiz is given to a class. If Lee guessed every question,
how many would she expect to be correct?
Work Shown:
n = number of questions = 8
p = probability of getting a question correct = 1/2 = 0.5
n*p = number of questions we expect Lee to get correct
n*p = 8*0.5
n*p = 4
We expect Lee gets about 4 questions correct.
4 question that lee guessed would be correct.
There 8 question of true and false.
Lee guessed every question.
Probability can be defined as ratio of favorable outcomes to the sample of events.
Here,
Probability of guessing right answer = 1/2 = 0.5
Probability of lee guessing right answer out of 8 question.
= 0.5 x 8
= 4
Thus, 4 question that lee guessed would be correct.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
Fill in the missing terms.
a) 1 : 2 = ___ : 4 b) 1 : ___ = 3 : 6 c) 3 : 5 = ___ : 10
d) 1 : 5 = 3 : ___ e) ___ : 6 = 1 : 3 f) 9 : 15 = ___ : 5
a) 2
b) 2
c) 6
d) 15
e) 2
f) 3
Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long. What is the width in inches
Answer:
Sorry you will have to clarify more on the width I do not under stand :/
Step-by-step explanation:
Answer: A=14
Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14
Which expression is equal to (x/2) (x+2/3)
Answer:
If is in that form (the blue part ) ,then the answer is that one
4x+14=6x+8
Solve please
Answer:
x=3
Step-by-step explanation:
Evaluate the expression. |18 – 4| 22 14 –14 –22
Work Shown:
|18-4|
|14|
14
You subtract 18-4 to get 14. Applying absolute value on a positive number leads to the same result.
Answer:
14
Step-by-step explanation:
|18 – 4|
First find the value inside the absolute value bars
18-4 is 14
|14|
Then take the non negative value
14
The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?
Answer:
a = 14.19 feet
Step-by-step explanation:
Given that,
The area of a square shaped yard is 201.5 ft²
We need to find the side length of this yard in feet.
The area of a square shaped object is given by :
A = a², a is the side length of the object
Put A = 201.5 ft² in above formula,
[tex]201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}[/tex]
So, the side of the square yard is 14.19 feet.
Using the distributive property, an expression equivalent to 34 + 16 is
A.2(17+ 8)
B.17(2+8)
C. 34+ (4) (4)
D. (2)(17) + (4) (4)
Answer:
A. 2(17+8)
Step-by-step explanation:
distribute and you get 2x17=34 and 2x8=16
This question is hard and I don’t know it may u please help
Answer:
Mark's total salary is 22,260
Step-by-step explanation:
well, his base salary is 21,000.
if you look at the diagram, the added bonus is 6% of the base salary.
6% can be rewritten as 0.06
0.06 * 21,000 = 1,260
the total salary is just the base salary and the bonus salary added together.
21,000 + 1,260 = 22,260
HELPPP ASAP!
Find the slope between the two points.
(3,7) (2,9)
m= 2
m= -2
m= 0
m = 1
Does anyone know the answer to this??
Answer:i know something about it:
the AEB thingy is the angle that has the 5x- 10 thing. if you know what the 5x thing means, then you subtract the 5x mystery number from 10. and if you see the points A,E, and B, those are the angle points.
Step-by-step explanation:
i'm sorry that i didn't know about all the things, but i hope you know what the 5x thing is.
If an object is projected upward from ground level with an initial velocity of 48ft per sec, then its height in feet after t seconds is given by s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum height? The object will take __ second(s) to reach its maximum height. (Simplify your answer.) The maximum height reached by the object is __ feet. (Simplify your answer.)
Answer:
t = 1.5 s and s(t) = 36 feet
Step-by-step explanation:
The height reached by an object as a function of time t is given by :
[tex]s(t)= -16t^2+48t[/tex] ...(1)
t is in seconds
To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]
It will take 1.5 seconds to reach its maximum height.
Put t = 1.5 s in equation (1), such that,
[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]
The maximum height reached by the object is 36 feet.
the percentage of boys in a school is 60%, and the number of girls are 200, calculate the number of boys and the total number of students?
Answer:
Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100
Step-by-step explanation:
So basically:
1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.
2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.
3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.
I hope this helps:)
Morgan can type 18 words
per minute. How long will it
take her to type 3
paragraphs? (Each
paragraph has 30 words)
Answer: it will take 5 minutes.
The width of a rectangle is three more than twice its length
yes it is! great job on coming up with that conclusion!
Answer:you have to add find the side length add 3 and double it and that’s the width. I don’t have measurements so I can’t fully help you.
Step-by-step explanation:
YESS
HELPPP
simplify the product (-8) (-6) (2)
I BEG HELP ME
Answer:
96
Step-by-step explanation:
Given
- 8 × - 6 × 2 ( the product of 2 negatives is a positive )
= 48 × 2
= 96
Five less than three times a number is 1. Find the number
Answer:
n = 2
Step-by-step explanation:
Step 1: Write equation
"Five less" = subtract 5
"three times a number" = 3 × n, or 3n
"is 1" means = 1
3n - 5 = 1
Step 2: Solve for n
Add 5 to both sides: 3n = 6Divide both sides by 3: n = 2