Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
Khan Academy
16. 8x5 – 16x4 + 8x3
Answer:
it is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Once you simplify the equation, you get 40-64+24. When you use 40+24, you get 64 which cancles out the other 64
PLEASE HELP!!!! MATCH THE ANSWERS!! WILL GIVE BRAIN PLEASE!!!!
Answer:
Range - a is y<k
Range + a is y>k
Doman always all real numbers
Step-by-step explanation:
Answer:
domain- always all real numbers
and im not too certain about the last 2 but im pretty sure that
range-a is less than or equal to whereas range+a is more than or equal to.
I've been struggling on this problem for a while I would realize like some help
Answer:
situation 1 is (80%)
situation 2 is (95%)
situation 3 is (33 1/3%)
situation 4 is (15%)
In Coachella, California the temperature was 9 degrees below zero at 2 am. By 5 am the temperature had dropped by an additional 7 degrees. By 1 pm the next day the temperature had risen by 12 degrees. What was the temperature at 5 am
Answer:
The temperature at 5 am is 16 degrees below zero.
Step-by-step explanation:
The temperature at 2 am is 9 degrees below zero:
[tex]T_{2_{am}} = -9 [/tex]
Since at 5 am the temperature had dropped by an additional 7 degrees, we have:
[tex]T_{5_{am}} = T_{2_{am}} - 7 [/tex]
[tex]T_{5_{am}} = -9 - 7 = -16 [/tex]
Therefore, the temperature at 5 am is 16 degrees below zero.
I hope it helps you!
A lawn mower is advertised for 20% off the list price of $430.00. What is the sale price?
A
$516.00
B
$354.00
C
$344.00
D
$86.00
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?
Answer:
1. $13.7
2. $6.3
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25
1. How much money did Bruce spend in all?
$7.50 + $3.95 + $2.25
=$13.7
2. How much change did he get back?
= $20 - $13.7
= $6.3
Determine square of -p+6
Answer:
-12p+p^2+36
Step by step explanation:
(-p+6)^2 is the square of -p+6
we use the formula
(a+b)^2=2ab+a^2+b^2
(-p+6)^2=-12p+p^2+36
the minus of p disappears
I think you meant to say the SQUARE ROOT.
sqrt{-p + 6}
If you meant to SQUARE THE BIMOMIAL, then the set up is:
(-p + 6)^2
(-p + 6)(-p + 6)
p^2 -12p + 36
Christmas Special Before I ask you to Answer my Question
On the first day of Christmas my true love Ran From Me (My IQ)
Because of My Homework that I Still Need to Complete
On the second day of Christmas my true love Ditched me
Now I Have many Assignments to Complete
On the third day of Christmas my true love Forever Left me
Now I only Have C's and No Tv and a Slipper coming after me
On the fourth day of Christmas my true love that I havent Seen
Because of that I Have, No Brain Cells
Forgot How to Spell and All The Easy Assignments that I Have
That I can you to Make a boat overseas!
_____________________________________________________________
Now Im Gonna Ask you Can you please help me with these two Questions
Answer All , Correctly, Explained, Quickly and Have a Merry Christmas!
Answer:
6. 4
7. 0
Step-by-step explanation:
6. Slope of line that passes through (-1, -4) and (1, 4):
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-4))}{1 - (-1)} = \frac{8}{2} = 4 [/tex]
7. Slope of line that passes through (1, 2) and (-3, 2):
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 2)}{-3 - 1} = \frac{0}{-4} = 0 [/tex]
* EASY * how many like terms are in the expression?
14x - 14y +7 - x + z +2x
A. 0
B. 2
C. 3
D. 5
Answer:
It’s either 2 or 3 but I’m say 2.
Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?
Please help I will mark as brilliant answer.
Answer:
Step-by-step explanation:
if he has 500 and wants to have 200 left subtract 500-200=300
then if he spends 24 each week divide 300/24=12.5
the maximum number is 12 because cant have a remainder
at the end of the summer he would have 212 left.. 12x24=288..500-288=212
Answer:
12 weeks .
Step-by-step explanation:
24 x 12 = 288 . 24 x 13 = 312 .
500 - 288 = 212 . 500 - 312 =188 .
its 12 because if you do 13 its to below the price so you'll have some change left .
You are going on a trip. To get to the beach, you have to drive 475 miles. If you can average 50 miles per hour on your drive, which equation shows how much farther you have to drive over time?
Answer:
C= -50x+475
Step-by-step explanation:
Step one:
given data
distance travelled = 475miles
velocity = 50miles per hour
let the distance you cover per hour be x
hence per hour, your distance decreases by 50x hours
Required:
The expression for the distance remaining
Step two:
let the distance remaining be C
hence the expression
C= -50x+475
Answer:
The answer is in the picture.
help please. marked brainliest 15 points!!!!!
Answer:
SAS or side-angle-side because there are two congruent sides with a congruent angle between them
Step-by-step explanation:
-1/5÷2/0 plzz i need this
[tex]-\frac{1}{5}[/tex] ÷ 20 = - 100
or -0.01
there are two answers you can come up with choose wisely
Hello just need help with the last question!
