Answer:
The equation of the line is:
[tex]y = -4\,x +16[/tex]
Step-by-step explanation:
A line perpendicular to the given one is going to have a slope equal to the opposite of the reciprocal of 1/4. That is the slope of the new line will be "-4".
Now we write the point-slope form for a line using the info provided of slope -4 and point (5, -4):
[tex]y-y_0=m\,(x-x_0)\\y - (-4) = -4 \,(x-5)\\y+4 = -4\,x +20\\y = -4\,x +16[/tex]
Answer:
y = -4x + 16
Step-by-step explanation:
For questions like this, I would first find the slope of the line that we are trying to find the equation for. To do this, I would use the line y = 1/4x - 2 and find the slope of a line that would be perpendicular to it. Taking the negative reciprocal of the slope of y = 1/4x - 2 will do just that.
By looking at the equation y = 1/4x - 2, we can see that the slope of the line is 1/4. The negative reciprocal of 1/4 would be -4, which would be the slope of the line whose equation we are trying to find.
Since we have a point on the line, and we now have the slope of the line, we can now make an equation for the line in point-slope form:
y + 4 = -4(x - 5)
Now while this is an equation for the line, lets try to get it into slope-intercept form:
y + 4 = -4(x - 5)
Distribute the -4 on the right side of the equation.
y + 4 = -4x + 20
Subtract 4 from both sides.
y = -4x + 16
And now we have the equation of the line in slope-intercept form.
I hope you find my answer helpful.
Jennie is paid $10 an hour for regular time work and $20 an hour for overtime
work what is Jennie's gross pay for a week in which she works 22 regular time
hours and 4 V overtime hours? (1 point)
Answer:
Jennie earned $300
Step-by-step explanation:
We are already given the amount of time that she works and the rate. We just need to multiply the time by the corresponding rate. She worked 22 regular hours and gets $10 for each one. That means she earned $220 just from the regular hours.
Now we need to add the overtime hours. She worked 4 hours and made $20 for each one. In total, that's $80.
220+80=300
Jennie earned $300
Solve for x: -6 < x - 1 < 9
Answer:
x = (-5,10)
Step-by-step explanation:
Write an expression to describe the situation. "Your cell phone costs $50 a month plus $0.25 for each text message (t).
Answer: 50x + 0.25t
Step-by-step explanation:
trust, cmon man
Answer:
50+.25(x)
Step-by-step explanation:
Community gym charges $50 membership fee and a $65 monthly fee. Workout gym charges a $170 membership fee and a $55 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Answer:
12
Step-by-step explanation:
Graph the function y=2-VX+1. What is the missing x-coordinate for the point (x,- 1.24), to the nearest tenth?
06.1
07.3
O 8.4
0 9.5
Answer:
It's 0.61
Step-by-step explanation:
I graphed the equation and got 0.61 on the x axis when the y value was 1.24
The missing x-coordinate is 9.5. The correct answer is option D.
What is a function?
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The given function [tex]y = 2 -\sqrt{x+1}[/tex] and the point are ( x, -1.24 ). Put y = -1.24 in the given equation to get the value of x.
[tex]y = 2 -\sqrt{x+1}[/tex]
[tex]-1.24 = 2 - \sqrt{x+1}\\-1.24 - 2 = \sqrt{x+1}\\-3.24 = \sqrt{x+1}[/tex]
Squaring on both sides.
[tex](-3.24)^2 = (\sqrt{x+1})^2[/tex]
10.5 = x + 1
x = 9.5
Hence, the correct option is D.
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list 0.43, 5, 6 and 4.7 from least to greatest
Answer:
0.43, 4.7, 5, 6
Step-by-step explanation:
[tex]0.43<4.7<5<6[/tex]
HELP ASAP PLEASE!!
The picture of the problem is up above.
Find the values of x, y, and z. The diagram is not to scale.
Blair's bank account was
overdrawn by $40. She spent $30 at the grocery store. What is the balance in her account now?
The addition is one of the four fundamental mathematical operations. Blair's bank balance after spending at the grocery store is -$70.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
Given that Blair's bank account was overdrawn by $40. Therefore, we can write her balance before spending at the grocery store as,
Blair's bank balance before spending at the grocery store = - $40
Now, Blair spent $30 at the grocery store. Therefore, she further takes $30 from her account. Thus, we can write Blair's bank balance after spending at the grocery store as,
Blair's bank balance after spending at the grocery store
= Blair's bank balance before spending at the grocery store + Spending
= -$40 + (-$30)
= -$40 - $30
= -$70
Hence, Blair's bank balance after spending at the grocery store is -$70.
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How do you do this question?
Answer:
0.488
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Here, n = 3 and p = 0.2.
The complement of at least 1 is at most 0.
P(r ≥ 1) = 1 − P(r = 0)
P(r ≥ 1) = 1 − ₃C₀ (0.2)⁰ (0.8)³⁻⁰
P(r ≥ 1) = 1 − (0.8)³
P(r ≥ 1) = 0.488
A jar contains 5 red marbles 3 green marbles and 4 blue marbles a marble is selected without looking what is the probability that the selected marble is red?
Answer:
5/11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
Divide 2/3 divided by 1/6
Answer:4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
-3x + 4-2x = - 4x-5
Answer:
x=9
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
-3x+4-2x=-4x-5
-3x-2x-4x=-9
-9x=-9
x=1
PLEASE HELP ITS TIMED!!!!!!
Answer:
C. -1
Step-by-step explanation:
f(x) = x^2 - 3x - 4g(x) = | x +3 | -2--------
f(x) = g(x)1. For x+3 ≥ 0 ⇒ x ≥ -3, g(x) = x + 3 - 2
x^2 - 3x - 4 = x + 3 - 2x^2 - 4x - 5 = 0(x- 5)(x + 1) = 0x = 5, x = -1x = -1 is one of the options2. For x + 3 < 0 ⇒ x < -3, g(x) = - (x +3) - 2
x^2 - 3x - 4 = -(x + 3) - 2x^2 - 3x -2 = -x - 3x^2 -2x + 1 = 0(x - 1)^2 = 0x = 1 > -3, so no solutionsAs part of a class project a university student surveyed students in the cafeteria to look for a relationship between the students eye color and hair color the table the survey results. The percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by ___ percentage points. (Round off your answer to the nearest whole number.)
Answer:
18%
Step-by-step explanation:
There are 64 students with brown eyes and black hair, and 9 students with blue eyes and black hair. A total of 303 students were surveyed, so to find the percentage you would put the number of students with that trait over the total number of students surveyed. 64/303 = 21.1221%, and 9/303 = 2.9702%. 21.1221 - 2.9702 = 18.1519. When you round that to the nearest whole number, you get 18%. Therefore, the percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by 18%.
Answer:
18%
Step-by-step explanation:
i got it right. Hope this helps.
Percy's golf score was 6 above par (+6) on Thursday. On Friday, he scored 4 under par (-4). What integer represents his combined score over the two days?
Answer:29384763728903948763782948756473893243543
Step-by-step explanation:IDK
Create a frequency table using the data. You determine the intervals you
want to use. - Record in your notebook.
5,5,5,5, 10, 10, 12, 15, 15, 15, 15, 25, 25, 25, 25, 30, 35, 40, 45, 55
Data
Answer:
Number: Frequency:
5 4
10 2
12 1
15 4
25 4
30 1
35 1
40 1
45 1
55 1
Step-by-step explanation:
You make a T-Chart. The left side is the numbers you have and the right side is the frequency of the number. (how many times you see that number)
What are two ways you can solve this problem?brainly
a jet travels 410 miles in 5 hours. At this rate, how far could the jet fly in 14 hours? What is the rate of speed of the jet
Answer:
Step-by-step explanation:
Rate X Time = distance
Therefore:
r (rate) X 5 (hours) = 600 (distance)
r = 600/5
r = 120 miles per hour
The rate of speed of the jet is 120 mph.
Then, to find out the distance flown in 13 hours:
120 (rate) X 13 (time) = d (distance)
120 X 13 = d
1560 = d
The distance flown in 13 hours is 1560 miles.
Please help me please please
Answer:
Step-by-step explanation:
5x - 16 = 4x + 6
x - 16 = 6
x = 22
5(22) - 16 = 110 - 16 = 94
4(22) + 6 = 88 + 6 = 94
For the function f(x) = x^2+ 3, what are the outputs for the inputs -3, 2, 0, and 5?
please help i have a learning disability with math and this is due tonight im literally having so many breakdowns
Answer:
F(-3)=12
F(2)=7
F(0)=3
F(5)=28
Step-by-step explanation:
What would the answer be and why?
Answer:
Solution: First option
Step-by-step explanation:
An increase in demand and a decrease in supply will cause an increase in the equilibrium price, but the effect on quantity is unclear.
Reasoning: For any quantity, the 'buyers' places a higher value on the goods, so the 'manufactures' must place higher values in order to distribute the good. Thus the price increases, but the output depends on the size of the two factors and which dominates, (1) pricing, (2) goods.
Simplify 14 to the 15th power over 14 to the 5th power.
tomorrow 100 points jk like it up
Carlos is arranging books on shelves. He has 32 novels and 24 autobiographies. Each shelf will have the same numbers of novels and autobiographies. If Carlos must place all of the books on shelves, what are the possible numbers of shelves Carlos will use?
Answer:
Carlos will need 8 shelves to arrange all the books. He will need 4 shelves for the 32 novels and 3 shelves for the 24 autobiography books.
Step-by-step explanation:
Hope this helps
Answer:
7 shelves will be used by carlos, 3 shelves for autobiographies and 4 shelves for novels
Each shelf there would be 8 books
HOPE IT HEIPS YOU
21 - 6x > 34
What’s the answer
Answer:
Step-by-step explanation:
21 - 6x > 34
-6x > 13
x < -13/6
Find the equation of a line with the given points. (2,- 7) (-2,9)
answers are: y=4x-17, y=2x-5, or y=-4x+1
Answer: y=-4x+1
Step-by-step explanation: the slope of the 2 points is -4 and in the answers -4x represents the slope.
Answer:
y= -4x +1
Step-by-step explanation:
Please see the attached picture for full solution.
13. Generalize in the diagram shown, if x + y = 180,
label the remaining angles
as x° or yº
Answer:
See attachment
Step-by-step explanation:
If x + y = 180°, the remaining angles can be labelled as illustrated in the diagram provided in the attachment below.
To properly label the diagram so that x° + y° = 180°, you must bear in mind or recall relation between angles formed when two parallel lines are cut across by a transversal line.
x° would be congruent to any angle that is either corresponding or vertical to it.
That is, for the angles labelled x°, such an angle is either corresponding to the given x° or it is vertically opposite to it.
Consequently, where the angle labelled y° forms a linear pair with x°. Linear pair of angles add up to give 180°.
9. write an equation of the line that passes through the points (3,7) and (5,11)
Answer:
[tex]y=2x+1[/tex] is the required equation of line.
Step-by-step explanation:
To find the equation of line [tex]y=mx+b[/tex] through (3, 7) and (5, 11) we first need to find the slope of line and then y-intercept.
[tex]\mathrm{Slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-3}=2}[/tex]
Use one point and slope to find the y-intercept.
[tex]7=2\left(3\right)+b\:\quad \Rightarrow \quad \:b=1[/tex]
[tex]y=2x+1[/tex]
Best Regards!
Solve the system below by substitution.
6x - y=-23
2x +5 y = -13
(-3,2)
(-4,-1)
(5,4)
(-4,1)
Answer:
[tex](-4, -1)[/tex]
Step-by-step explanation:
[tex]6x-y=-23[/tex]
Add y to both sides:
[tex]6x-y+y=-23+y\\6x=-23+y[/tex]
Divide both sides by 6:
[tex]\frac{6x}{6}=-\frac{23}{6}+\frac{y}{6}\\x=\frac{-23+y}{6}[/tex]
Substitute this into the second equation given:
[tex]2*\frac{-23+y}{6}+5y=-13[/tex]
[tex]\frac{-23+16y}{3}=-13[/tex]
Multiply both sides by 3:
[tex]-23+16y=-39[/tex]
Add 23 to both sides:
[tex]-23+16y+23=-39+23\\16y=-16[/tex]
Divide both sides by 16:
[tex]\frac{16y}{16}=\frac{-16}{16}\\y=-1[/tex]
We know that [tex]x=\frac{-23+y}{6}[/tex].
Thus, [tex]x=\frac{-23-1}{6}[/tex]
[tex]x=-4[/tex]
[tex](x, y) = (-4, -1)[/tex]
Answer:
(-4,-1)
Step-by-step explanation:
Can someone help me with this. i got the wrong anser. i know i use pemdas
₋12÷3×₍-8₊₍-4₎²-6₎₊₂
Answer:
-6
Step-by-step explanation:
