Answer:
y = 3x - 8
Step-by-step explanation:
All the options are written in slope-intercept ( [tex]y = mx + b[/tex]) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.
1) First, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the point-slope equation of the line. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
Since [tex]m[/tex] represents the slope, substitute 3 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:
[tex]y-7 = 3(x-5)[/tex]
2) Now, isolate y in the above equation to find its slope-intercept form.
[tex]y-7=3(x-5)\\y-7 = 3x-15\\y = 3x -8[/tex]
Thus, the answer would be the third option as it matches the result we received.
{4x − 3y = −32x + 6y = −4 Solve the system of equations.
Input your answer as a point.
Otherwise, enter "No solution" or "Infinite number of solutions.
Answer:
Sorry I don't know that one
Q7: Subtract
(a) -6x – 3 from 2x – 5,
(b) 6x – y + 5z from 10x – 2y + z,
(c) 8p + 99 – 5rs from 4p – 49 + 15sr,
(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.
What is the following sum of 3/10 + 39/100
Answer:
.69 is the answer to the question
The probability distribution for a random variable x is given in the table Find the probability that X<=20
probability for X<=20 is 1
what is probability?
the probability is the department of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The chance of an event is a number between 0 and 1, in which, roughly speaking, zero indicates the impossibility of the event and 1 shows certainty.
probability = the number of ways of attaining success. the total number of possible results. For instance, the chance of flipping a coin and its being heads is ½, due to the fact there may be 1 way of getting a head and the total number of possible outcomes is two (a head or tail).
Learn more about probability here
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Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?
Answer:
En 2001 el pueblo poseía 45.826 habitantes.
Step-by-step explanation:
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:
13.578*1,5= 20.367
Por lo que en 1988 el pueblo poseía 20.367 habitantes.
En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:
20.367* 2,25= 45.825,75≅ 45.826
Por lo que en 2001 el pueblo poseía 45.826 habitantes.
1. Add: 85 + (-96) *
Help
Answer:
Your answer is -11
Step-by-step explanation:
85-96=-11
Compare. Fill in the blank using <,>,or =
16. -2/3_____-1
17. -1 3/4_____1 5/6
18. -2/7______0
How do I Solve for x.
4x^2-64=0
Answer:
Step-by-step explanation:
.
4
2
Answer:
x = 4, -4
Step-by-step explanation:
You can do this by simply pressing the calculator OR by simplify
4x^2 - 64 = 0
(2x)^2 - 8^2 = 0
(2x - 8)(2x + 8) = 0
∴ 2x - 8 = 0 or 2x + 8 = 0
x = 4 or x = -4
12 = x +24/8
I really need help with this
Answer:
x = 9
Step-by-step explanation:
24 divided by 8 is equal to 3.
12 = x + 3 (subtract three from both sides)
9 = x
You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?
Answer:
1,187.50
Step-by-step explanation:
Answer:
Step-by-step expiation
we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3
2.5% = 0.025
0.025 x 3 = 0.075
Then we will multiple the tax rate by our principal,
52,000 x 0.075 = 3,900
52,000 - 3,900 = 48,100
This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.
What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11.6 units3 45.4 units3 57.0 units3 68.6 units3
Answer:
45.44units^3
Step-by-step explanation:
Volume of the shaded part = Volume of the triangular based prism - Volume of square based prism
Volume of prism = Base area * Height
Volume of the triangular based prism = (5 * 4 * 5.7)/2
Volume of the triangular based prism = 57units^3
Volume of square based prism = 1.7* 1.7 * 4
Volume of square based prism = 11.56units^3
Taking the difference
Volume of the shaded solid = 57 - 11.56
Volume of the shaded solid = 45.44units^3
Answer:
B
Step-by-step explanation:
Can someone plzzzz help meeee!!!!!
Answer:
1. Interpret (L): To explain or to give meaning to.
2. Variable: (F) Something that can change or influence the results of an experiment.
3. Observe (I): To notice what occurs during an experiment.
4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.
5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.