Will mark brainliest :)
PART B Does the order in which you add -6 and 6 matter? Explain your
reasoning.
Nyour
answer
Answer: It does not matter.
Step-by-step explanation:
-6 + 6 = 0
6 + (-6) = 0
This means that the order doesn't matter.
hope this helps!
Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using her employee discount, what is the regular price if one rose purchased from the florist?
Answer: $1.4
Step-by-step explanation:
Given that:
Discounted price roses = $1
Amount saved = $4
Regular price - discounted price = amount saved
x - 10(1) = 4
x - 10 = 4
x = 4 + 10
x = $14
Regular price of 10 roses = $14
Regular price per rose = $14 / 10 = $1.4
15 3/8 + 7 5/6 =
Helppp what’s the. Answer
Answer:
Exact Form:
557/24
Decimal Form:
23.208¯3
Mixed Number Form:
23 5/24
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
Help me please!!!!!!
Answer:
c
Step-by-step explanation:
Since the perimeters are equal, then equate the perimeter expressions, that is
4(x - 2) = 6([tex]\frac{1}{2}[/tex] x + 5) ← distribute parenthesis on both sides
4x - 8 = 3x + 30 ( subtract 3x from both sides )
x - 8 = 30 ( add 8 to both sides )
x = 38
Substitute x = 38 into either of the 2 perimeter expressions
perimeter = 4(x - 2) = 4(38 - 2) = 4 × 36 = 144 in → c
Multiply
7z3 (2z2 – 4z).
A. 14z5 – 28z4
B. 9z5 – 11z4
C. 14z6 – 28z4
D. –14z
Answer:
solve it
Step-by-step explanation:
Helpppp plzzzzzzzzz plzzzzzzzzz
-4,-9/4, 1/2,s.r. 5, 3.7
Heres a graph of a linear function. Write the equation that describes that function.
Answer:
Y=[tex]\frac{1}{3}[/tex]X-4
Step-by-step explanation:
Using the slope-intercept equation, a line is given as y=mx+b, where m represents the slope and b represents the y-intercept. From this graph, we can see that the slope is 1/3 and this line meets the y-axis at -4.
Thus, using that information, we substitute this into the equation to get
y= (1/3)x - 4
-Which plan charges a higher monthly rate? Justify your answer.
-The plan that charges the higher monthly rate charges__as much as the other plan.
a. 1.2
b. 0.78
c. 1.28
d. 0.83
-What is the one-time fee of fitness plan B?
Answer:
D
Step-by-step explanation:
tan22° + tan23° tan22°. tan23° = 1 prove that
Answer:
Formula:(from trigonometry)
Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)
Let A=22 degrees,B=23 degrees
Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)
From trigonometry we know tan45=1
Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)
=> 1-tan22tan23=tan22+tan23
=> tan22+tan23+tan23tan22 =1
Hence proved
the area of this figure is?
Answer:
i think its 81
Step-by-step explanation:
Answer:
106 sq meters
Step-by-step explanation:
Break the figure down. I have attached an image as you can see see below.
The figure consists of three rectangles
So Area of rectangle 1 is = 4 x 7 = 28 sq meters
So Area of rectangle 2 is = 10 x 5 = 50 sq meters
So Area of rectangle 3 is = Area of rectangle 1 = 28 sq meters as they are the same rectangles
So area of the whole figure is = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of whole figure is = 28 + 50 + 28
Area of whole figure is = 106 sq meters.
A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?
****************DISCLAIMER****************
might not be right, im pretty sure tho
Answer:
the annual interest return rate is .025 i believe.
Step-by-step explanation:
after 6 months the money increased by 5.75 bucks.
the 6 month return rate was .0175, so double that to get the annual rate.
What does ⊥ mean in math ?
plz don't copy from g00gle
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
The symbol ⊥ is representative of the perpendicularity of lines.
Step-by-step explanation:
For lines to be perpendicular, they must intersect and form a right angle (90 degrees).
For example, in the image shown:
[tex]AB[/tex] ⊥ [tex]XY[/tex]
This is because the two lines intersect and form a right angle.
What is the equation of the given linear function?
Answer:
f(x) = 9x+8
Step-by-step explanation:
A plumber charges his customers $25.70 per hour, h, plus a $54.50
service fee. On Tuesday, he earns $118.75 for fixing Mrs. Goodwill's
sink.
Mrs. Goodwill also hires an electrician to repair several damaged
outlets in her home. The electrician charges $35.22 for each individual
outlet repair, r, plus a $62 service fee.
If the electrician charges Mrs. Goodwill a total of $167.66, which
equation shows how to determine the number of individual outlet
repairs correctly?
A. 35.22-62r = 167.66
B. 35.22r -62 = 167.66
C. 35.22 +62r = 167.66
D. 35.22r + 62 = 167.66
Answer:
D
Step-by-step explanation:
multiplying 35.22 with r since this amount is charged for every repair and then adding 62 since that is the additional fee