the graph of linear function g is shown on the grid. What is the zero of g? (-8,3) (-3,-4.5)
Answers
Answer:
Zero of the function = (-6, 0)
Step-by-step explanation:
Let the equation of the function given in the graph is,
y = mx + b
where m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
b = y-intercept of the line
From the graph attached,
Slope of the line passing through (-8, 3) and (-3, 4.5) = [tex]\frac{-4.5-3}{-3+8}[/tex] = -1.5
y - intercept 'b' = -9
Therefore, equation of the line will be,
y = -1.5x - 9
Function representing this line will be,
g(x) = -1.5x - 9
Zeros of the given function will be,
g(x) = 0 Or x-intercept
-1.5x - 9 = 0
x = -6
Therefore, zero of the given function is (-6, 0).
Related Questions
A television with a 5:3 screen shows an image with a ratio of 5:4 which creates a letter boxed image. What percent of the screen’s area is occupied by the image?
a)
133%
b)
75%
c)
20%
d)
33%
e)
25%
Answers
Answer:
C
Step-by-step explanation:
(PLS HELP 50 PTS + BRANLIEST)
A={2, 3, 5, 7, 10} B={1, 4, 6, 8, 9, 10}, C={5, 6, 7}. The universal set U={1, 2, 3, 4, 5, ...10} List the elements of the following:
AUC=
A⋂U=
A⋂Ø=
Ā=
ĀUB=
Answers
Answer:
AUC= {2,3,5,6,7,10}
The second one=A
The third one= empty
I'm sorry. I don't know the others.
A chemist is performing an experiment by observing the effects when she combines two solutions. She monitors the temperature of the combined solution over the course of eight hours and records it in this table below.
The chemist can model the temperature with a polynomial function. During these eight hours, over what interval is the temperature decreasing?
A. From hour 0 to hour 8
B. From hour 5 to hour 8
C. From hour 0 to hour 5
D. From hour 2 to hour 6
Answers
Answer:
A. From hour 0 to hour 5
Step-by-step explanation:
For all Plato users
Interval of the temperature decreasing is from hour 0 to hour 5.
What is interval?
an interval is defined as a group of numbers which includes all numbers between the beginning and the end.
According to given data is showing that the temperature decreasing zero hour to 1 hour , then 1 to 2 hour, then 2 to 3 hour, then 3 to 4 hour, then 4 to 5 hour.
So the interval of the temperature decreasing is from hour 0 to hour 5.
Learn more about interval
https://brainly.com/question/13708942
#SPJ2
In the worst storm in Sunnyville history, 6 inches of rain fell in 8 hours. What was the amount of rainfall per
hour?
A: 1/2 of an inch
B: 3/4 of an inch
C: 1 1/2 inches
D : 2 inches
Answers
Answer:
B. 3/4
Step-by-step explanation:
6/8=0.75
Answer: B
Step-by-step explanation:
6 = 8
3 = 4
1.5 = 2
0.75 = 1
Hope this helps!
The total cost for 22 gallons of gas is $68.30. How many dollars per gallon of gas did you spend?
Answers
Answer:
$3.10 per gallon
Step-by-step explanation:
Take the total cost and divide by the number of gallons
68.30/22
3.1045454545
Round to the nearest cent
$3.10 per gallon
Answer:
$3.10 per gallon
Step-by-step explanation:
You just have to divide $68.30 by 22. (And round)
$68.30 divided by 22 = 3.10
So, you answer will be 3.10
= $3.10 per gallonHope this helps! And happy Halloween x-x
^w^
Determine if the sequence 2, 8, 17, 29, ... is arithmetic. If it is, determine the first term a and the common difference d.Is the sequence 2, 8, 17, 29, ... arithmetic?
Answers
Answer:
Yes
Step-by-step explanation:
Starting with 2, the step to the next number is 6. Each step increases by 3.
When you are on 8, the next step is an increase of 9. The next step is an increase of 12, The next step not shown would increase by 15 for give you 44.
So the first step would be 3 below the number 6 which would be subtracted from 2 to give you - 1 as your first starting point.
The common difference is 3(n) where n is an integer starting with 0 and incrementing by 1 with each new Y2 and Y1 is -1.
The equation Y2 = 3(n+1) + Y1 where n=0
Help plz I need it ASAP give poinys
Answers
Answer:
1 4/5
Step-by-step explanation:
Download photogmath
Answer:
1 7/8
Step-by-step explanation:
9÷4 4/5
=9÷24
=9/1×5/24
=
9×5
-----------
1×24
=45/2
15/8=1 7/8
350 - 15x = 200 - 10x
Sam’s Jet Ski rental charges $350 to rent a jetski plus $15 per hour. Brian’s Jet Ski rental charges $200 to rent a jetski plus $10 per hour
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
Water tank A has 350 gallons of water and is losing 10 gallons per minute. Water tank B has 200 gallons of water and is losing 15 gallons per minute
Tree A has a height of 350 centimeters and is growing at a rate of 15 cm per day. Tree B has a height of 200 centimeters and is growing at a rate of 10 centimeters per day
Answers
Answer
Steven has an account with $350 in it and he withdrawals $15 per day. Jessica has an account with $200 and withdrawals $10 per day.
The capacity of a dump truck is listed by the manufacturer as 10 yd3 . A construction site requires the removal of of dirt, and the contractor has four identical trucks. How many trips will each need to make
Answers
Question:
The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?
Answer:
7 trips
Step-by-step explanation:
Given
[tex]Capacity = 10yd^3[/tex]
[tex]Dirts = 200m^3[/tex]
[tex]Trucks = 4[/tex]
Required
Determine the number of trips of each truck
Divide the volume of dirts by 4 to get the portion of each truck
[tex]Each\ Truck = \frac{200m^3}{4}[/tex]
[tex]Each\ Truck = 50m^3[/tex]
Divide the portion of each truck by capacity of each truck to get the number of trip
[tex]Trip = \frac{50m^3}{10yd^3}[/tex]
Convert m^3 to yd^3
[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975}{10}[/tex]
[tex]Trip = 6.53975[/tex]
Approximate:
[tex]Trip = 7[/tex]
Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5
Answers
Answer:
last
Step-by-step explanation:
logan drew 4 hearts and 40 circles. What is the ratio of hearts to al shapes?
Answers
Answer:
1:11
Step-by-step explanation:
4(hearts):44(all) in simplest form is 1:11 because 4 and 44 are divisible by 4.
Answer:4:40
Step-by-step explanation:
Solve the inequality. 12x<-144
Answers
Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
Solve graphically, 2x^2+2x-4=0
Answers
Pls help me plssss. Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69,65, 87.
What is the mean height of Bella's corn stalks? ——————————
O A 69 cm
O B. 75 cm
O C. 78 cm
OD 80 cm
O E 81 cm
Answers
Answer:
the answer is C. 78
Step-by-step explanation:
First, you have to add together 81, 88, 69, 65, and 87; its total is 390. The next step is to see how many numbers there are. In total there are 5 numbers. Lastly, you have to divide 390 by 5 which is 78.
Diana goes on vacation with $260. Each day, she spends the same amount of
money. After 1, 2, 3, and 4 days on vacation, she has $242, $224, $206, and
$188, respectively.
Please help
Answers
Evaluate the expression m/2 + m
m=14.
Answers
Answer:
plug in m
14/2 + 14
7 + 14
21
Step-by-step explanation:
To find the quotient of 8 divided by one-third, multiply 8 by
One-eighth.
One-third.
3.
8.
Answers
Answer:
The answer is 3
Step-by-step explanation:
To find the quotient of 8 divided by 1/3 multiply 8 by
8/1 divided by 1/3
8 x 3
-------
1 x 1
=
24/1
=
24
The quotient of 8 divided by one-third is same as multiply 8 by 3.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The quotient of 8 divided by one-third.
Now, We get;
The quotient of 8 divided by one-third.
⇒ 8 ÷ 1/3
⇒ 8 × 3
Thus, It is clear from the above steps that dividing 8 by 1/3 is equivalent to multiplying 8 by 3.
Therefore, Multiplying 8 by 3 will give the same quotient.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ3
The farmer decided that he ordered enough planks for an arena that measured 115 1/4 ft by 63 1/2 ft. Is he correct? Explain.
What questions do you need to answer this question? Please help
Answers
Answer:
The question we need to answer is what is the perimeter of the arenaStep-by-step explanation:
The question we need to answer is what total length of plank did the farmer ordered for the arena.
to solve for the length of plank to cover the arena we need to solve for the perimeter of the arena.
given data
length L= 115 1/4 ft = 115.25ft
width W= 63 1/2 = 63.5ft
perimeter= 2L+2W
perimeter= 2(115.25)+2(63.5)
perimeter= 230.5+127
perimeter= 357.5ft
This means that the farmer ordered a total length of 357.5ft of plank
An electrican's shop charges $55
service fee plus $50 per hour for labor.
The linear equation that models
C= $50+ $55, where h is the number of labor hours and C is the total cost.
How much would the shop charge a customer for a job that takes 17hrs?
Answers
Answer:
$905
Step-by-step explanation:
$50×h+55=?
h=17 and you pay so $50×h
so $50×h=850
so now that you calculated the cost of the labor add the $55 dollar service fee
850+55=905
Which table of values will generate this graph?
On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0).
Answers
Answer:
i need help with this to
Step-by-step explanation:
the table of values will be values of x and y respectively.
x= -2,0,0,and 3
y= 0,1,-4 and 0.
what is 2(3x+4)=x-7
Answers
Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.
Answers
Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages.
Given:product of their ages=154Brad is 3 years older than FrancisLet:Age of Francis be xAge of Bard be x+3Answer:A/Q:Age of Bard× Age of Francis=154
x×(x+3)=154x²+3x=154Let's split 3x into +14x and -11x
x²+3x-154=0x²+14x-11x-154=0x(x+14)-11(x+14)=0(x-11)(x+14)=0x=11x=-14So we aren't taking ages in negetive
.°.x=11As we know in starting we have take x as Financis age
.°. Francis age=11✔We know Brad is 3 years older than Francis
.°. Brad age=x+3Brad age=14✔_____________________With regards!
✧Dull Star✧
A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
m/s?
Answers
Answer:
The ball's speed will be 10 m/s at t=1.22 seconds
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
[tex]v_f=v_o-g.t[/tex]
Where g is the acceleration of gravity [tex]g=9.8 m/s^2.[/tex]
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
[tex]\displaystyle t=\frac{v_o-v_f}{g}[/tex]
Substituting:
[tex]\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}[/tex]
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
What is the measurement of G?
Answers
Answer:
59 Degrees!!
Step-by-step explanation:
Answer:
59°
Step-by-step explanation:
180 - (57 + 64) =
180 - 121 = 59
9(k+12)+4k2 when k= 3 the 2 is small
Answers
Answer:
the answer is 4k^2+9k+108
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....
[tex]9(k+12) + 4k^{2}[/tex]
if k=3 we would replace all the k's with 3.
9(3+12) + 4(3)²
9(15) + 4(9)
135 + 36
171
So the answer would be 171
Hope that helps and have a great day!
Loren spent $42.25 to fill her car with 13 gallons of gas. How much did Loren pay per gallon?
Answers
Answer: 3.25
Step-by-step explanation: What I did was Multiply 42.25 by 100 ( To make it easier) and then divide it by 13. After that, I divided the quotient by 100 to get the real answer, which was 3.25
Let me know if I was helpful or not!
Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6
Answers
Answer:
D. -6
Step-by-step explanation:
SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct
hello I need help on it
Answers
i need some hidden amines that are new please
Answers
Answer:
i think i know someone but ion know
Step-by-step explanation:
The radius of a semicircle is 2 yards what is the semicircle’s perimeter