Answer:
y=-3/4x+1/4
Step-by-step explanation:
This is the concept of equations of graphs; We are required to calculate for the equation if the line that is perpendicular to the line 4x-3y=-8 and passes through point (3,-2).
Here we proceed as follows;
4x-3y=-8 can be written in he form y=mx+c as follows;
-3y=-4x-8
thus;
y=4/3x+8/3
The slope of the line perpendicular to this is -3/4. Thus using point (3,-2) the equation will be as follows;
-3/4=(y--2)/(x-3)
-3/4(x-3)=y+2
y+2=-3/4(x-3)
y+2=-3/4x+9/4
thus;
y=-3/4x+1/4
the answer is:
y=-3/4x+1/4
Divide. Give the quotient and the remainder
303÷4
Scores on the GRE are normally distributed with a mean of 514 and a standard deviation of 92. Use the 68-95-99.7 rule to find the percentage of people taking the test who score above 698.
The percentage of people taking the test who are above 698 is ___%
Answer:
2.5%
Step-by-step explanation:
The percentage of people taking the test who are above 698 is ___%
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question, we have:
Mean of 514 and a Standard deviation of 92
Hence:
μ ± xσ
514 ± 92x = 698
514 + 92x = 698
92x = 698 - 514
92x = 184
x = 184/92
x = 2
Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:
100 - 95% /2
= 5/2
= 2.5%
The percentage of people taking the test who are above 698 is 2.5%
Help don’t understand
Help I will give brainliest with 11 b and c
Answer:
A) 55 + x ≤ 100
B) 55 + x ≤ 70
Step-by-step explanation:
A Explanation - Inequalities use signs < , > , ≤ , and ≥. We also know you have 100 seconds to beat the level, so you have to solve it in 100 or less, which tells us the 55 + the time left (x) must be less than or equal to 100. Solved will be attached.
B Explaination -
Like A, you can use the same setup, but switching a value. You already have the 55, you need 70. Or less points to ≤, same as before, so you can keep it the same, except with the 70 instead of the 100. Solved attached.
Use substitution to solve the system.
y = 2x – 11
3x + 5y = -3
The art teacher buys containers to store 1,314 colored pencils. Each container holds 18 pencils. How many containers does the art teacher need to store all the colored pencils?
Answer:
The art teacher needs 73 containers to store all the colored pencils.
Step-by-step explanation:
1,314 colored pencils ÷ 18 pencils per container = 73 containers total
The number of containers the art teacher need to store all the colored pencils is 73.
Given that, the art teacher buys containers to store 1,314 colored pencils.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here, each container holds 18 pencils.
Number of containers = Total number of pencils/Number of pencils in each container
= 1314/18
= 73
Therefore, the number of containers the art teacher need to store all the colored pencils is 73.
To learn more about the unitary method visit:
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solve the following b)7+2x/3=5
Answer:
x= -3
Step-by-step explanation:
you stupid
Answer:
x= -3
Step-by-step explanation:
its a bit easy..........................
Given f(x) = 2x2 – 3x + 7, find f(2.5)
Answer:
f(2.5)=3.5
Step-by-step explanation:
f(x)=2×2-3x+7
So,
f(2.5)=2×2-3×2.5+7
=4-7.5+7
=11-7.5
=3.5
Hope it will help you
what is 1/3x +26 = 23 equal? please help thank you.
Answer:
x= -9
Step-by-step explanation:
Yasmine needs to create invitations for the party she has 3/4 of an hour to make the invitations it takes her 1/12 of an hour to make each card how many invitations can Yasmine create?
Answer:
Yasmine can make 9 invitations.
Step-by-step explanation:
[tex]\frac{\frac{3}{4} }{\frac{1}{12} }=\frac{36}{4}=9[/tex]
what is the slope of the line that contains these points (31,10)(36,7)(41,4)(46,1)
Sam's skateboard Shack rents skateboards for $12 per hour plus a nonrefundable fee of $10. Which equation can be used to find the y, the amount of dollars it would cost to rent a skateboard for x hours?
A. y= (12+10)x
B. y= 10x+12
C. y= 12x-10
D. y= 12x+10
Answer:
The Answer is D
Step-by-step explanation:
12x + 10
Select the correct answer.
What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
selling price = original cost + markup value
A.
$509.95
B.
$831.57
C.
$835.49
Answer:
C.) $835.49
(For plato users)
If x = -2, then x^2-7x+10 equals
0
20
28
Answer:
28
Step-by-step explanation:
Substitute x = - 2 into the expression, that is
(- 2)² - 7(- 2) + 10 = 4 + 14 + 10 = 28
.
For what value of k is the expression
4x2 – 8x +k a perfect square?
A.
B.
C.
D.
E.
64
32
16
8
4.
Answer:
[tex]k = 4[/tex]
Step-by-step explanation:
Given
[tex]4x^2 - 8x + k[/tex]
Required
Determine k if the expression is a perfect square
A quadratic is of the form;
[tex]ax^2 + bx + c[/tex]
Where (by comparison):
[tex]a = 4[/tex] [tex]b = 8[/tex] [tex]c = k[/tex]
If the above is a perfect square, then
[tex]k = \frac{b^2}{4a}[/tex]
Substitute values for a, b and c
[tex]k = \frac{8^2}{4*4}[/tex]
[tex]k = \frac{64}{16}[/tex]
[tex]k = 4[/tex]
Hence, k = 4
Solve for x. Leave your answer as a fraction.
4x-2/5 = 2/7
simplify the equation-6z + (-5.5) + 3.5z + 5y - 2.5?
Answer:
5
y
−
2.5
z
−
8
Step-by-step explanation:
−
6
z
−
5.5
+
3.5
z
+
5
y
−
2.5
Add
−
6
z
and
3.5
z
.
−
2.5
z
−
5.5
+
5
y
−
2.5
Answer:
− 25z+5y−8
Step-by-step explanation:
DIFFERENTIATE W.R.T. Z
−2.5
Factoring trinomials and difference of squares. I need to understand the steps.
Answer:
Factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]
Step-by-step explanation:
We need to solve the polynomial: [tex]3x^2-75[/tex]
First we see that 3 is common term, so taking 3 as common
[tex]3(x^2-25)[/tex]
We know that 25 = 5x5 = 5²
So, replacing 25 with 5²
[tex]3(x^2-5^2)[/tex]
We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]
Applying this in our equation: [tex]x^2-5^2=(x+5)(x-5)[/tex]
[tex]3(x+5)(x-5)[/tex]
So, factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]
0.4 plus 0.77 add them
Answer:
1.17
Step-by-step explanation:
0.4+0.77 = 1.17
What kind of graph is this ?
A. Positive
B. Negative
C. Undefined
D. Zero
Answer:
B. negative
Step-by-step explanation:
it is on the negative side of the graph
Answer:
C.
Step-by-step explanation:
its c, undefined. remember that zero will be horizontal and undefined will be vertical like in this picture. hope this helped
Find the mean of the set: 18, 12, 23, 15, 12.
Answer:
The answer is 16 or 16.5
Step-by-step explanation:
To find the mean Add up all data values to get the sum.
Count the number of values in your data set.
Divide the sum by the count.
Answer:
Answer is : 16
Step-by-step explanation:
18+12+23+15+12=80
80 On the number of divided numbers
80/5=16
May I know this answer
For questions 1 – 3, determine whether the sequence is arithmetic, geometric, or neither. 1. 2, 4, 6, 12, 24, ...
HELP ASAP
Answer:
sorry I didn't know the answer
3{x-9}=3
what does x equa
3(x - 9) = 3
3x - 27 = 3
3x = 3 + 27
3x = 30
x = 30/3
x = 10
In a random sample of 300 people in a town, 193 were female. What is the sample portion of female
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
the product does not exits
The product matrix is,
[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
For example, is a matrix with two rows and three columns.
here, we have,
two matrices,
A = 2×3
and, B= 3×2,
as the no. of column of A = the no. of row of B
the can be a product matrix of order 2×2.
Now, we get,
the product matrix is,
[tex]\left[\begin{array}{ccc}-10&-4\\13&-5\\\end{array}\right][/tex]
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Find the rate, write an equation to represent the relationship, and then solve the problem. Include all three parts in your answer.
Ana scores 33 points in 3 basketball games. If she continues at the same rate, how many points will she score in 5 basketball games?
asap asap asap asap asap asap asap asap asap asap asap asap asap
Answer:
55 points
Step-by-step explanation:
If she scored 33 points in 3 games then she is scoring 11 points per game. If you multiply 11 and 5 you will get 55
Answer:
its pretty easy do it urself
Step-by-step explanation:
u just divided and mutiply
2(x-3)+5>39
Thanks!!!!!!!!!!!
Answer:
x > 20
:) hope this helps
Round 0.93 to the nearest tenth.
Answer:
the answer would be 0.9
Step-by-step explanation:
when rounding anything under 5 remains the same and anything over 5 rounds up to the next number. in this case three is less than five so the 9 would remain the same
What is the y coordinate in the solution for the system of linear equations 5x-2y=4, 3x-4y=-6
y =3
After you set each equation to terms where you can cancel out the x
you are left with:
14y = 42
y = 3
** sorry