Answer:
see below
Step-by-step explanation:
y= -3x+4
Let x = -4
y= -3(-4) +4 = 12 +4 = 16
Let x = -0
y= -3(0) +4 = 0 +4 = 4
Let x = 4
y= -3(4) +4 = -12 +4 = -8
Let x = 8
y= -3(8) +4 = -24 +4 = -20
see ss below
spam answers will be reported
Answer:
G = 9y
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
Identify
18y² = G(2y²)
Step 2: Solve for G
Option 1: Factor
Factor: 18y² = (2y²)(9y)Option 2: Isolate
Divide both sides by 2y² to isolate G: 18y³ / 2y² = GSimplify: G = 9yAnswer:
[tex]\boxed {\boxed {\sf G= 9y}}[/tex]
Step-by-step explanation:
We are given the following equation and asked to find the missing factor that makes the equality true.
[tex]18y^3=(G)(2y^2)[/tex]
Essentially, we need to solve for the variable G.
1. Factoring
One method we can use is factoring.
We could factor the expression 18y³ because we know one factor is 2y². Since this is one of the factors, the other must be 9y.
[tex]18y^3=(9y)(2y^2)[/tex]
If we compare this factored version of the expression with the original equation we see that 9y and G correspond, so they must be equal.
[tex]G=9y[/tex]
2. Solving
Another method we could use is solving.
We can solve the original equation for G by isolating the variable.
[tex]18y^3= (G)(2y^2)[/tex]
G is being multiplied by 2y³. The inverse of multiplication is division, so we divide both sides of the equation by 2y³.
[tex]\frac {18y^3}{2y^2}=\frac{(G)(2y^2)}{2y^2}[/tex]
[tex]\frac {18y^3}{2y^2}= G[/tex]
The coefficients are divided as usual and the exponents are subtracted.
[tex]9y= G[/tex]
Find the measure of the missing angle using the triangle angle sum theorm.
Answer:
20 degrees
Step-by-step explanation:
One angle is 70 degrees and the other is 90. Angles of a triangle add up to 180. 180 - 70 - 90 = 20. The final angle is 20 degrees.
150 = 8x + 6y
solve for X
Answer:
y=25
Step-by-step explanation:
150=8x+6y
150=8(0)+6y
150=6y
divided by 6 on both sides because what you do to one side you have to do to the other side.
then your left with y=25
Answer:
Simplifying
150 = 8x + 6y
Solving
150 = 8x + 6y
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
150 + -8x = 8x + -8x + 6y
Combine like terms: 8x + -8x = 0
150 + -8x = 0 + 6y
150 + -8x = 6y
Add '-150' to each side of the equation.
150 + -150 + -8x = -150 + 6y
Combine like terms: 150 + -150 = 0
0 + -8x = -150 + 6y
-8x = -150 + 6y
Divide each side by '-8'.
x = 18.75 + -0.75y
Simplifying
x = 18.75 + -0.75y
Step-by-step explanation:
How do I find this? Please help.
Answer:
a.) r = 60ft
b.) ball_distance = 68ft
Step-by-step explanation:
Use Pythagorean theorem:
(r^2) + (32ft)^2 = (r + 8ft)^2
r^2 + 1024sqft = r^2 + (16ft)×r + 64sqft
960sqft = r×(16ft)
(960sqft) / (16ft) = r
r = 60ft
Radius is green. Ball is 8ft further than green. 68ft.
Can someone help me with this math homework please!
Answer:
The terms have a common ratio of - 1.5
Step-by-step explanation:
4.8 - ( - 3.2 )
= 4.8 + 3.2
= 8
- 7.2 - 4.8
= - 12
Common difference is not same.
4.8 / - 3.2
= - 4.8 / 3.2
= ( - 4.8 / 16 ) / ( 3.2 / 16 )
= - 3 / 2
= - 1.5
- 7.2 / 4.8
= ( - 7.2 / 24 ) / ( 4.8 / 2.4 )
= - 3 / 2
= - 1.5
Common is ratio is same.
Answer,
The terms have a common ratio of - 1.5
find the value of 2/5 - 3
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
[tex]\sf{\dfrac{2}{5}-3 }[/tex] [tex]\sf{\dfrac{2-10}{5} }[/tex] [tex]\sf{\dfrac{-8}{5} }[/tex][tex]\sf{ }[/tex]
please help me with this !
Step-by-step explanation:
second option is the correct answer
what is the inverse of the function f(x) = 2x - 10
Answer:
1/2x+5
Step-by-step explanation:
y = 2x-10
Exchange x and y
x = 2y -10
Solve for y
x + 10 = 2y-10+10
x+10 = 2y
Divide by 2
x/2 + 10/2 = 2y/2
1/2x +5 = y
The inverse is 1/2x+5
Answer:
h(x) = 2x + 5
Step-by-step explanation:
To find the inverse, interchage the variables and solve for y
Graph the function f(x) = - squared x + 2
One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values:
When
x=0,f(x)=0
x=1,f(x)=1^2=1
x=2,f(x)=2^2=4
x=3,f(x)=3^2=9
x=4,f(x)=4^2=16
The same holds true for negative x-values to the left of the y-axis since a negative value squared is positive. For example,
x=−1,f(x)=(−1)2=1*−1=1
x=2,f(x)=(−2)2=−2*−2=4
The graph of f(x)=x^2 is called a "Parabola." It looks like this:
Jeanette wants to raise $3,200 in a marathon fundraiser. Her sponsers will donate
$35 for each (whole) kilometer she runs this summer.
The minimum amount Jeanette will have to run to reach her goal of $3, 200 is
kilometers.
Total amount she wants to raise = $3200
Amount she'll get for each kilometer = $35
So, number of kilometers she need to run
= Total amount she wants to raise/Amount she'll get for each kilometer
= $3200/$35
= 91.42....
Since her sponser is will donate only for whole kilometers she'll have to run 92 km.
Identify the transformations of the graph of f(x) = x3 that produce the graph of the given function
g(x). Then graph g(x) on the same coordinate plane as the graph of f(x) by applying the
transformations to the reference points (-1,-1),(0,0), and (1,1).
Answer:
Step-by-step explanation:
In the xv-plane, the line determined by the
points (2,k) and (k, 32) passes through the origin.
Which of the following could be the value of k ?
Answer:
8
Step-by-step explanation:
If the diagonal line passes through the origin, that means it is proportional. That means that for every point on the line y/x is constantly the same value. So we have k/2=32/k.
Cross multiply: k^2=64
Square root both sides: k=8
Which of the following is the equation of a line that passes through the point
(1.4) and is parallel to the x-axis?
A.x=1 B.y=4 C.x=4 D.y=1
Given:
A line passes through the point (1,4) and is parallel to the x-axis.
To find:
The equation of the line.
Solution:
If a line is parallel to x-axis, then the line is a horizontal line. We know that the slope of a horizontal line is always 0. So, the slope of the required line is 0.
The point-slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.
The slope of the required line is 0 and it passes through the point (1,4). So, the equation of the line is:
[tex]y-4=0(x-1)[/tex]
[tex]y-4=0[/tex]
[tex]y-4+4=0+4[/tex]
[tex]y=4[/tex]
The required equation is [tex]y=4[/tex].
Therefore, the correct option is B.
Identify the highest degree/order of the expression:
11x + 9x3-8y + 5
PLS HELP 10 POINTS!!!!
Answer:
3
Step-by-step explanation:
Assuming the question is 11x+9x³-8y+5, the highest degree on x is 3
if, it's just 11x+9*x*3-8y+5, then the degree is 1, which I don't think the equation you wanted to ask.
Answered by GAUTHMATH
Which of the following exponential functions represent the graph?
Answer:
dodndbdie9ejrnfudowp2ejdnsmwo2oeidndndoep
Given the following equation where A = Area of a rectangle and w = width of the rectangle, what value of 'w' would maximize the area?
A = LW
P = 2L+2W
P = 100
w should be 625 units
w should be 25 units
w should be 0 units
w should be 50 units
Answer:
the second option : w should be 25 units
Step-by-step explanation:
the area of the rectangle is length×width = L×W
the perimeter of a rectangle = 2L + 2W
now, we know that the perimeter is 100 units.
and we have to find the best length of W, that will then define L (to keep the 100 units of perimeter) and maximizes the area of the rectangle.
in other words, what is the maximum area of a rectangle with perimeter of 100 (and what are the corresponding side lengths)?
now, w = 625 is impossible. that side alone would be bigger than the whole perimeter.
W = 0 would render the whole rectangle to a flat line with L = 50 because of
100 = 2L + 2W = 2L + 0 = 2L
L = 50
and A = L×W = 50×0 = 0
an area of 0 is for sure not the largest possible area.
w = 50 would cause L = 0
100 = 2L + 2W = 2L + 2×50 = 2L + 100
0 = 2L
L = 0
and with L = 0 the same thing happens as with W = 0 : a flat line with 0 area.
so, the only remaining useful answer is W = 25
100 = 2L + 2W = 2L + 2×25 = 2L + 50
50 = 2L
L = 25
A = L×W = 25×25 = 625 units²
and indeed, the maximum area for a given perimeter is achieved by arranging the sides to create a square.
Find the value of x. Write your answer in simplest form. WILL MAKE BRAINLIEST
============================================
Explanation:
Since we have an isosceles right triangle, the the length of the hypotenuse (let's call it y) is equal to sqrt(2) times the leg length x.
In other words, [tex]y = x*\sqrt{2}[/tex]
If we replaced y with 3*sqrt(2), then we could say,
[tex]y = x*\sqrt{2}\\\\3\sqrt{2} = x*\sqrt{2}[/tex]
in which we can see that x = 3 must be the case. Or you could divide both sides of that last equation by sqrt(2) to find x = 3.
-------------------------
Another method:
We'll use the pythagorean theorem
[tex]a^2+b^2 = c^2\\\\x^2+x^2 = \left(3\sqrt{2}\right)^2\\\\2x^2 = 3^2*\left(\sqrt{2}\right)^2\\\\2x^2 = 9*2\\\\2x^2 = 18\\\\x^2 = 18/2\\\\x^2 = 9\\\\x = \sqrt{9}\\\\x = 3\\\\[/tex]
We get the same answer as before.
American airlines requires that total outside dimensions (length+width+height) of a checked bag not exceed 62 inches.Suppose you want to check a bag whose height is same as its width.What is the biggest volumn bag of this shape that you can check on an american flight
Answer:
The maximum volume is 35316.4 in^3.
Step-by-step explanation:
Length + width + height is less than equal to 62 inches
Height = width = W
Let the length is L .
[tex]L + W + W = 62 \\\\L= 62 - 2 W\\\\Volume, V = L W H\\\\V = (62 - 2 W)\times W \times W\\\\V = 62 W^2 - 2 W^3\\\\\frac{dV}{dW}=124 W - 6 W^2\\\\So, \frac{dV}{dW} =0\\\\124 = 6 W\\\\W = 20.67 inches[/tex]
So, the maximum volume is
[tex]V =124\times 20.67\times 20.67 - 2 \times 20.67^3\\\\V =52978.86 - 17662.46 = 35316.4 inch^3[/tex]
if x=4,y=2,z=1,p=3,q=0 then find value of 4qy ÷ 8px + yz
plz answer correctly
For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answer:
-1
Step-by-step explanation:
The only variable in this expression is y and it's coefficient, which is the number and it's sign before the term, is -1.
In the expression, 6 and 3 are constants. This is because they have a fixed value and they do not change.
However, the algebraic term y can have different values depending on the equation it is in and is thus known as a variable term.
Although the number '1' is not written, it is implied that the digit 1 (or in this case -1) is there. For example, instead of writing 1x, we can simply write x. The coefficient cannot be zero as if there is zero y, the y term would not exist in the first place.
x + 3x/2 = 35. Find x.
[tex]\large\sf \: x + \frac{3x}{2} = 35[/tex]
Find x
________________
[tex]\sf \: x + \frac{3x}{2} = 35 \\ \sf \: \frac{x}{1} + \frac{3x}{2} = 35 \: (take \: LCM \: = 2) \\ \sf \: \frac{2x}{2} + \frac{3x}{2} = 35 \\ \sf \: \frac{2x + 3x}{2} = 35 \\ \sf \: 2x + 3x = 35 \times 2 \\ \sf \: 5x = 70 \\ \sf \: x = \frac{70}{5} \\ \sf \: x = \boxed{ \underline{ 14}}[/tex]
_________________
Answer ⟶ [tex]\boxed{\bf{x= 14}}[/tex]
Tana-tanb/cotb-cota=tana*tanb
Answer:
cot is an inverse function or rival of tan:
[tex]{ \boxed{ \bf{ \cot( \theta) = \frac{1}{ \tan( \theta) } }}}[/tex]
Considering the question:
[tex]{ \tt{ \frac{ \tan( a) - \tan(b) }{ \cot(b) - \cot(a) } = \tan(a) . \tan(b) }} \\ \\ { \tt{ \tan(a) - \tan(b) = ( \tan(a). \tan(b) )( \cot(b) - \cot(a) ) }} \\ { \tt{ \tan(a) - \tan(b) = \tan(a) \cot(b) \tan(b) - \cot(a) \tan(a) \tan(b) }} \\ \\ { \tt{ \tan(a) - \tan(b) = \frac{ \tan(a) \tan(b) }{ \tan(b) } - \frac{ \tan(a) \tan(b) }{ \tan(a) } }} \\ \\ { \tt{ \tan(a) - \tan(b) = \tan(a) - \tan(b) }}[/tex]
#Hence L.H.S = R.H.S, equation is consistent.
last question. 50 points!
w=-1.5
w=2
Answer:
Solution given:
[tex]\sqrt{2w²-19w+31}+2=7-2w[/tex]
again
keep square root alone
[tex]\sqrt{2w²-19w+31}=7-2w-2[/tex]
solve subtraction of 7-2
[tex]\sqrt{2w²-19w+31}=5-2w[/tex]
Squaring on both side
[tex](\sqrt{2w²-19w+31})²=(5-2w)²[/tex]
2w²-19w+31=5²-2*5*2w+4w²
take terms one side
2w²-19w+31-25+20w-4w²=0
-2w²+w+6=0
2w²-w-6=0
doing middle term factorisation
2w²-(4-3)w-6=0
2w²-4w+3w-6=0
take common from each two term
2w(w-2)+3(w-2)=0
(w-2)(2w+3)=0
either
w=2
or
W=-3/2=-1.5
write a expression to represent 6 fewer then the quotient of 8 and a number
Answer:
8/x-6
Step-by-step explanation:
When it says a number fewer, that means to put it behind rather than in the front.
Hope this helps!!:)
Answer:
The expression to represent the phrase is 8/x - 6.
Trên đường tròn bán kính 25 cm, cung π 3 ( r a d ) có độ dài gần nhất với giá trị nào sau đây? A. 26,1 cm. B. 26,2 cm. C. 25,2 cm. D. 27,1 cm.
Câu trả lời:
26,2 cm
Giải thích từng bước:
Độ dài của một cung tính bằng radian được cho là:
L = θr
Ở đâu ; θ = góc trung tâm; r = Bán kính
θ = π / 3; r = 25cm
Độ dài của cung = π / 3 * 25
Chiều dài cung = 26,179938
Chiều dài cung = 26,2 cm
At the bulk food store, Jerry bought 200 g of mixed nuts that cost $2.50.
What is the price of 450 g of nuts show ur work pls lol
Given:
Cost of 200 g of mixed nuts = $2.50.
To find:
The price of 450 g of nuts.
Solution:
We have,
Cost of 200 g of mixed nuts = 2.50 dollars
Cost of 1 g of mixed nuts = [tex]\dfrac{2.50}{200}[/tex] dollars
Cost of 450 g of mixed nuts = [tex]\dfrac{2.50}{200}\times 450[/tex] dollars
= [tex]\dfrac{2.50}{4}\times 9[/tex] dollars
= [tex]5.625[/tex] dollars
Therefore, the price of 450 g of nuts is $5.625.
Will give brainiest
∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
see file attached
Answer:
QR=5.25 units
PR=5 units
PQ=6.25 units
Point A is the incenter of △PQR. Find each measure
Answer:
[tex]\angle ARU=40^{\circ}[/tex]
AU=20 units
[tex]m\angle QPA=35^{\circ}[/tex]
Step-by-step explanation:
We are given that
[tex]\angle ARQ=40^{\circ}[/tex]
AT=20 units
Point A is the incenter of triangle PQR.
Incenter is that point where three angle bisector of triangle meets.
AR is the bisector of angle R of triangle PQR.
Therefore, [tex]\angle ARQ=\angle ARU=40^{\circ}[/tex]
All right triangles are similar when two triangles are similar then the ratio of their corresponding sides are equal.
Right angled triangle ATP and Right triangle AUP are similar.
Therefore,
[tex]\frac{AT}{AU}=\frac{AP}{AP}=1[/tex]
[tex]\frac{20}{AU}=1[/tex]
[tex]AU=20[/tex]units
AP is the angle bisector of angle P of triangle PQR
[tex]\angle APQ=\angle APU[/tex]
[tex]3x+2=4x-9[/tex]
[tex]2+9=4x-3x[/tex]
[tex]x=11[/tex]
Using the value of angle x
[tex]\angle APQ=3x+2=3(11)+2[/tex]
[tex]\angle APQ=35^{\circ}[/tex]
Hence, the measure of angle QPA=35 degree
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.
Angle ARU = 40 degree
Length of AU = 20
Angle QPA = 35 degree
Here a figure is attached.
Since, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
So, AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Substituting value of x in angle 3x + 2
We get, ∠QPA = 3(11) + 2 = 35 degree
Learn more:
https://brainly.com/question/1620555
Find the interior angle sum for the following polygon
Answer:
140 degrees
Step-by-step explanation:
(n-2) times 180
9-2 times 180
7 times 180
1260
1260/9 = 140
Interior angle sum of the given regular polygon of 9 sides is 1260°.
A regular polygon is a closed figure where all sides are equal. Interior angles of a regular polygon are the angles formed between the edges of the polygon. The formula for calculating the sum of interior angles of a regular polygon = (n-2) * 180
where, n is the number of sides of a regular polygon.
Number of sides in the regular polygon = 9
n = 9
Sum of interior angle of the regular polygon =
(n-2) * 180 = (9-2) * 180 = 7 * 180 = 1260°
Learn more about polygon here
https://brainly.com/question/17756657
#SPJ2
Can someone help me with this math homework please!
Answer:
The answers are options A and C.
They are (-2,0) and (0,0).
Step-by-step explanation:
x-intercept
(-2,0) and (0,0)