Well, we're just simplifying the fraction.
(2x^2)(y/4).
(2yx^2)/4.
When powers of the same base are being divided, subtract. The numbers are just plain fractions. 6/3 = 2 and 4/16 = 1/4. x^4/x^2 = x^2 and y^2/y = y.
Edit:
2/4 is 1/2.
(yx^2)/2.
solve each system by substitution
1/2x+1/3y=6
x-y==2
Step-by-step explanation:
First, let's rewrite the equations.
1/2x + 1/3y =6
x - y = 2
The easiest system to use for substitution is the second one. Let's solve for X.
x - y = 2
add y to both sides!
x = 2 + y
Now that we know x = 2 + y we can use it to substitute in the first equation.
1/2(2 + y) +1/3y = 6
1 + 1/2y +1/3y = 6
5/6y = 5
y = 36/5
Question 2 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) = ?
f(x) = x2
w
g(x) =
Answer: it’s c
Step-by-step explanation:
Just took it and it’s correct
The equation of graph of the transformed function is g ( x ) = ( x + 4 )² - 3
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) = x²
Let the second function be g ( x )
Now , the vertex of the function is at A ( -4 , -3 )
When the function is shifted left by 4 units and down by 3 units , we get
g ( x ) = ( x + 4 )² - 3
Hence , the transformed function is g ( x ) = ( x + 4 )² - 3 and the graph is plotted
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If x is the price of an item and it is marked 20 % off during the sale, what is the sale price?
Answer:
The sale price is 80% of x or x*0.8.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
A pediatrician records the age (in months) and the height (in inches) of a baby over time and creates a scatter plot. Using the scatter plot, the pediatrician determines that the model that can be used to predict the baby's height is y=1.3x+18, where y is the height of the baby and x is the age of the baby. What does the 18 in the equation tell us? Need help plz i will make you the brilliants
A
The baby grows 1.8 inches per year.
B
The baby weighs 18 pounds when born.
C
The baby was 18 inches when born.
D
The baby grows 18 inches per year.
Answer:
Your answer would be C
Step-by-step explanation:
18 inches was the height of the baby when they were born since it isn't y which would be the current height of the baby now in months that tells me months have passed which includes x is the age of the baby in months.
A dog is leashed to a point in the center of a large yard, so the area the dog is able of to explore is circular. The leash is 20 feet long (radius). What is the area of the region the dog is able to explore?
Without calculating, will the product below be greater than, less than, or equal to 5/12
Answer:
i think it would be less than
Step-by-step explanation:
alguien que me ayude en esta
Answer:
[tex]a) 9x +18y \geq 0 \\9x \geq -18y \\x\geq -2y \\\sqrt {9(x+2y)}\\ 3\sqrt {x+2y} \\[/tex]
[tex]b) 3 \sqrt[3]{3*5^3a^9a} b^9 \\15a^3b^9 \sqrt[3]{3a}[/tex]
[tex]c)a\geq 0 \\1/2 \sqrt{2^2*3^2*3a^4a}b^9 \\1/2*2*3a^2\sqrt{3a}b^9 \\3a^2b^9 \sqrt{3a}[/tex]
[tex]d)mp\geq 0 \\3/5 \sqrt{5^2*5mn^6p^6p} \\3|n^3|p^3 \sqrt{5mp}[/tex]
[tex]e) n>0 \\6m 1/\sqrt{2^2*2n^4n} \\3|m|/n^2 1/\sqrt{2n}[/tex]
[tex]f) b\neq 0 \\a\neq 0 \\15/2 \sqrt[3]{x^2/2^3*2a^2b^3b} \\15/(4b) \sqrt[3]{x^2/2a^2b}[/tex]
Which of the following could be the number shown on the number line?
Answer:
I believe your answer would be C. square root of 67
Step-by-step explanation:
If 8 is the square root of 64 and the missing number is just over 8, square root of 72 would be too much and A. and D. would be too little. I do deeply apologize if this is incorrect.
What solid figure has two bases, but no lateral faces?
A.cone
B.cylinder
C.rectangular prism
D.triangular prism
Answer:
B - Cylinder
Step-by-step explanation:
It has 2 bases (one on top and one at the bottom)
And It has no lateral faces
Answer: cylinder
Step-by-step explanation:
hope this helps
The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?
Answer:
Step-by-step explanation:
so the question is asking about the time from 1500 feet to 1100 feet. How long did they fall, w/o a parachute. aka "freefall" so, at 1500 feet the jumper is really at time zero. so, plug in to the formula
1100 = -16[tex]x^{2}[/tex] +1500
( x represents seconds so i'll change it to t so we know it's time )
1100 = -16[tex]t^{2}[/tex] + 1500
now we can solve for t , to see how long the jumper falls
-400 = - 16[tex]t^{2}[/tex] ( subtracting 1500 from both sides of equation )
25 = [tex]t^{2}[/tex] ( dividing both sides by -16 )
oh.. look at how nice that turns out.. :)
[tex]\sqrt{25}[/tex] = t ( take the square root on both sides )
5 = t
the jumper fell for 5 seconds to get to 1100 feet
If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of
getting exactly 4 tails?
Answer:
9000
Step-by-step explanation:
9+648o30p
Answer:
1000
Step-by-step explanation:
it may not be right but i tried
What is the length of BC? Round to the nearest tenth
Answer:
9.9
use the special triangle formula or use cosine to find BC
What is the value of the expression {(23+7^2)}{2^{2}}
I t's a nd ur behaving this way caz 27th to you mind if u can get 8826th to use it's
Answer:
288
Step-by-step explanation:
{(23 + 7^2)(2^2)
{(23+49)(4)}
(23 x 4) + (49 x 4)
92 + 196
288
Denise bought 12 slices of cheese at he deli. The total weight of cheese she bought was 1/4 pound What is the weight of each slice of cheese?
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
5=4z-2-3z
5=z-2
5+2=z
7=z
z=7
HELP ASAP
Select the correct answer.
Select the simplification that accurately explains the following statement.
65.6g of sugar is needed to make 8 cakes. How much sugar is needed for 5 cakes?
Answer:
41 grams
Step-by-step explanation:
Ratios:
[tex]\frac{65.6}{8} =\frac{x}{5} \\\\8x=328\\x=41[/tex]
Set background
Clear frame
Open on a Jamboard
3. What is the value of x? Show your work!
X Х
(9x -13)°
(6x + 23)
10
Answer:
x =
Answer:
x = 12
Step-by-step explanation:
These are corresponding angles, so they're equal to each other:
9x - 13 = 6x + 23
9x - 6x = 23 + 13
3x = 36
x = 12
If the length of the longer leg in a 30°-60°-90° triangle is 5V3, what is the length of the shorter leg?
A. 3
B. 5
C. 5v2
D. 10
Answer:
B. 5
Step-by-step explanation:
Let x = length of shorter leg
longer leg = [tex]\sqrt{3}[/tex] times the shorter leg
5[tex]\sqrt{3}[/tex] = x[tex]\sqrt{3}[/tex]
x = 5
Find the volume of the cone.
please help me!! 8th grade math, Pythagorean Theorem
Answer:
Step-by-step explanation:
-To find the incline do:6^2+14^2=x^2
Than whatever your 6 and 14 equal, find the square root of it
helpppp helping my sister
Answer:
i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie
Step-by-step explanation:
10% of ___ =5 ples help
Answer:
50
Step-by-step explanation:
Of the marbles in a bag, 5 are blue, 2 are white, and 2 are yellow. Sandra will randomly choose one marble from the bag.
Answer:
[tex]\dfrac{2}{9}[/tex]
Step-by-step explanation:
Given that,
A bag contains 5 blue, 2 white and 2 yellow marbles.
We need to find the probability of choosing a white marble from the bag.
Total no. of outcomes = 5+2+2
= 9
No. of white marbles = 2
Required probability,
[tex]P=\dfrac{2}{9}[/tex]
So, the probability of choosing a white marble is equal to [tex]\dfrac{2}{9}[/tex].
In circle o,find the value of x, rounded to the nearest tenth.
Answer:
[tex]\huge\boxed{x \approx 5.4}[/tex]
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
in 3/4 of an hour Ryan codes 3/5 of his game. at this rate how much of the game can he code in 1 hour
Answer:
In one hour, he can code 4/5, 80%, of the game.
Step-by-step explanation:
If he can code 3/5 of his game in 3/4 hour, 60% in 45 minutes, he can code 20% every 15 minutes.
A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.
equiangular equilateral
acute right
acute scalene
acute isosceles
Answer:
acute scalene
Step-by-step explanation:
Hope it helps you in your learning process.
The triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a statement:
A triangle with no sides congruent and all angles less than 90° is called a __________ triangle.
As we know, an acute scalene triangle is a triangle with no congruent sides and all angles smaller than 90 degrees.
Also,
A scalene triangle is one in which each side has a different measure.An isosceles triangle is one in which all sides are equal.An equilateral triangle is one in which all of its sides are equal.Thus, the triangle with no sides congruent and all angles less than 90° is called an acute scalene triangle option (C) is correct.
Learn more about the triangle here:
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The expression (n^14)(n^3) is equivalent to n^x
What is the value of x
Answer:
17
Step-by-step explanation:
add the exponents
HELP ASAP!!!
Two random samples were taken to determine how often people in a community listen to the local radio station each month.
The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.
The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.
Which statements are true? Check all that apply.
The second sample is random.
The second sample is likely to be more representative of the population.
The first sample is likely to be more representative of the population.
The second sample will give a better representation because is it larger.
The first sample will give a better representation because it is smaller.
Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Answer:
The answers to this question are 1,2,4,6. Hope this helps you
Step-by-step explanation:
Amare drops a probe into a lake. The elevation of the probe changes
by - 13 feet every second. The probe takes 50 seconds to reach
the bottom of the lake. How deep is the lake? Show your work .
Answer:
13 x 50 = 650
Step-by-step explanation:
Answer:
75 ft
Step-by-step explanation: