Answers
Answer:
y= -2x+7Here,
Two points given: (3,1) and (7,-7)
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{ - 7 - 1}{7 - 3} \\ \: \: \: \: \: \: \: \: \: = \frac{ - 8}{4} \\ \: \: \: \: \: \: \: \: \: \: = - 2 \\ [/tex]
Equation of line is y= Mx+b
y= -2x +b
It passes through (3,1)
[tex]1 = - 2(3) + b \\ 1 = - 6 + b \\ - b = - 6 - 1 \\ - b = - 7 \\ b = 7[/tex]
Equation of line:
y= -2x+7Hope this helps..
Good luck on your assignment..
Related Questions
During the recent recession, Bob's home value dropped to only $175,000. Since then the economy has turned around and the market is improving at a rate of 4.5% annually. At this rate, how much will Bob's home be worth 12 years after the market started improving? And what equation did you use?
Answers
Answer:
Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
Step-by-step explanation:
Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]
market is improving at 4.5% annually.
This, means that the value of house gets appreciated by 4.5% each year from its previous year value.
This is a problem of compound interest formula
[tex]FV = PV(1+r/100)^n[/tex]
where PV is the present value of any thing
FV is the future value
r is the annual rate of interest
t is the time in number of year for which rate is applicable.
_____________________________________
Given
PV = $175,000.
r = 4.5%
t = 12 years
Value after 12 year will be given by
[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]
Thus, Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
D
AABC = ADBC, AB = 10, mZA = 44°
mZD = [? ]
Answers
Answer:
∠ D = 44°
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent, thus
∠ D = ∠ A = 44°
The functions f(x) and g(x) are shown on the graph.
Rx) = x²
What is g(x)?
Answers
Therefore f(x) = - x^2 (NOT IN PARENTHESIS that would be a reflection on the y axis)
It’s a shift 4 y values down therefore
g(x) = - x^2 - 4
Find the common difference for the sequence shown.
56, 49, 42, 35, ...
0-12
0-7
07
Answers
To find the common difference, subtract all the numbers in order.
56 - 49 = 7
49 - 42 = 7
42 - 35 = 7
Therefore, common difference is 7.
Best of Luck!
Answer:
The answer is -7
(got this answer right on the lesson)
Step-by-step explanation:
Using the Venn Diagram below, what is the conditional probability of event A occurring, assuming that event B has already occurred [P(A|B)]? 0.10 0.22 0.71 0.05
Answers
Using conditional probability, it is found that the desired probability is given by: P(B|A) = 0.77.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.Researching the problem on the internet, it is found that the Venn diagram gives these following probabilities:
[tex]P(B) = 0.53, P(A \cap B) = 0.41[/tex]
Hence:
[tex]P(B|A) = \frac{0.41}{0.53} = 0.77[/tex]
More can be learned about conditional probability at https://brainly.com/question/14398287
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give your answer as a mixed number
4 3/7 - 2 5/7
get brainliest urgent plz help
Answers
Answer:
[tex]1\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]4\frac{3}{7} -2\frac{5}{7}[/tex]
Step 1. Simplify left side 4*7+3 , Right Side 2*7+5
[tex]=\frac{31}{7} -\frac{19}{7} = \frac{12}{7}[/tex]
Step 2. Re-write 12/7 as mixed number
[tex]\frac{12}{7} = 1\frac{5}{7}[/tex]
Please may someone answer it,
WORTH 81 POINTS!!!
Answers
Answer:
[tex]\boxed{V = 1436.8 cm^3}[/tex]
Step-by-step explanation:
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 7 cm
Volume of Sphere = [tex]\frac{4}{3} (3.14)(7)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(343)[/tex]
V = 4310/3
V = 1436.8 cm³
Answer:
1436.8 cm^3Solution,
Radius= 7 cm
Volume of sphere:
[tex] \frac{4}{3} \pi \: {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {7}^{3} \\ = \frac{4}{3} \times 3.14 \times 343 \\ = 1436.8 \: {cm}^{3} [/tex]
Hope this helps...
Good luck on your assignment...
There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have A.one solotion B.no solotion C.infinitely many solotions
Answers
Answer:
Step-by-step explanation:
let the smallest number=x
largest number=y
y=2x
again x-1/2 y=20
or 2x-y=40
2x-2x=40
or 0=40
which is impossible.
∴ it has no solution.
Please solve okay ty ty
Answers
Answer:
The answer is A.
Step-by-step explanation:
Ok, first let see with each point makes the inequality true. Remember that a point is made up of x and y in the form of (x , y).
Let's see if A suits this inequality. Replace the x in the inequality with 5 and the y with 1. The inequality should look like this: 5(1) - 8(5) [tex]\leq[/tex] 10. 5 times 1 is 5 and 8 times 5 is 40. 5 - 40 is -35. -35 is less than 10 so this true. So A is a solution.
NOTE THAT THE SIGN "[tex]\leq[/tex]" MEANS GREATER THAN OR LESS THAN SO YOU ONLY NEED TO MEET ONE CONDITION.
Let's see if B suits this inequality. Replace the x in the inequality with -3 and the y with 2. The inequality should look like this: 5(2) - 8(-3) [tex]\leq[/tex] 10. 5 times 2 is equal to 10 and -8 times -3 is equal to 24. Now the quation is this: 10 + 24 [tex]\leq[/tex] 10. 10 plus 24 is 34 and 34 IS NOT EQUAL OR LESS THAN 10. So B is not a solution.
Let's see if C suits this inequality. Replace the x in the inequality with 0 and the y with 4. The inequality should look like this: 5(4) - 8(0) [tex]\leq[/tex] 10. 5 times 4 is 20 and -8 times 0 is 0. 20 + 0 is 20 and 20 IS NOT LESS THAN OR EQUAL TO 10. So C is not a solution.
-1, -5
Let's see if D suits this inequality. Replace the x in the inequality with -1 and the y with -5. The inequality should look like this: 5(-5) - 8(-1) [tex]\leq[/tex] 10. 5 times -5 is -25 and -8 times -1 is 8. -25 plus 8 is -17 and -17 IS NOT LESS THAN OR EQUAL TO 10. So D is not a solution.
HOPE THAT HELPED!
Answer:
the answer is A
hope it helps
On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?
Answers
y = amount of 5% gain investment
x + y = 13,500 {the two investments total $13,500}
-0.03x + 0.05y = 319 {3% loss on one and 5% gain on other, receipt is $319}
x = -y + 13,500 {subtracted y from each side of first equation}
-0.03(-y + 13,500) + 0.05y = 319 {substituted (-y + 13,500), in for x, into second equation}
0.03y - 405 + 0.05 = 319 {used distributive property}
0.08y - 405 = 319 {combined like terms}
0.08y = 724 {added 405 to each side}
y = 9050 {divided by 0.08}
x = -y + 13,500 {from equation above}
x = -9050 + 13,500 {substituted 9050 in for y}
x = 4450 {added}
The 3% loss investment was $4450
The 5% gain investment was $9050
solve for x 3x+3+=12 1. 6 2. 5 3. 4 4. 3
Answers
Answer:
4.(3)
Step-by-step explanation:
3x+3 = 12
Subtract 3 to both sides.
3x = 9
Divide the left side by 3, then divide the right side by 3
x = 3
Answer:
Hi! your answer should be D. 3
Step-by-step explanation:
1. 3x+3=12
-3 -3
2. 3x=9
÷3 ÷3
3. x= 3
[So, your answer should be D. x=3]
Hope this helps!
A hobbyist is making a toy sailboat. For the triangular sail, she wants the height h (in inches)
to be twice the length of the base b (in inches). Can the area of the sail be 10 inº?

Answers
Answer:
xx
Step-by-step explanation:
Write the algebraic expression for each word problem. See if you can spot the trick problem that doesn’t need algebra!
Answers
Answer:
6) -7 + 10 = 3 (3 more; total number doesn't matter)
7) 50w + 20
8) c / 5
9) 5 + 2t
10) 4d + 2d
I didn't see the trick problem!
plz help me do this i will help u if i know
Answers
Answer:
77
Step-by-step explanation:
2+3+5+7+11+13+17+19=77
An office remodeling job takes 5 & 1/2 days to complete. Before working
on the job the builder estimated the job would take 4 & 3/4 days. What
percent of the estimated time is the actual time? ( Round your answer to
the nearest whole percent.)
Answers
Answer: The percent of the estimated time is the actual time is about 14%.
Step-by-step explanation:
As per given,
Actual time of completing the job = [tex]5\dfrac{1}{2}\text{ days}=\dfrac{11}{2}\text{ days}[/tex]
Estimated time for completing the job = [tex]4\dfrac{3}{4}\ \text{days}=\dfrac{19}{4}\ \text{days}[/tex]
The percentage error is given by:-
[tex]\%\text{ error}= \dfrac{|\text{Estimated-Actual}|}{\text{Actual}}\times100[/tex]
[tex]=\dfrac{|\dfrac{19}{4}-\dfrac{11}{2}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{19-22}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{|\dfrac{-3}{4}|}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{\dfrac{3}{4}}{\dfrac{11}{2}}\times100\\\\\\=\dfrac{3\times2}{11\times4}\times100\\\\\approx14\%[/tex]
The percent of the estimated time is the actual time is about 14%.
Which relationships would most likely be causal? Select two options.
Answers
Answer:
A negative correlation between the temperature and the amount of snow still on the ground.
A negative correlation between the number of digital photos uploaded to a website and the amount of storage space that is left.
Step-by-step explanation:
These are the two relationships that are most likely to be causal. Causal relationships are those in which one aspect is the cause of the second one being described. Moreover, a negative correlation is one in which one aspect of the relationship increases while the other one decreases. In the first example, as the temperature goes up, this causes the amount of snow on the ground to go down. In the second example, as you upload more pictures to a website, there is less storage space.
A negative correlation between the number.
someone please help me with this
Answers
This is (E/m) all to the 1/2 power
=================================================
Work Shown:
[tex]E = mc^2\\\\mc^2 = E\\\\c^2 = \frac{E}{m}\\\\c = \left(\frac{E}{m}\right)^{1/2}\\\\[/tex]
The idea is to first isolate [tex]c^2[/tex] by dividing both sides by m. This undoes the multiplication of m and [tex]c^2[/tex]
The next step is to fully isolate c. One way is to apply the square root. Another way is to raise both sides to the 1/2 power. Either way, that will get c all by itself.
Side note: [tex]\sqrt{x} = x^{1/2}[/tex]
So this means that [tex]\left(\frac{E}{m}\right)^{1/2} = \sqrt{\frac{E}{m}}[/tex]
A rational exponent is the same as a fractional exponent.
HELP NEEDED PLS HELP! THANK YOU Use the fundamental theorem of algebra to state all the possible roots of the function f(x)=2x^3+3x^2-4x-12 Can someone please show me how to do it
Answers
Answer:
x=2 (−∞,∞)
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
Hope this helps (sorry if it's confusing)
Answer:
x = 1.71282
Step-by-step explanation:
2x^3+3x^2-4x-12
2 x³ + 3 x² - 4x - 12 = 0
x = 1.71282
see attachment.
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
The answer is 3 mark as brainliest
Step-by-step explanation:
3 *3-4*4+2*5
9-16+10
9-6=
3
Answer:
Hey there!
3a-4b+2c
3(3)-4(4)+2(5)
9-16+10
3
Your answer would be 3.
Hope this helps :)
Need help finding the missing length to the attached triangle.
Answers
Answer:
65 units
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
[tex]h = \sqrt{144 \times 25} \\ h = 12 \times 5 \\ h = 60 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {25}^{2} \\ {x}^{2} = {60}^{2} + {25}^{2} \\ {x}^{2} = 3600 + 625 \\ {x}^{2} = 4225 \\ x = \sqrt{4225} \\ \huge \red{ \boxed{x = 65\: units }}[/tex]
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. H represents the height of the tree (in centimeters), t years since Renata moved in. H =210 + 33t How fast does the tree grow?
Answers
Answer:
The tree grows 33cm per year.
Step-by-step explanation:
Classify the following triangle. Check all that apply.
60
604
60°
A. Scalene
B. Right
O C. Acute
O D. Isosceles
E. Obtuse
F. Equilateral
Answers
Answer:
C. Acute
F. Equilateral
Step-by-step explanation:
Since all angles in the triangle are 60° (and less than 90°), it makes it an acute triangle.
Since all sides and angles are congruent to each other, respectively, we know that the triangle is equilateral.
