Answer:
The values of a and b are:
a = 2b = 2Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = ax+b
where
a is the slopeb is the y-interceptFrom the diagram of the line graph, we can fetch the two points
(0, 2)(-1, 0)Determining the slope between (0, 2) and (-1, 0)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(-1,\:0\right)[/tex]
[tex]a=\frac{0-2}{-1-0}[/tex]
[tex]a=2[/tex]
Thus, the value of a = 2
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept b = 2
now substituting a = 2 and b = 2 in the slope-intercept form of the line equation
y = ax+b
y = 2x + 2 ∵ a = 2 , b = 2
Thus, the line of equation is:
y = 2x+2
now comparing with y = ax+b
Here:
a = 2
b = 2
Therefore, the values of a and b are:
a = 2b = 2which expression has 3 terms
Answer:
D
Step-by-step explanation:
Find the zero of the function /(x) = 5x-3.
Answer:
3/5
Step-by-step explanation:
Set it equal to 0
5x-3=0
Then solve for x
5x=3
x=3/5
Check
5(3/5) - 3
3-3
0
what is preferred stock
Answer:
A form of stock which may have any combination of features not possessed by common stock including properties of both an equity and a debt instrument, and is generally considered a hybrid instrument.
Step-by-step explanation:
12 + m < -6 how many solutions
Answer:
m<−18
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
m+12<−6
Step 2: Subtract 12 from both sides.
m+12−12<−6−12
m<−18
I'm just struggling a lot with missing angles any help would be great
A football team moved -8 yards on one play, then lost another 4 yards on the next play. How many total yards did the football team move on those two plays?
Answer:
12 yards
Step-by-step explanation:
you subtract negative 8 and 4 and it gives you twelve yards of the play
Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of Jello
Answer:
4/7
Step-by-step explanation:
Answer:
4/7 ounces of butter makes a pound of jello
Step-by-step explanation:
7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.
An exponential function f(x)
= ab" passes through the points (0, 12000) and (2, 3000). What are the values of a and b ?
Given:
An exponential function [tex]f(x)=ab^x[/tex] passes through the points (0, 12000) and (2, 3000).
To find:
The values of a and b.
Solution:
We have,
[tex]f(x)=ab^x[/tex] ...(i)
It passes through the point (0,12000). Putting x=0 and f(x)=12000 in (i), we get
[tex]12000=ab^0[/tex]
[tex]12000=a(1)[/tex]
[tex]12000=a[/tex]
Given function passes through the point (2,3000). Putting x=2, a=12000 and f(x)=3000 in (i), we get
[tex]3000=12000b^2[/tex]
[tex]\dfrac{3000}{12000}=b^2[/tex]
[tex]\dfrac{1}{4}=b^2[/tex]
Taking square root on both sides.
[tex]\pm \dfrac{1}{2}=b[/tex]
For an exponential function b cannot be negative. So, [tex]b=\dfrac{1}{2}[/tex].
Therefore, the value of a is 12000 and the value of b is [tex]\dfrac{1}{2}[/tex].
What should be the height of the water after 13 marbles are dropped in?
Answer:
about 13 marbles
Step-by-step explanation:
Nina is selling three types of energy bars at a market stall. She bought 50 Enerbars at 30p per bar and 150 Grainbars at 50p per bar from her normal supplier. She was also given 50 Amazebars as a promotion from a new supplier. Nina sells the bars for £2.20 and manages to sell all the Enerbars and Grainbars but only some Amazebars. She makes a profit of £402.80. How many Amazebars did she sell?
Answer:
24
Step-by-step explanation:
Given that:
Cost of each Enerbar = 30p
Number of Enerbars = 50
Cost of each grain bar = 50p
Number of grain bars = 150
Number of Amazebars = 50
Cost of each Amazebar = 0p (Because it was given as promotion)
Sales price of each bar = £2.20
Total profit earned = £402.80
All other bars were sold but Amazebars.
To find:
How many Amazebars were sold?
Solution:
First of all, let us have a look at the profit earned by selling each type of bar.
Profit is nothing but the difference between sales price and cost price.
Profit at selling each Enerbar = £2.20 - 30p = £1.90
Profit at selling 50 Enerbars = £1.90 [tex]\times[/tex] 50 = £95
Profit at selling each grain bar = £2.20 - 50p = £1.70
Profit at selling 50 grain bars = £1.70 [tex]\times[/tex] 150 = £255
Profit by selling Enerbars and grain bars = £95 + £255 = £350
Profit by Amazebars = £402.80 - £350 = £52.8
Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar
[tex]\Rightarrow \dfrac{\£52.80}{\£2.2}\\\Rightarrow \bold{24}[/tex]
Solve And Graph 12 + 6 _> 42
Answer:
Steps
12+6>42
simplify
18>42
There for the solution us FALSE
Select all that are equal to 5^3• 5^-7
Answer: its b and c
Step-by-step explanation:
6r +9r - 2r - 13n combine like terms.
Answer:
13r-13n
Step-by-step explanation:
just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms
Answer:
13r-13n
Step-by-step explanation:
6r+9r = 15r
15r-2r = 13r
13r-13n
Which of the following values are solutions to the
inequality –8 + 2x > 5
Answer:
6
Step-by-step explanation:
i guess
PLS AWNSER IS LOTS OF POINTS
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno
B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4
C. How many days does it take John to spend all his money?
D. How many days does it take Collin to spend all his money?
E. Find the solution to the above system (answer is on ordered pair):
F. At what day does John and Collin have the same amount of money? Day
G. On the day they they have the same amount of money, how much do they each have? _____ dollars
The ratio of the perimeter of the rectangle ABCD to the perimeter of rectangle EFGH is 4:7. The value of x is
Answer:
x = ~8.76
Step-by-step explanation:
Since we know that the scale factor is 4:7, we can figure that 5 will be 4/7 the size of x.
4/7 = 0.571
5 / 0.571 = ~8.76
Pls help asp here are some points
Answer:
(the last one)
Step-by-step explanation:
Hi there!
This looks like a diagnostic. I had to take one last week and it was horrible!
Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)
The denominator is the product of negative 8 and x, which can be written as -8x.
I hope this helped!
Expand and simplify:
4(2x + 1) + 2(2x - 1)
Answer:
12x + 2
Step-by-step explanation:
4 ( 2x + 1 ) ⇔ 8x + 4
2 ( 2x - 1 ) ⇔ 4x - 2
8x + 4 + 4x - 2 = 12x + 2
Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?
Answer:
A loss of 22 yards
Step-by-step explanation:
(-2)+(-20)=-22
what is the slope intercept form of the line ?
Answer:
D
Step-by-step explanation:
Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.
Answer:x+2=y
Step-by-step explanation:
Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?
how i solve this one
Answer:
Look at explanation
Step-by-step explanation:
3x - y = 14
-3 -3
x=11
-------------------------------------------------
5x + 4y = 12
9xy=12
-9 -9
xy=3
x=1.5 y=1.5
--------------------------------------------------------
total= 14
Sorry if wrong btw
PLz help an show work for brainlist
Step-by-step explanation:
Its option D
As, for red $12 is charged
So 35 x $12 = 420
And white is $10
So, 20 x 10 = $200
= $420 + $200 = $620
Hope this helps
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
please help me with this thankyou
Answer:
Area of the Rectangle is (length×breadth)
[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]
Third option is the right answer.
Plz I beg u help metttttttttttt
Answer:
2. 260
3. 16
4. 71
5. 47
6. 137
8. 23
Step-by-step explanation:
PLEASE HELP TIMED TEST!!!
Which interval below correctly describes the domain of the graph f ( x ) ? a.) (-∞,3} b.) [-3,5] c.) [-5,3] d.) (-∞,∞)
Answer:A
Step-by-step explanation:
If they both go down from 3 then it is 3 and then -infinity.
(this is my best answer without a picture, hope you get it right!)
Emma made a scale model of the Sam Houston's monument. The monument's actual height is 67 ft tall. Emma is using a scale where 1 inch is 10 ft. What is the height of Emma's model?
Answer: 6.7inch
Step-by-step explanation:
From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.
The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:
= 67/10
= 6.7inch
x = [?]
5x - 5
2x + 10
Answer:
I thinks it’s 7x + 5
Step-by-step explanation: