Answer:
x = 2Step-by-step explanation:
These are equations of lines with different slopes, so there is only one point of their intersect.
The point of intersect is where f(x) = g(x).
2(x - 1) - 5 = - 2x + 1
+2x +2x
2x - 2 - 5 + 2x = 1
+7 +7
4x = 8
÷4 ÷4
x = 2
Answer: x = 2
Explanation:
From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!
Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.
A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?
Answer:
The gas pump filling the gallons in 1 minute will be: 15
Step-by-step explanation:
Given that a gas pump fills 2^-2 gallon of gasoline per second.As there are 60 seconds in 1 minute.
Thus,
Gas pump filling the gallons in 1 minute will be:
[tex]60\:\times 2^{-2}[/tex]
[tex]=60\times \frac{1}{2^2}[/tex] ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=\frac{1\times \:60}{2^2}[/tex]
[tex]=\frac{60}{2^2}[/tex]
[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]
[tex]=3\times \:5[/tex]
[tex]=15[/tex] gallons in one minute
Therefore, the gas pump filling the gallons in 1 minute will be: 15
:)))))))))))))))))))))
Answer:
Please check the explanation.
Step-by-step explanation:
1)
From the graph, taking the two points
(3, -5)
(-3, 5)
The slope between (3, -5) and (-3, 5) will be:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{5-\left(-5\right)}{-3-3}[/tex]
[tex]m=-\frac{5}{3}[/tex]
Therefore, the slope is:
[tex]m=-\frac{5}{3}[/tex]
2)
1ST METHOD
We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y
As the graph crosses the y-axis at x=0From the graph, it is clear that:
at x=0, y=0
Thus, the y-intercept is: (0, 0)
2ND METHOD
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where 'm' is the slope and 'b' is the y-intercept
substituting the point (3, -5) and m=-5/3 in the slope-intercept form
[tex]y=mx+b[/tex]
[tex]-5=\frac{-5}{3}\left(3\right)+b[/tex]
[tex]\frac{-5}{3}\left(3\right)+b=-5[/tex]
[tex]-5+b=-5[/tex]
[tex]b=0[/tex]
Thus, the y-intercept is: (0, 0)
3)
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
substituting m=-5/3 and b=0 to determine the equation line in the slope-intercept form
[tex]y=\frac{-5}{3}x+0[/tex]
Therefore, the equation line in the slope-intercept form is:
[tex]y=\frac{-5}{3}x+0[/tex]
where m=-5/3 and b=0
What is 86% of 950? *
Answer:86%of 950= 817
Step-by-step explanation:
Answer:
817
Step-by-step explanation:
6 people go to restaurant they arrived randomly at different times in how many ways can they arrive
Answer:
6
Step-by-step explanation:
Answer:
yeah 6 times.
Step-by-step explanation:
The winter temperature in London is 5° Celsius. What is that in Fahrenheit?
Answer:
41 Fahrenheit
Step-by-step explanation:
The convertion formula is:
(C × 9/5) + 32 = F
So if we fill in the blanks we get:
(5°C × 9/5) + 32 = 41°F
So the anwser is 41°F
PLEASE ANSWER QUICK 20 POINTS!!!!!
A solid metal cube 8 cm on each side is melted and recast
into a solid cylinder with radius 10 cm. What is the height
of the cylinder?
A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet
long. How tall is a man who can cast a shadow that is 14 feet long?
Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?
Answer:
B
Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer
write the point slope form of an equation with a slope of eight and a Y intercept of five
Answer:
y=8x+5
Step-by-step explanation:
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values
1 – 5
6 – 10
11 – 15
16 – 20
21 – 25
What value should be placed in the second column for the range 1 – 5?
A . 6
B . 5
C . 4
D . 3
HELP ASAP
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).
Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.
Answer: After 7 hours, 175 customers had been in the store.
Step-by-step explanation:
Did the quiz, Trust me.
Answer:
ccccccccc!
Step-by-step explanation:
Determine if the number is a negative or positive integer. Gain 4 yards in the last down.
Answer:
Positive
Step-by-step explanation:
It's positive because the person is gaining 4 yards, not losing it.
a card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 9 of spades.
Answer:
1/52
Step-by-step explanation:
To obtain the probability of drawing a 9 of spade from a deck of 52 cards ;
Probability = (number of required outcomes / number of total possible outcomes)
Number of Required outcomes = 1 (there is only one 9 of spade in a deck of 52 cards)
Hence,
P(9 of spade). = 1 / 52
7. Which transformation is not an isometry?
Explanation:
Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.
Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.
What is the value of each expression in simplest form?
5/6 + 2 1/6
Answer:
5/6 + 2 1/6 in simplest form, would be 3.
Answer:
3
Step-by-step explanation:
find the quotient 8 divided by 1/7.
Answer:
56
Step-by-step explanation:
When we divide a number with a fraction, we change the sign into a multiplication sign, and we do the reciprocal. Then we multiply across.
What is the slope for (2,0) (4,6)
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 0)
Point (4, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6-0}{4-2}[/tex]Subtract: [tex]m=\frac{6}{2}[/tex]Divide: [tex]m=3[/tex]Please help quick! It is due in 20 min! Please help!
Answer:
Step-by-step explanation:
1. (a + b) (a - b)
2. 2
3. 4.5 or 4[tex]\frac{1}{2}[/tex] or [tex]\frac{9}{2}[/tex] or if u wanna round up then 5
hope this helps :)
Pleaseee help I need a good grade for Christmas
Answer:
4 Tacos
Step-by-step explanation:
It cost less for four tacos then five tacos
Answer: 4 tacos for 3.20
Step-by-step explanation: if you divide 3.20 by 4 it equals 0.80 cents for each taco and 4.25 divided by 5 equals 0.85 cents for each taco.
Pleaseeeee helppppppp
Answer:
Step-by-step explanation:
since the first equation is already simplifies to y = 2x plug in 2x for the y in the second equation and solve
x = -(2x) + 6
x = -2x + 6
3x = 6
x = 2
plug in our x to the original equation
y = 2(2)
y = 4
so our answer is (2,4)
hope this helps <3
Answer:
x = 2
Step-by-step explanation:
If y is 2x, and x is -y + 6, what's x?
So let's use substitution method. Just replace the -y in x = -y + 6 with 2x:
x = -y + 6
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2
what is The slope of The line
Answer:
-1/4
Step-by-step explanation:hope this helps
btw can i have brainlliest?
Jenny runs track for HMS. She runs 2 miles at practice each morning. Jenny is curious, and wants to know how many feet she runs each morning.
Calculate how many feet Jenny runs at practice each morning.
O 11,516 feet
O 10,560 feet
O 10.463 feet
0 10,065 feet
Answer:
10,560
Step-by-step explanation:
1 mile=5,280 feet
5,280x2=10,560
Taylor invested $11,000 in an account paying an interest rate of 3-5% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 14 years?
Answer: 17955
Step-by-step explanation:
Demarcus and Devon were working on this problem:
A phone costs $300. The price will increase by 15%
next week.
Devon thinks the new price of the phone will be $315.
Demarcus thinks it will be $345. Who is right?
Answer:
Demarcus is right the phone will cost $345
Step-by-step explanation:
15% of 300 = 45
300+45=345
Brian is spending money at the average rate of $3 day. After 14 days he has $68 left. The amount left depends on the number of the days that have passed. How much money did brian start with
9514 1404 393
Answer:
$110
Step-by-step explanation:
At an average rate of $3 per day, in 14 days Brian will have spent ...
($3/day)(14 days) = $42
If he has $68 left, then he must have started with ...
$68 +42 = $110
please help me im very behind
Answer:
the third one should be it
Evaluate: 5.12 ÷ 102.
Answer:
0.050196
Step-by-step explanation:
normally, 2 place values is the answer so 0.05
Answer:
512
Step-by-step explanation:
Your question is probably
Evaluate: 5.12 ÷ 10^2.
your answer is here
Simplify 16 – 1.42 + (–1.5)
Answer:
13.8 is the answer ...............
b. y =
Choose the equation for the graph
below.
2x-6
a. y =
x+4
3
4x+8
5x+10
C. y =
x²-1
–3x²
2x+6
- 2x2
e. y =
x²_9
d.y=
Answer:
2 4 23
Step-by-step explanation: