Answer:
Step-by-step explanation:
How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
Lilly wants to buy a tablet that costs $88.00. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet? What is the proportion?
Answer:
22 dollars
Step-by-step explanation
If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.
does the equation have roots? if yes, find them.
x^2=32
Answer:
[tex]x=\pm 4\sqrt2[/tex]
Step-by-step explanation:
Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)
Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)
[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]
Solve the equation below 2(t+4)=7+5(t-4)
Answer:
t= 7
Step-by-step explanation:
2(t +4)= 7 +5(t -4)
Expand:
2t +2(4)= 7 +5t +5(-4)
2t +8= 7 +5t -20
2t +8= 5t -13
Bring constants to one side, t terms to the other:
5t -2t= 13 +8
Simplify:
3t= 21
Divide both sides by 3:
t= 21 ÷3
t= 7
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.
The Jupiter is 6.93 times farther from the Sun than Venus
The Saturn is 6.29 times farther from the Sun than Mars
Distance between the sun and Jupiter = 748.02 million km
Distance between the sun and venus = 108.01 million km
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01
Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93
Therefore, the Jupiter is 6.93 times farther from the Sun than Venus
Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km
Distance between the Sun and Mars = 235.66 million km
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66
Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29
Therefore, the Saturn is 6.29 times farther from the Sun than Mars
Learn more here: https://brainly.com/question/25729845
What operations are defined for these matrices?
The answer choices are M+N, N-Q, Q+L, M-P. Please help I really don’t know.
Step-by-step explanation:
if you are looking for the matrix or matrices then
L=2x2
p=2x2
q=2x1
m=4x2
n=4x2
This is cause the formula to get these is RxC or R=rows and C=columns
(i hope this is it, if not comment and lemme know)
What is meant by permutations ?
Answer:
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.
Answer:
Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.
Step-by-step explanation:
pre calc pls help me i really appreciate it
Answer:
[tex]a_{14} = 10496[/tex]
Step-by-step explanation:
A geometric sequence is of the form:
[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]
So the given values can be represent as:
[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]
So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.
[tex]a = \frac{-164}{r^{10}}[/tex]
Now replace [tex]a[/tex] in the first equation
[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]
You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.
[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]
For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.
[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]
After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.
[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]
A rectangular container of length 40cm and width 36cm was filled with 57600cm cubic of water.find the depth of the water in the container
Answer:
40
Step-by-step explanation:
Use the information given to enter an equation in standard form.
(−1, 1) and (0, 2) .
First find the slope:
m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1
Set up slope-intercept form:
y = 1·x +2
Now move x and y to the left and leave 2 on the right:
-x + y = 2
This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.
Answer:
Standard form: x - y = -2
Step-by-step explanation:
The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.
Given the two points, we must first solve for the value of the slope.
Let (x₁, y₁) = (-1, 1)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 1)/[0 - (-1)]
m = 1/(0 + 1) = 1
Therefore, the value of the slope, m = 1.
Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. The y-intercept is also the value of y when x = 0. One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:
y = mx + b
y = x + 2
Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:
y = x + 2
Subtract x from both sides:
- x + y = x - x + 2
-x + y = 2
Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:
(-1) (-x + y) = 2(-1)
x - y = -2 ⇒ This is the standard form where A = 1, B = -1, and C = -2
Tia types 66 words in 3 minutes. She wants to know how many words she can type in 5 and 10 minutes if she keeps the same rate. How many words does Tia type in 1 minute? how many did she type in five minutes
Answer: 5 mins 110 words10 mins 220 words.
Step-by-step explanation: Tia types 66/3 = 22 words per minute.
Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types
22 * 10 = 220 words. Hope this helps! lol!
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+146x+137
Answer:
470.1
Step-by-step explanation:
Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.
This is where the derivative=0
Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.
y=[tex]-16x^2+146x+137[/tex]
y'=[tex]-32x+146[/tex]=0
-32x+146=0
x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex
Now plug this back into the original equation to find the maximum height.
f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137
=[tex]\frac{-73^2}{16} +666.125+137[/tex]
=-333.0625+666.125+137
=470.0625
To the nearest tenth this is 470.1
Using the formula find the slope of a line with these two points (2,10) and (5,15).
Answer:
Step-by-step explanation:
[tex]\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}[/tex]
Answer:
slope = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5, 15 )
m = [tex]\frac{15-10}{5-2}[/tex] = [tex]\frac{5}{3}[/tex]
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in
6/7 = x/11 round to nearest tenth
Answer:
66/7 or 9.429 or 9 [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
6/7=x/11
Multiply by 11 to get x alone
Multiply (6/7) by 11 to get 9.42857143=x
The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.
Answer:
The shorter side is 6.
The perimeter is 26.4 inches.
The area is 43.2 inches[tex]^{2}[/tex]
Step-by-step explanation:
The ratio 5;6 and the given longer side is 7.2 in.
Since it is the longer side, the '6' in the ratio is 7.2 in.
Let x be the shorter side
5:6 = x : 7,2
Divide 7.2 to 6.
7.2 ÷ 6 = 1.2
Then multiply 1.2 to 5.
1.2 * 5 = 6
So the shorter side is 6.
L = 7.2
W = 6
Now to find the perimeter, let's use the formula
P = 2L + 2W
Let's put the values in the formula
P = 2(7.2) + 2(6)
P = 14. 4 + 12
P = 26.4
The perimeter is 26.4 inches
To find the area, let's use the formula
A = LW
A = (7.2)(6)
A = 43. 2 inches[tex]^{2}[/tex]
Answer:
shorter side= 6
p= 26.4
a= 43.2
Step-by-step explanation:
What is the solution of 2x-5(x-4)=-8+5x-12.
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A=1/2bh solve for h
there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?
Total number of people = 364
Number of people in 1 van = 12
Number of vans required = ?
Number of vans required = 364 / 12
= 30.33
But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.
=》Answer = option C. 31
______
RainbowSalt2222 ☔
PLEASE HELP!! PLEASE AND THANK YOU!
Answer:
50.05 feet
Step-by-step explanation:
The tower have 32.57 feet, and you can find it using the same method than I used in your other question
Now you find the length of the guy wire using the Pythagorean theorem:
38²+32.57² = guy wire²
2504.8 = guy wire²
guy wire = √2504.8
guy wire = 50.05 feet
2x⁴-6x²+3 divided by 2x-6
Step-by-step explanation:
answer is 552€₹%+×::!^*I HOPE ITS CORRESCTHELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
got ub the naswers is 5x+y==6
Step-by-step explanation:
5.6p-3=-9+2(p+7) in a five step equation.
Answer:
p=2
Step-by-step explanation:
6p-3=-9+2(p+7)
6p-3=-9+2p+14 Distributive Property
6p-3=2p+5 Combine like terms/ Simplify
+3 +3
━━━━━━
6p=2p+8 Addition Property of Equality
-2p -2p
━━━━━━
4p=8 Subtraction Property of Equality
━ ━
4 4
p=4 Division Property of Equality
In the given figure, PQ 11 RS, find the value of x.
Answer:
73 degrees
Step-by-step explanation:
Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.
So, now just subtract 50 from 123 to get x.
The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m
Answer:
1 I think can you make sure?
Help plzdlkkdkkdkdnnzkzkzkskskeme
Answer:
ofc 8 there are 8 post card ♦️
Answer:
222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
Step-by-step explanation:
22222222222222222222222222222222222222
_ please answer this question .
Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
This is the point-slope formula.⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
express the following as decimal. 25/1000
20/50
3/50
2/3
Answer:
[tex]\frac{25}{1000}[/tex] = 0.025
[tex]\frac{20}{50}[/tex] = 0.4
[tex]\frac{3}{50}[/tex] = 0.06
[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666
Hyung-Jin did an analysis of starting salaries of elementary school teachers in his area. He called three schools and was quoted the following salaries: \$28,300,\$27,000 , and $ 3,000, . What is the average salary in his area? Show your work.
Answer:
average - $19,333.33
Step-by-step explanation:
$28,300, $27,000 , and $ 3,000
total =58,000/3 = 19,333.33
Aby has a cell phone plan that charges $12 a month for the first 50 minutes and 5 cents for every minute after that. If she was charged $15.45 last month, how many minutes did she talk?
60
Step-by-step explanation: