Step-by-step explanation:
y = 4x + 1 and y = -2x + 4
4x + 1 = -2x + 4, 6x = 3, x = 0.5
When x = 0.5, y = 4(0.5) + 1 = 3.
The point of intersection is (0.5, 3). (B)
Step-by-step explanation:
y = 4x + 1
A.(2,9)
y = 4(2) + 1 = 9
y = 9.
y = 4x + 1
9 = 4x + 1
9 - 1 = 4x
8 = 4x => x = 8÷4 = 2
x = 2.
y = -2x + 4.
A.(2,9)
y = -2(2) + 4 = 0
y = 0.
y = - 2x + 4
0 = -2x + 4
0 - 4 = 2x
0 = 2x => x = 0 ÷ 2 = 0
x = 0.
y = 4x + 1
B.(1/2, 3)
y = 4(1/2) + 1
y = 4 ÷ 2 + 1 = 3
y = 3.
y = 4x + 1
3 = 4x + 1
3 - 1 = 4x
2 = 4x => x = 2 ÷ 4 = 1/2
x = 1/2.
y = - 2x + 4
B.(1/2, 3)
3 = - 2x + 4
3 - 4 = - 2x
- 1 = - 2x => x = 1/2
x = 1/2.
y = - 2x + 4
y = - 2(1/2) + 4
y = -2(0.5)+ 4
y = -1 + 4 = 3
y = 4x + 1
C.(1,2)
y = 4(1) + 1 = 5
y = 5.
y = 4x + 1
5 = 4x + 1
5 - 1 = 4x
4 = 4x => x = 4÷4 =1
x = 1.
y = -2x + 4
C.(1, 2)
y = - 2(1) + 4
y = - 2 + 4 = 2
y = 2.
2 = -2x + 4
2 - 4 = - 2x
- 2 = - 2x => x = 2÷2 = 1
x = 1.
y = 4x + 1
D.(1/4, 2)
y = 4(1/4) + 1
y = 4(0.25) + 1
y = 1 + 1 = 2
y = 2.
y = 4x + 1
2 = 4x + 1
2 - 1 = 4x
1 = 4x => x = 1/4
Point A is the point of intersection of the lines.
find the value of x if 5^2 ×5^x-5 =625
Given:
[tex]5^2\times 5^{x-5}=625[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^2\times 5^{x-5}=625[/tex]
It can be written as
[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]
Using property of exponents, we get
[tex]5^{2+x-5}=5^4[/tex] [tex][\because a^m\times a^n=a^{m+n}][/tex]
[tex]5^{x-3}=5^4[/tex]
Comparing the exponents on both sides, we get
[tex]x-3=4[/tex]
Adding 3 on both sides, we get
[tex]x=4+3[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is
Answer:
x = - 1, y = 2, z = 1
Step-by-step explanation:
Given the 3 equations
2x - y + 3z = - 1 → (1)
x + 2y - 4z = - 1 → (2)
y - 2z = 0 → (3)
Add (1) and (3) term by term
2x + z = - 1 → (4)
Multiply (1) by 2
4x - 2y + 6z = - 2 → (5)
Add (2) and (5) term by term
5x + 2z = - 3 → (6)
Multiply (4) by - 2
- 4x - 2z = 2 → (7)
Add (6) and (7) term by term
x = - 1
Substitute x = - 1 into (4)
- 2 + z = - 1 ( add 2 to both sides )
z = 1
Substitute x = - 1, z = 1 into (2)
- 1 + 2y - 4 = - 1
- 5 + 2y = - 1 ( add 5 to both sides )
2y = 4 ( divide both sides by 2 )
y = 2
solution is (x, y, z ) = (- 1, 2, 1 )
What is the probability that the selected adult is a smoker?
Answer:
Alot of adults smoke and very little adults don´t smoke at all
Step-by-step explanation:
14.0% of U.S. adults overall.
like to me 85% of adults smoke
what is 5x + 3y = 12 written in slope intercept form
Answer:
y=4-5/3x
Step-by-step explanation:
Rearrange and simplify.
467 divided by 17 plzz answer
Answer:
27.47059
Step-by-step explanation:
Just use a calculator :^
Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?
Answer:
$3360
Step-by-step explanation:
7% of $6000=$420
$420 time 8= $3360
Hope this helped! :)
Answer:
$3,360
Step-by-step explanation:
So first of all you want to start by finding what P, r and t would be.
P = Principal amount ($$)
r = interest rate (%)
t = time (years)
Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)
Hope this helps! :)
Have a great day!
PLEASE HELP JESUS I DONT UNDERSTAND
Answer:
22 units
Step-by-step explanation:
The formula for the area of a trapezoid is A = [tex]\frac{a+b}{2} h[/tex] where a and b are the bases and h is the height of the trapezoid.
In this case, the numbers that will be replacing a and b will be 4 and 7, making the equation look like this: A = [tex]\frac{4+7}{2}h[/tex] .
Now, you have to determine the height of the trapezoid, which in this case is 4 units. The equation will now look like this: A = [tex]\frac{4+7}{2}4[/tex].
You can solve from here like so:
A = [tex]\frac{11}{2}4[/tex]
A = 5.5(4)
A = 22
sorry that took long :3))
I got the measurements like 4, 7, and the other 4 from rotating the shape to have the longer side on the bottom.
3
What is the decimal equivalent of 3/9? (5 points)
0.2
0.3
О.4
0.5
Answer: 0.3
Step-by-step explanation: Because thats the answer
Answer:
0.3
Step-by-step explanation:
This is because, when you divide 3/9 it gives you 0.33333.. (Repeating, Irrational number) So you would round to the nearest tenths, which would give you 0.3 because the hundredths place isn't 5 or over. Hope this helps :)
In what ways do you follow a healthy diet?
Tickets to the school dance cost $3.00 in advance or $5.00 at the door. There were a total of 184 tickets sold, raising $688. How many tickets were sold at the door?
I will give 5 stars and brainlist.
Answer:
I believe it's B
Step-by-step explanation:
I'm so sorry if im wrong
Find the -intercept and -intercept of the line.
3x-7y=-21
x-intercept
y-intercept
x intercept (- 7,0)
y intercept (0,3)
6th grade math i mark as brainliest
Rudy has three recipes for fruit punch. Each recipe calls for a certain amount of pineapple juice.
Recipe 1 2 cups of pineapple juice for 5 cups of punch
Recipe 2 7.2 cups of pineapple juice for 20 cups of punch
Recipe 3 6.4 cups of pineapple juice for 16 cups of punch
Use the information in the table to complete the statements below.
______ have the same proportion of pineapple juice to punch. For these two recipes, the unit rate of pineapple juice to punch is ________
.
If Rudy used either of these two recipes to make 3 cups of punch, there would be
________ cups of pineapple juice in in the batch.
Answer: Recipes 1 and 3 have the same proportion.
The unit rate is 1 cup of pineapple juice for 2¹/₂ cups of punch
To make 3 cups of punch, there would be 1.2 cups of pineapple juice.
To make 30 cups of punch, there would be 12 cups of pineapple juice.
Step-by-step explanation:
To find proportions, divide the amounts
2/5 = 0.4 7.2/20 = 0.36 6.4/16 = 0.4
I added the 30 cup batch because it seems unlikely that anyone would want to make only 3 cups of punch.
HELP ILL GIVE brainliest !!
Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.
Step-by-step explanation:
Answer:
part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group
Step-by-step explanation:
A example when looking trail mix would be:
Part to part: comparing the number of peanuts to the number of raisins
Part to whole: comparing the number of peanuts to the entire bag of trail max
If 28 parrots and 79 bunnies were in the same shelter what is the rate of parrots to bunnies?
and if u delete that i can say u guys were deleting actual questions- and have proof too ha.
seriously again im not mean irl
Answer:
79/28
Step-by-step explanation:
i have no clue-
write the formula of mode for grouped data,and explain each term in it.
Answer:
Mode =Li+[f1-f0/2f1-f0-f2] *h
Li=lower limit.
F1= first frequency
F0= upper frequency of first frequency.
F2= second frequency.
H= difference between class intervals.
Hope it is helpful
WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?
sarah has a rope that is 36 feet long she is cutting it into 6 foot pieces to make jump ropes how many jump ropes can sarah make ?
Answer:
she can make 6 jump ropes
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)
Answer:
318.6
Step-by-step explanation:
(3x-9) + (x+15) = 180
3x (x+15) -9 (x+15)
4x + 45x - 9x + 6 = 180
40x + 6 = 180
40x = 180 - 6
40x = 174
x = 4.34
(3x-9) = 4.34 * 3x-9 = 4.02
(x+15) = 4.34 + 15 = 19.34
180 - (4.02 + 19.34)
= 180 - 23.36
= 156.64
hope this answer helps!!
Is 18x-2y = 26 linear or non linear?
Answer: it’s a linear function
Step-by-step explanation:
18x-2y=26 as -2y= -18x + 26 by adding 18x to both sides, and then y=9x - 13 by dividing both sides by -2. So, it represents a linear function
Answer:
It's linear
Step-by-step explanation:
18x-2y=26
Because it has two variables x and y
Calculate the average time it took the car to travel 0.25 and 0.50 meters with two washers attached to the pulley. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answer:
1.92 second at 0.25 meters.
2.61 second at 0.50 meters.
Step-by-step explanation:
the average 2 washers on time travel of:
0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second
0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second
In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:
A) In 0.25 meters in 1.92 second.
B) In 0.50 meters in 2.61 seconds.
We know that some information is given in the statement as:
In 0.25 meters the car speeds are: 1.94/ 1.95/ 1.87In 0.50 meters the car speeds are: 2.69 / 2.72 / 2.42Knowing that the formula for calculating time is given by:
[tex]Time= Distance/Speed[/tex]
So we have:
A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]
B) [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]
See more about time at brainly.com/question/2570752
Which triangles are similar A or b? I need help.
Answer:
A!
Step-by-step explanation:
Can S1 help pls and ty
Answer:
It is 52
Step-by-step explanation:
Hope this helped have an amazing day!
A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?
Answer:
70.3
EXPLANATION:
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Grace has two part time jobs. At one job, she works
as a cashier and makes $8 per hour. At the second
job, she works as a tutor and makes $12 per hour.
One week she worked 6 hours and made $56. Which
of the following systems could be used to find the
number of hours she worked at each job?
Answer: the correct answer is number one
Step-by-step explanation:
What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0
Answer:
x = -3, x = 7
Step-by-step explanation:
( 5x + 15 ) ( x - 7 ) = 0
5x + 15 = 0
5x = -15
x = -3
x - 7 = 0
x = 7
Answer:
x=−3 or x=7
Step-by-step explanation:
(5x+15)(x-7)=0
5x2−20x−105=0
5(x+3)(x−7)=0
x+3=0 or x−7=0
x=−3 or x=7
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.
$624 = $12t
What is the unit rate in the equation above?
A.
$624 per raffle ticket
B.
$52 per raffle ticket
C.
$612 per raffle ticket
D.
$12 per raffle ticket
Answer:
B. 52 per raffle ticket
Step-by-step explanation:
you divide 624 by 12 giving the answer of 52
Laurie filled a container full with water. She put 42
ounces of water in it.
What is the capacity of Laurie's container?
Solve the inequality of x. 2x + 6 < 18
The Answer isssssssss x<6