6. Ethical (E): Following the rules of being being fair and honest.
7. Hypothesis (G): An educated guess or reasonable assumption.
8. Research (D): To conduct an investigation into current information about something.
9. Experiment (C): A test or trial performed in order to discover something.
10. Conclusion (K): The result or outcome of something.
11. Procedure (H): A sequence of steps involved in performing an experiment.
If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
A. 4
O
B. 1
o
C. -1
D. -4
SUBMIT
Answer:
-1
Step-by-step explanation:
We can use the slope formula when given two points
m= ( y2-y1)/(x2-x1)
= ( 3-7)/(2 - -2)
= (3-7)/( 2+2)
= -4/4
= -1
If y varies directly as x, if y = 8 when x = 4, find y when x = 48
can u help me with this
Answer:
245 degrees
Step-by-step explanation:
The circle is 360 degrees and you have only found 55 and 60 you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.
Answer:
120 degree
Step-by-step explanation:
jn-60 vwrtical oopsite angle
nk 180
jk 180-60
Celia uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Given:
Total paint used = 7.9 pints
Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.
The remaining paint is white.
To find:
The amount of white paint.
Solution:
Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.
[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]
[tex]\text{Blue paint}=3.16[/tex]
Now,
[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]
[tex]\text{White paint}=7.9-3.16[/tex]
[tex]\text{White paint}=4.74[/tex]
Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.
Find the smallest value of m such that the LCM of m and 34 is 374.
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
if your smart what is 1 + 1= ?
Answer:
1+1=2
easy
plz mark as brainliest
The points (4, -6) and (r, 6) lie on a line with slope 3. Find the missing coordinate r.
Answer:
r = 8
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)
m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then
[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))
12 = 3(r - 4) ← divide both sides by 3
4 = r - 4 ( add 4 to both sides )
8 = r
4. Jessica is saving money to buy a phone that costs $415. She already has $85 saved. She mows
lawns to make extra money. She charges $15 per lawn that she mows. Let n be the number
of lawns she needs to mow to have enough money saved to buy the phone.
Set up and solve an equation to find the value of n.
Answer:
15n = 330
Value of n(number of lawns) = 22
Step-by-step explanation:
She has already saved $85 which means the amount of money she needs left will be
=$415 - $85
= $330
Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.
15n = 330
To go further, divide both sides by 15 to get the number of lawns she has to mow.
[tex]\frac{15n}{15} =\frac{330}{15}[/tex]
n = 22
∴ She needs to mow 22 lawns to get the amount of money she needs.
I need helppp I’m stuck
PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1
Answer:
22
50
Step-by-step explanation:
Please help me give Brain
Answer:168
Step-by-step explanation:
For each ordered pair determine whether it’s a solution to 5x plus 2y = -1
Answer:
1,-3
Step-by-step explanation:
which answer is correct
Answer:
The answer is b
30 = 6y
A)y= 5
B)y = 6
C)y = 180
D)y = 10
Answer:
A) y = 5
Step-by-step explanation:
30 / 6 = 5
y = 5
Hope this helps! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. What was the total amount of gasoline Michael used?
Answer:
11/40 of a gallon
Step-by-step explanation:
The amount of gasoline in the tank of lawn mower = 3/8 of a gallon
Then he put the amount of gasoline in the tank = 4/10 of a gallon
The total amount of gasoline filled in the tank = 3/8 + 4/10
= 3/8 + 2/5
= 15+16/40
= 31/40
The total amount of gasoline filled in the tank = 31/40
The amount of gasoline left in the tank after mowing = 2/4
Total amount of gasoline Michael used = 31/40 - 2/4
= 31-20/40
= 11/40 of a gallon
Alternatively, you can follow this method:
Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)
= 3/8 + (2/5 - 2/4)
= 3/8 + ( 8-10/20)
= 3/8 + (-2/20)
= 3/8 + (-1/10)
= 3/8 - 1/10
= 30-8/80
= 22/80
= 11/40 of a gallon
Total amount of gasoline Michael used = 11/40 of a gallon
Work out the reciprocal of 0.125
Answer:
The right answer is 8 hope I helped
Please help
If 100% = Rs. 120, then
A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84
Answer:
Simple: C. 70% = Rs. 84
Step-by-step explanation:
cause it can't be 120% if Rs.120 is the 100%