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[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the equation of the line that passes through (-3, 6) and has a slope of -2?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
First, we need to write the equation of the line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with 6, m with -2, and x1 with -3:-
[tex]\sf{y-6=-2(x-(-3)}[/tex]
On simplification,
[tex]\sf{y-6=-2(x+3)}[/tex]
On further simplification,
[tex]\sf{y-6=-2x-6}[/tex]
Add 6 on both sides:-
[tex]\it{y=-2x}[/tex]
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
PLEASE HELP ASAP!!!
(k12 students appreciated!!)
What are the zeros of the function?
ƒ(x)= x^3+x^2-6x
Answer: x = 0, x = -3, x = 2
Step-by-step explanation:
f(x) = x^3 + x^2 - 6x
f(x) = 0
x^3 + x^2 - 6x = 0
x(x^2 + x - 6) = 0
x = 0 or
x^2 + x - 6 = 0
D = b^2 - 4ac = 1 - 4*(-6) = 25
x = (-b - sqrt(D))/(2a) = (-1 - 5)/2 = -3 or
x = (-b + sqrt(D))/(2a) = (-1 + 5)/2 = 2
Can someone say the answer to this question with steps?
¬
Answer:
729
Step-by-step explanation:
Write the inverse of the function: f (x) = 2x+3
Answer:
[tex]y = \frac{x - 3}{2}[/tex]
Step-by-step explanation:
To find the inverse of a function, simply 'switch' the x and y's and solve for y. [tex]y = 2x + 3[/tex] becomes [tex]x = 2y + 3[/tex]. Now, solving for y, we get [tex]y = \frac{x - 3}{2}[/tex].
hope this helped! :)
Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE
Answer:
Step-by-step explanation:
What is the range of the function represented by this graph?
Answer:
The range of the function given in the graph is the values of all y for any input x.
Therefore, as shown in the graph the value of y for any input of x is below y = 1. Therefore, the range is y <= 1
What is the volume of this sphere?
Use A 2 3.14 and round your answer to the nearest hundredth.
Answer:
hope this will help you ( ◜‿◝ )♡
Step-by-step explanation:
[tex]volume = \frac{4}{3} \times \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times ( {10}^{3} ) \\ = 4186.666mm {}^{3} [/tex]
[tex]\large\boxed{\bold{Formula:V= \frac{4}{3}\pi{r}^{3}}}[/tex]
[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]
In this question the radius is given so we'll simply have to substitute and solve.
Let's solve!
Instead of π we are asked to use 3.14
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times 3.14 \times {10}^{3}[/tex]
Calculator value:
[tex]\bold{V= 4186.666667 \: {mm}^{3}}[/tex]
Now, we have to round off to the nearest hundredth.
The value in the thousandths place is greater than 5 so we'll have to round up by adding 1 to the hundredths place.
Final answer:
[tex]\large\boxed{\bold{V= 4186.67 \: {mm}^{3}}}[/tex]
Hence, the volume of the given sphere is 4186.67 cubic millimeters.
Examine the ordered pairs in this function.
(4.7). (-3,8). (11,14), (12.-6), (1, 10)
Which numbers are output values of the function?
Answer:
Then numbers 7 , 8 , 14 , -6 , 10 are output values of the function
PLEASE HELP ASAP !!
A particle moves in a a straight line along the x-axis. Its displacement (distance from 0 along the x-axis) is given by the following equation: f(t) = 3(t)^4 - 5(t)^3 + 6(t) - 7; t >= 0, where t is measured in seconds and f is measured in meters. Find the velocity of the function after 2 seconds.
The velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s
What is velocity?Velocity is defined as the ratio of the distance moved by the object in a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.
Here we have a displacement function:-
F(t)=3t⁴-5t³+6t-7
So to find out the velocity we will differentiate the above equation with respect to t.
d(F(t)/dt=12t³-15t²+6
V=12t³-15t²+6
Put the value of t=2 seconds
V=12x(2x2x2)-15x(2x2)+6
V=42 meters per second
Hence the velocity of a particle when it moves on a straight line along the x-axis will be V= 42 m/s
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Graph the following system of inequalities.
y≤ 2c + 1
y<-x-1
For equation 1:
y ≤ 2c + 1y intercept = (0, 1)
x intercept = (-0.5, 0)
Graph Plotted Below the LineFor equation 2:
y < -x -1y intercept = (0, -1)
x intercept = (-1, 0)
Graph Plotted Below the LineOption B is correct
A printer can print 12 pages in 9 seconds. What is the closest estimate of the
number of pages it can print in one minute?
120
100
45
72
Answer:
72 is the closest.The printer will primt 80 pages in one minute
Answer:
72
Step-by-step explanation:
12 pgs in 9 sec
*[tex]\frac{20}{3}[/tex] *[tex]\frac{20}{3}[/tex]
≈80 pgs in 60 sec
Hope this helps!!!
Please mark me as brainliest!!!
If x = 3 and y = -2, find 4xy.
-20
24
-24
20
Answer:
4(3)(-2) = -24
Answer:
C) -24
Step-by-step explanation:
Given the expression: 4xy
x = 3y = -2Substitute the values above for the variables and multiply:
4(3)(-2)
12(-2)
-24
Final answer: -24
Hope this helps!
Consider the following trapezoid.
Find the value of X.
Answer:
106º
Step-by-step explanation:
Because both the base angles are 74º. The known angles so far are 148º.
The top angles also have to be equal as they are on parallel lines so:
360 - 148 = 212º
212 / 2 = 106º
Answer:
x = 106 degrees
Step-by-step explanation:
74 plus 74 = 148
360 is the interior angle sum of all trapezoids
360-148=212
212 is the sum of both x and y
x and y are the same measure.
212/2 = 106
#95 will give brainliest to best answer!
Answer:
3/10
Step-by-step explanation:
The probability of drawing a blue card first is 3/5 (3 blue cards out of a total of 5 cards). Then the probability of drawing a blue card again will be 2/4 (the blue card you drew first is removed so there are only 2 blue cards and 4 total cards). Now we multiply the probabilities together to get the probability of drawing a blue card, not replacing it, and then drawing another blue card = (3/5)(2/4) = 6/20 = 3/10.
Hope this helps! :)
Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r
Answer:
9 weeksStep-by-step explanation:
Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r
(100 - 37) : 7 =
63 : 7 = 9
check
37 + 9 * 7 = 100
the answer is good
Diego has purchased a $159000 home with a 30-year mortgage at 5.05%. He can make a monthly payment if $1300. If he were to make this each month, how long will it take him to pay off his mortgage?
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It will take 308 months for Diego to pay the complete loan.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = P×T×R
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The interest that will be charged on the principal amount is,
SI = $159,000×30×0.0505 = 240,885
Now, the total amount that Diego needs to pay is the sum of interest and principal, therefore,
Total amount = $159,000 + $240,885 = $399,885
Further, since each month Diego is paying $1300, therefore, the number of months it will take to pay the complete loan is,
Number of months = $399,885/$1300 = 307.6 ≈ 308
Hence, it will take 308 months for Diego to pay the complete loan.
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If you help me you have a special place in my heart forever I swear .
Answer:
x = 9
y = 116
Step-by-step explanation:
116 and y are vertically opposite angles.
Vertically opposite angles are equal.
So,
y = 116
116 and ( 13x - 53 ) are linear pair angles.
Sum of linear pair angles is 180,
13x - 53 + 116 = 180
13x + 63 = 180
Subtract 63 on both sides,
13x = 180 - 63
13x = 117
Divide 13 on both the sides,
x = 117 / 13
x = 9
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Answer:
20%
Step-by-step explanation:
Given/To Find:
A $52.50 screen door is on
sale for $42. Find the percent
of discount on the door.
Solve:
Formula: Value 1 - Value 2 ÷ Original Value × 100
Hence we have:
52.50 - 42 = 10.5
10.5 ÷ 52.50 = 0.20
0.20 × 100
=20%
Check Answer:
52.50 × 20% = 10.5
52.50 - 10.5 = 42
Hence, the percent of discount on the door is 20%
Kavinsky
There are 62 students in a PE class. They need to be put into teams of 9. How many full teams can be made?
6 full teams will be made.
If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.
please solve this for me ASAP
The correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.
What is a thermoelectric generator?Thermoelectric generators are semiconductor solid-state devices that convert a temperature difference and heat flow into a usable DC power source.
The Seebeck effect is used to create voltage in thermoelectric generator semiconductor devices. This voltage is used to drive electrical current and generate usable power at a load.
From the statement given, it is a thermoelectric generator because a thermoelectric power generator transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.
Thus, the correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.
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what is the area of a cylinder
A cylinder's volume is =
π r² h,
and its surface area is =
2π r h + 2π r².
what is the slope this? please help thanks
Answer: the area of the X???
Step-by-step explanation:
the slope is 1/4
because it goes across by 4 and up by 1
see attached image.
Answer:
whats the question?
Step-by-step explanation:
y=-2x+8
y=x-7
solved by graphing
Answer:
See the attached graph
Step-by-step explanation:
The solution is the labelled point of intersection in the graph
Ships arriving in U.S. ports are inspected by Customs officials for contaminated cargo. Assume, for a certain port, 20% of the ships arriving in the previous year contained cargo that was contaminated. A random selection of 50 ships in the current year included 5 that had contaminated cargo. Does the data suggest that the proportion of ships arriving in the port with contaminated cargoes has decreased in the current year
The value of the np is 10, and the value of the nq is 40 which is less than 5 also the hypothesis H0: p = 0.20 versus H1: p<0.20
What are the null hypothesis and alternative hypothesis?The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.
We have:
n = 50
p = 20% = 0.02
q = 1-p = 1- 0.02 = 0.08
[tex]\rm n_p = 50 \times 0.20 = 10\\\\\rm n_q = 50\times 0.80 = 40[/tex]
[tex]\rm n_q > 5\\\\\rm n_p > 5[/tex]
The conditions are verified for this test.
Null hypothesis H0: The number of ships arriving in ports with hazardous cargoes has remained constant.
Alternative hypothesis H1: The number of ships arriving in port with polluted goods has dropped.
H0: p = 0.20 versus H1: p<0.20
Thus, the value of the np is 10, and the value of the nq is 40 which is less than 5 also the hypothesis H0: p = 0.20 versus H1: p<0.20
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Which transformations would result in the image shown?
ABCD is reflected over both axes.
ABCD is translated right 4 units and down 3 units.
ABCD is reflected over the x-axis and translated right 4 units.
ABCD is reflected over the y-axis and translated down 3 units.
Best answer gets brainliest!
Answer:
the answer is reflected over both axes hope this helped
Can someone help me with this please
A circle is centered at (−4, 9) and has a radius of 11.
What is the equation of the circle?
Answer:
(x +4)² +(y -9)² = 121
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
__
We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...
(x -(-4))² +(y -9)² = 11²
We can simplify this a bit to ...
(x +4)² +(y -9)² = 121
4. explain why cos (-3pi/4) = cos (5pi/4)
Step-by-step explanation:
Rearrange the equations to solve.
cos(-3 • pi) = -1
cos((-3pi) / 4 radians) = -0.707
cos(5 • pi) = -1
cos((5pi) / 4 radians) = -0.707
They are the same because when multiplied, they are the same value, and always will be that way. They also have the same identity if you simplify and compare the results of that equation.
The value of cos (-3π/4) and the value of cos (5π/4) are same.
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
We know that,
cos (-3π/4) = cos (3π/4)
Now,
cos (3π/4) = cos (π + π/4)
And,
cos (5π/4) = cos (π - π/4)
Now, we know that,
cos (π + x) = -cos (x) and cos (π - x) = -cos (x)
So the value of cos (π + π/4) = -cos( π/4) and cos (π - π/4) = -cos( π/4)
Hence cos (3π/4) = cos (5π/4) = -cos( π/4)
Hence both the values are same.
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What is the scale factor of the dilation of triangle def? three-tenths three-sevenths seven-thirds 7
The scale factor of the dilation of triangle def is three-tenths i.e. 3/10
How to determine the scale factor of dilation?From the complete question, the corresponding sides are:
DE = 10
D'E' = 3
The scale factor k is then calculated using"
DE * k = D'E'
So, we have:
10* k = 3
Divide both sides by 10
k = 3/10
Hence, the scale factor of the dilation of triangle def is three-tenths i.e. 3/10
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Answer: 3/10
Step-by-step explanation:
how do you find surface area of a rectangular prism
Answer:
To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.