ALL LINES CAN BE REPRESENTED IN THE FORM [tex]f(x) = ax+b[/tex].
We know that:
[tex]f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5[/tex]
and
[tex]f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17[/tex]
Observe that:
[tex]3a+b = 2a+a+b = 2a+(a+b)[/tex]
So:
[tex]2a+(a+b) =-17[/tex]
But we know that [tex]a+b = -5[/tex], so:
[tex]2a+(a+b) =-17[/tex]
[tex]2a+(-5) = -17[/tex]
[tex]2a = -12[/tex]
[tex]a = -6[/tex]
Since:
[tex]a+b = -5[/tex]
[tex](-6)+b = -5[/tex]
[tex]b = 1[/tex]
So the line is:
[tex]f(x) = 1-6x[/tex]
Subtact: (3x + 4) - (x + 2)
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the cateree bring if there are 16 cups in one gallon?
Answer:
30 gallons (that’s a lot of tea!)
Step-by-step explanation:
Hi there!
we know that there are 60 minutes in an hour, 120 in 2 hours.
If 4 cups are poured every minute, we multiply 4 by the number of minutes in 2 hours, 120.
now we have 480 cups. However, they asked for gallons. They already give how many cups are in a gallon, 16, so all we have to do is divide 480 by 16 to find the amount of gallons needed.
480/16 = 30 gallons!
I hope this helped!
Answer:
30 gallon
Step-by-step explanation:
first you count up how many minutes is in 1 hour mutilply it by 2 if 4 cups were poured every minute and there's 16 cups per gallon you take 120 being 2 hours in minutes take 120 multiply it by 4 bc that's how man cups are poured per minute and that 480 cups 480 cups divided my 16 which is how many cups is in a gallon and you get 30
Please help! Worth 25 points :)
Answer:
b
Step-by-step explanation:
5(0)-3(-4)=12 that simply's to 0+12=12
its no subtraction sign cause cant have a double negative
Mr. Doyle washed
2
5
of his laundry. His son washed
1
4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
yes yes
Step-by-step explanation:
4.5 is 7.5% of what number?
Answer:
60
Step-by-step explanation:
The required number is 60.
What is percent?In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".
Now the given expression is,
4.5 is 7.5%
Let x be the number.
Therefore, 7.5% of x is 4.5
⇒ 7.5% of x = 4.5
⇒ 7.5% * x = 4.5
⇒ 7.5/100* x = 4.5
⇒0.075 x = 4.5
Dividing both side by 0.075 we get,
x = 4.5 / 0.075
Solving we get,
x = 60
this is the required number.
Thus,the required number is 60.
To learn more about Percentage visit :
brainly.com/question/24304697
#SPJ2
if you buy 5 donuts for $3 how much would it cost for 1 donut show answer as a decimal
Answer:
0.6
Step-by-step explanation:
3 divided by 5
=0.6
Answer:
0.6
Step-by-step explanation:
5 dounts = $3
? = $1
Divide 3 by 5
What is the Y-INTERCEPT of the line y = 3x - 5
Answer:
(0,-5)
Step-by-step explanation:
In y = mx+b, b is the y-value of the y-intercept.
Here, b = -5.
Note: the y-intercept is a POINT, not a value.
Step-by-step explanation:
Hey there!
Given equation is; y= 3x-5.
Comparing the equation with y= mx+b, where "b" is y-intercept. we get;
y-intercept= -5
Therefore, y-intercept of the equation is"-5".
Hope it helps...
10. The cost price of an article is $40 and it was sold to make a profit of $20. What is the
selling price of the article?
a) S40.20
b) $48.00
c) $50.00
d) $60.00
Answer:
D
Step-by-step explanation:
40 + 20 = 60 lol
Simplify: 255–√−296–√+145–√−66–√
Help me please!!
I’ll brainliest u if u get it rights
Show steps , if not don’t answer AT ALL
Answer:
y = 12+3x/6
Step-by-step explanation:
Make sure y is on one side and no terms are with it.
6y = 12+3x
y = 12+3x/6
ve, Carpet sells for $36 per square yard. How much will 8 square yards cost?
Answer:
$288
Step-by-step explanation:
If each square yard of carpet is $36, you just have to multiply 8 by that to get the total.
Because each square yard = $36 all you do is add $36, 8 times. But the easiest way to do it would be to simply times 36 by 8:
36 x 8 =288
So your answer is,
$288.00
Hope this helps! Good luck.
HELP ASAP I will mark brainliest PLEASE No ones helping me
Answer:
D. 12000
Step-by-step explanation:
y=14500(1-0.035)^5
y=14500(0.965)^5
Two linear functions are represented in different formats
Function 1
X
y
0
-2
2
0
3
1
5
3
Function 2
1
-6-5-4-32-1
1
2
7 8
-3
Which statements are true?
Select each correct answer.
O Function 1 has a greater rate of change than function 2
Function 2 has a greater rate of change than function 1
O Function 1 has a greater y-intercept than function 2
Function 2 has a greater y-intercept than function 1
if someone does the rest of this homework for me i will give them a cookie and a kiss and i will do branlyiest and give u alot of points
Answer:
all you have to do id divide each side by the lowest number thats the why where im from taght me
Step-by-step explanation:
Answer:
divide each side by the lowest number and that should give you the answer u want and me the relationship i need lol
Step-by-step explanation:
Please help I’m supposed to identify the area of symmetry of the function graph
Answer:
x=-1
Step-by-step explanation:
On the lowest point of the function, the point is on -1 on the x-axis. That point on the graph splits the graph in half.
Answer:
x= -1
Step-by-step explanation:
what is the value of?
Answer:
70 degrees
Step-by-step explanation:
Since the angles of a triangle have to add up to 180 degrees, you know that the third angle of the triangle on the left would be 180 - 60 - 65 = 55 degrees. Then, since the angles on a straight line have to add up to 180 degrees you could find one of the two missing angles of the second triangle by doing
180 - 55 - 50 = 75.
Then, you have 2 out of the 3 angles of the triangle on the right and you can find the third, the ?, by doing 180 - 75 - 35 = 70 degrees
If you buy 2 pens you get a 50% discount on the second pen. If I pen cost 2.30 how much will 2 pens cost you. (NEED equation and work!!)
Answer:
Two pens will cost you $3.35
Step-by-step explanation:
2.30*.5=1.15
2.30+1.15=3.35
I need help on this work sheet its very hard
Answer:
There is no attachment
Step-by-step explanation:
write the equation in slope intercept form then graph
slope:2
y-intercept: 4
Solve this and I will give 25 Points!
Answer:
15x^2-14x-4
Step-by-step explanation:
(8x^2 * x-7x+2)+(7x^2 -7x-6)
you take out the parentheses
you add the common ones so -7x+-7x= -14x
8x^2 +7x^2 = 15x^2
and 2-6= -4
so in total it's 15x^2-14x-4
Answer: 11x^2 -16x-3
Step-by-step explanation:
Solution:
Your problem → (8x^2-7x+2) + (3x^2-9x-5)
(8x2-7x+2)+(3x2-9x-5)
=8x2-7x+2+3x2-9x-5
=8x2+3x2-7x-9x+2-5
=11x2-16x-3
What is the best estimate of the Area of the figure on the grid if each square has the area of 4 in.²?
108
128
144
152
Edge 2021 question on test
Answer:
my guess is 128 when doing the math its the closest to the actual answer
Andre's school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
1. Since t is in terms of b from the first equation, this expression can be substituted into the second equation where t appears. Write and equation that shows this substitution.
2.solve the equation for b
3.How much did the school pay for a set of beakers? For a pack of text tubes?
10
O A. 5
(3,7)
5
B. -5
-
C. 2
5
10
-5
(-2,-3)
16
D. -2
. 10
Answer:
c
Step-by-step explanation:
Which of the following expressions is equivalent to the expression 19× 27 ?
A. 3−2× 3−3
B. 3−2× 33
C. 32× 3−3
D. 32× 33
PLEASE HELP ME !!!!!!!!!!!!!!!!!!!!!
Answer:
the required answer is 64
Step-by-step explanation:
b/4 =16
b = 16 × 4
= 64
Answer:
B /4 =16
Step-by-step explanation:
multiply by 4 and the answer is 64
Find x
This is a kite from geometry
Answer:
x=6
Step-by-step explanation:
Solve for x.
5x-15 = 2x+3
(Move the 2x to the other side of the equation.)
3x-15= 3
(Move the 15 to the right side of the equation.)
3x=18
(Divide both sides by 3 to isolate the variable.)
x=6
I hope this helps!
124 = 10n + 4
I NEED THE WORK FOR THIS PEASE HURRY WILL MARK AS BRAINLEST I NEED THE WORK FOR IT
help!!!!!!!!!!!!! Please
Kate and Rachel went out to lunch. Their bill came to $34.50 before the 6% sales tax. How much was their total bill with the tax?
Answer:
36.57.........................