Answer:
the actual answer is acute,equilateral,isosceles
explain the words and the connections of population ,area, urban,and density
Answers
Answer:
Step-by-step explanation:
In this sense "area" refers to a geographical area in which people may or may not live; any "population" refers to the group of people living in a specific area. We might discuss the "population" of the "Los Angeles area," which refers to people living within the geographic boundaries of the City of Los Angeles.
"Urban" characterizes a given area where the land is thickly settled with human residents (as opposed to open, commercial or rural land). Most of the area within the boundaries of "Los Angeles" are "urban."
"Density" refers to "population density," defined as the number of people per square mile (or other measure of area); as an example we might refer to the population density of the City of Los Angeles, and that reasure might be in the area of "246,000 residents per square mile."
Answer:
Search the words up on google and it will explain better then me
Step-by-step explanation:
A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?
Answers
Answer: 0.20
Step-by-step explanation:
As per given :
P(student enrolled in a math class ) = 65% = 0.65
P( student enrolled in a science class) = 43%= 0.43
P( student enrolled in both ) = 13% = 0.13
Formula of conditional probability :
[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]
Using the above formula,
The probability that the student is enrolled in a science class given that he is enrolled in maths class :
[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]
Hence, the probability that the student is also enrolled in a science class = 0.20 .
plzzzzz answer this question about density mass and volume!!!!!!!!!
Answers
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
In order for the data in the table to represent a linear
function with a rate of change of +5, what must be the
value of a?
O a = 3
O a = 8
O a = 18
O a = 33
Answers
The table to represent a linear function with a rate of change of +5
So, m = 13 + 5 = 18
a = 18
What is linear function?The slope-intercept pattern of the linear function equation. As a result, it is written as f(x) = mx + b, where m denotes the slope and b the line's y-intercept.
The graph in the table shows a linear function.
The linear function's general equation is written as y = ax+b, where a is the slope and b is a constant.
Finding the linear function's equation by using the first and third points from the table
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
13 = 3a+b → (1)
23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18
m= 18
Thus, option C is correct.
For more information about linear function, click here:
https://brainly.com/question/20286983
#SPJ7
is this right? someone please help :)
Answers
Answer:
it should be yes. if there are no values for A and C then yes the answer is correct.
Answer:
2a + 2c = b
Step-by-step explanation:
a = 1/2 b -c
Add c to each side
a+c = 1/2 b- c+c
a+c = 1/2 b
Multiply each side by 2
2( a+c) = 2 * 1/2 b
2a + 2c = b
Please help me! Find the value of x in each case:
Answers
x = 30
This answer makes a lot of use of supplementary angles. Because of it <GFE is 180 - 4x and <GEF is 180 - 2x. Then, because there are 180 degrees in a triangle you can determine that:
180 - 2x + 180 - 4x + x = 180
360 - 6x = 180
-6x = -180
x = 30
Hope it helps <3
Answer:
x =36
Step-by-step explanation:
The inside angle on the left is 180 -2x
The inside angle on the right is 180 -4x
The sum of the angles of a triangle is 180
180 -2x + x + 180 -4x = 180
Combine like terms
360 - 5x = 180
Subtract 360
-5x = -180
Divide by 5
x =36
Find the Surface Area
Answers
Answer:
120 km squared.
Step-by-step explanation:
The shape shown has 5 sides: three rectangles and 2 triangles.
If you examine each triangle closely, they are 3-4-5 triangles. The area of one triangle is 3 * 4 * 1/2 = 12 * 1/2 = 12 / 2 = 6. Since there are two triangles, the total area of the triangles is 6 * 2 = 12 km squared.
The three rectangles have the same length, but their widths differ. They all have a side length of 9 km, but the largest rectangle has a width of 5 km, the medium has a width of 4 km, and the smallest has a width of 3 km.
So, the rectangles' areas added up will be (9 * 5) + (9 * 4) + (9 * 3) = 45 + 36 + 27 = 108 km squared.
And so, the total surface area is 12 km squared + 108 km squared, or 120 km squared.
Hope this helps!
Jacob is painting the walls of his new tiny house. If 3⁄4 of a can of paint is enough to paint 1 / 8of the walls, how much paint does Jacob need to paint all of the walls?
Answers
Answer:
6 cans
Step-by-step explanation:
I used Improper Fractions to solve this question.
3/4 is enough to paint 1/8
Therefore we can multiply 3 by 8 to calculate how much paint is required for the whole wall.
3 * 8 = 24
24/4 = 6