Answer:
The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2
Step-by-step explanation:
✔️Find the equation of Function A:
To do this, find the y-intercept (b) and slope (m):
Slope (m) = change in y/change in x
Using (4, 13) and (5, 17),
Slope (m) = (17 - 13)/(5 - 4) = 4/1
m = 4
To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b
13 = 4(4) + b
13 = 16 + b
13 - 16 = b
b = -3
To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b
Thus:
y = 4x - 3
Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3
Thus:
y = 4(2) - 3
y = 8 - 3
y = 5
✅The y-value of Function A when x = 2 is 5
✔️Equation for Function B is given as,
y = ½x + 1
Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1
Thus:
y = ½(2) + 1
y = 1 + 1
y = 2
✅The y-value of Function B when x = 2 is 2
Therefore, the correct statement is:
The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
[tex]L= 3W_1[/tex] ---- initial dimension
[tex]W_2 = 6m[/tex] --- new width
[tex]A_2 = 45m^2[/tex] --- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
[tex]Area =Length * Width[/tex]
[tex]A_2=L * W_2[/tex]
Make L the subject
[tex]L = \frac{A_2}{ W_2}[/tex]
Substitute values for A and W
[tex]L = \frac{45m^2}{6m}[/tex]
[tex]L = \frac{45m}{6}[/tex]
[tex]L = 7.5m[/tex] --- this is the length of the garden
Calculate the initial width:
[tex]L= 3W_1[/tex]
Make W1 the subject
[tex]W_1 = \frac{1}{3} * L[/tex]
[tex]W_1 = \frac{1}{3} * 7.5[/tex]
[tex]W_1 = 2.5[/tex]
So, the initial area is:
[tex]A_1 = L_1 * W_1[/tex]
[tex]A_1 = 2.5 * 7.5[/tex]
[tex]A_1 = 18.75[/tex]
The percentage change in area is:
[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]
[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]
[tex]\%A = \frac{26.25}{18.75}[/tex]
[tex]\%A = 1.4[/tex]
Express as percentage
[tex]\%A = 1.4*100\%[/tex]
[tex]\%A = 140\%[/tex]
What are the real roots of the function in the graph?
Answer:
-1 and 3
Step-by-step explanation:
The real roots of a function are located where the function passes through the x-axis. In this case, the function passes through x=-1 and x=3, making them the real roots of the function.
If h(2) = 5 – 722, what is h(-1)?
Answer:
Step-by-step explanation:
Can someone help me with this, Thx!
Answer:
x = 45
Step-by-step explanation:
x = 20 + 25
as x is vertically opposite to GED
and vertically opposite angles are equal
you save 2/5 of your allowance every week. if you receive $40 per week
how much money will you have after 8 weeks
Answer:
$128
Step-by-step explanation:
2/5 × $40= $16
$16×8= $128
What is the approximate area is the shaded sector in the circle shown below?
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x + 6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Work out the size of angle X ?
Answer:
x = 121°
Step-by-step explanation:
∠ 1 + 115° = 180°
∠ 1 = 180 - 115
∠ 1 = 65°
∠ 2 + 304° = 360°
∠2 = 360 - 304
∠ 2 = 56°
∠ 1 + ∠ 2 + ∠ 3 = 180°
65° + 56 ° + ∠ 3 = 180°
∠3 = 180 - 65 - 56
∠ 3 = 59°
∠3 + x = 180°
59° + x = 180°
x = 180 - 59
x = 121 °
Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?
Answer:
Time when both earnings are equal = 5:00 Pm
Step-by-step explanation:
Given:
Total earning of Deanne = 6.50x
Total earning of Stephanie = 9.10(x -2)
Work started at 10:00 am
Find:
Time when both earnings are equal
Computation:
Total earning of Deanne = Total earning of Stephanie
6.50x = 9.10(x - 2)
6.5x = 9.1(x-2)
6.5x = 9.1x - 18.2
9.1x - 6.5x = 18.2
2.6x = 18.2
x = 18.2 / 2.6
x = 7 hour
So,
Time when both earnings are equal = Work started at 10:00 am + 7 hour
Time when both earnings are equal = 5:00 Pm
which value from the set{2,14,16,63}makes the equation n-7=9 true
Answer:
16.
Step-by-step explanation:
n - 7 = 9
Add 7 to both sides
n = 9 + 7 = 16.
Answer:
16
Step-by-step explanation:
Given
n - 7 = 9 ( add 7 to both sides )
n = 16
Chris is playing a card game with his friends. The game uses only the four aces from a standard deck of cards. For each move, a player draws one card, replaces it, and then draws the second card.
Answer:
1/4
Step-by-step explanation:
Let's call the aces for hearts, diamonds, clubs, and spades. So, are red and [tex] c, s[/tex] is black.
Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple
There are 16 such couples (we have four choices for the first card, and the same four choices for the second card). Now let's compute the odds in our favor to deduce the probability of winning:
If we want a player to draw two cards of the same color, the following couples are good:
so 8 possible couples over 16. This means that a player's probability of drawing two cards of the same color is 8/16 = 1/2.
Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:
which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.
25+ POINTS WILL MARK BRAINLIEST
Answer:
Point A = (-6,0)
Point B = (0,4)
Answer:
Your Answer is this
Step-by-step explanation:
square in inches, x, and the perimeter of the square in inches, y. What is the constant of proportionality?
Answer:
y/x
Explanation:
The constant of proportionality defines two directly proportional quantities that decrease or increase proportionally/same rate.
Given constant of proportionality= k
Side of the square= x
Perimeter of the square= y
constant of proportionality=k=y/x
For example if perimeter of square is 8 and side of square is 2, constant of proportionality is 8/2=4
58:36
If Zöe orders a book from Store Y, how much tax will she pay?
Comparison of Online Bookstores
Store X
Store Y
Cost of book
$17.00
$18.00
Tax rate
6%
8%
Shipping
10% of cost before tax
FREE
$1.44
$2.25
O $12.25
O $14.40
Answer:
$1.44
Step-by-step explanation:
Tax is a compulsory sum levied by the government. it increases the price of the good
tax paid = tax rate x price of the book
18 x 8%
18 x 0.08 = $1.44
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually
Complete Question
David bought a chain of fast food restaurants that operated 200 stores in 2009. The number of restaurants has grown at a rate of 12% annually.how many stores does the restaurant operate in 2020?
Answer:
[tex]N_{11} \approx 749[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Fast Food Restaurants [tex]P=200[/tex]
Number of years [tex]t=11yrs[/tex]
Rate [tex]r=12%[/tex]
Generally the equation for the Number of restaurant in operation in 2020 is mathematically given by
[tex]N(t)=Pe^{rt}[/tex]
Therefore
For t=11
[tex]N_{11}=200*e^{0.12*11}[/tex]
[tex]N_{11}=748.7[/tex]
[tex]N_{11} \approx 749[/tex]
Math help please help thanks
Answer:
62
Step-by-step explanation:
Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.
The two lines (the one you drew and the left vertical line) meet at right angles.
The upper figure is a rectangle.
Area = L * W
L = 5
W = 4
Area = 5 * 4
Area = 20
Now the bottom rectangle can be found the same way.
Area = L * W
L = 14
W = 3
Area = 14 * 3
Area = 42
The total area = 42 + 20
Total area = 62.
The comment was correct.
In the triangle above a = 12 and c = 26. Find the value of b to the nearest hundredth.
2w - 5 = 8
W =
Plllssssss helppoo
Answer:
w = 13/2 or 6.5
Step-by-step explanation:
2w - 5 = 8
Add 5 to each side
2w - 5+5 = 8+5
2w = 13
Divide by 2
2w/2 = 13/2
w = 13/2 or 6.5
Answer:
13/2
Step-by-step explanation:
the steps are in the screenshot attached.
⚠️6TH GRADE MATH⚠️
Six percent of the sale price of a home
goes to the real estate agents as their
commission. The buyer's agent and
the seller's agent split the commission
evenly. How much commission does
each agent get when they complete
the sale of a $340,000 house?
Answer:
10200
Step-by-step explanation:
0.06*340,000=20400
20400÷2=10200
1. A quadratic equation can have all of the following number of solutions except
d,
b.
Zero
One
Infinite
Two
c.
a
Need help !!!!!!!!!!!!!!!!! This is a shape that is required to be broken up into multiple parts to find the total volume.
What is the total volume of this shape?
help me plzzzzzzzzzzz
Answer:
Top row, third one from left to right
Step-by-step explanation:
Use test points:
when x = 0 , y = 2(0) - 4 = 0 - 4 = -4
(0, -4)
when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x
(2, 0)
Top row, third one from left to right
Help me with area, please.
Answer:
Num. 2: A = 25, Num. 3 = 63, Num. 4 = 80
Step-by-step explanation:
I'll help with as many as I can, so a few of them I won't be able too answer. You should re-post those later. Good luck, hope this helps.
For number 2:
First, turn the triangle into a rectangle by cutting it in half and attaching it to the other half so it forms a rectangle.
Since you cut the triangle in half, you also have to split 5 in half, so the bottom length is now 2.5.
Now, simply multiply 2.5 by 10, and you have the area for number 2.
The area for number 2 is 25.
For number 3:
This one is much easier. Just think of the shape as a normal square that has been tipped to the side. That means that you would solve for area the same way: 9 x 7, which means that the area for number 3 is 63.
For number 4:
This one is also easy. Simply cut, and paste. Now the right side is 10, and the top side is 8. Multiply, and the area will be 80 m.
Please re-post 1 and 5, as I am not able to solve them. Sorry this answer took so long!
Marian asked 25 students the following questions in a survey.
1. Are you male or female?
2. Do you wear glasses?
Marian's results are shown below.
There were a total of 15 female students who were surveyed.
• There were 17 students who wear glasses.
Answer:
Step-by-step explanation:
8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.
Answer:
-$12
Step-by-step explanation:
Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.
63+75+9+41+85-285= -$12
if def geh solve for x
Answer:
huh???
Step-by-step explanation:
Aseem and Stana are building model cars. stanas car is 5 less than 2 times the length of Aseem's car. The sum of the lengths of both cars is 20. write an equation to determine the lengths of Aseem's and Stana's cars
Answer:
Aseem’s : 8.3, Stana’s : 11.6
Step-by-step explanation:
Aseem: x
Stana: 2x-5
X+2x-5=20
3x=25
X = 8.3
pls help me on this i don't know what to do
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
does anyone know the answer?
Answer:
x = 145
Step-by-step explanation:
The angles are same side exterior angle and same side exterior angles are supplementary
x +35 =180
Subtract 35 from each side
x = 180-35
x =145
Answer:
x=145
Step-by-step explanation:
180 -35 = 145
angle in a straight line add up to 180
x=145
F angle /corresponding angle are the same
Can someone please help me
Answer:
Her monthly rate per month is $12
Step-by-step explanation:
On the 0 month is what she already had in her bank account.
Also the months are going by 2's so it's going by $24 dollars every 2 months, so 24 divided by 2 is 12.