Answer:
4 7/8, 4 2/3, 4 1/6, 3 11/12
Step-by-step explanation:
To make it easier, convert it into decimals
4 2/3=4.666...
3 11/12=3.9166...
4 1/6=4.166...
4 7/8=4.875
what are the solutions to x^2=16x-28
Answer:
x=14
Step-by-step explanation:
Answer:
x=14
Step-by-step explanation:
Step-1 :
Multiply the coefficient of the first term by the constant 1 • 28 = 28
Step-2 :Find two factors of 28 whose sum equals the coefficient of the middle term, which is -16 .
-28 + -1 = -29
-14 + -2 = -16
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -2
x2 - 14x - 2x - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-14)
Add up the last 2 terms, pulling out common factors :
2 • (x-14)
Step-5 : Add up the four terms of step 4 :
(x-2) • (x-14)
Answer:
x=14
on a piece of paper graph y+2> -3x-3
Answer:
D
Step-by-step explanation:
BRAINLIEST PLS
Find the slope of the line containing the points (10,400) and (50, 900). Write your answer as a simplified fraction
Answer: 25
2
Step-by-step explanation:
900 - 400 = 500 = 25
50 - 10 = 40= 2
Find the matrices of the following linear transformations
from R3 to R3.
The orthogonal projection onto the xy-plaNE: (3X3)...
The reflection in the z-axis:(3X3)
Answer:
The matrixes are in the explanation box.
1. A mapping of (x,y,z) to (x,y,0)
2. Is a mapping of (x,y,z) to (-x,-y,z)
Step-by-step explanation:
We have the orthogonal projection onto the cy-plane to be a mapping of (x,y,z) to (x,y,0). Then we will have a transformation matrix that has the form below.
[1 0 0]
[0 1 0]
[0 0 1]
For the reflection in the z-axis,it is a reflection of (x,y,z) to (-x,-y,z). Our matrix will then have the form below
[-1 0 0]
[0 -1 0]
[0 0 1]
The matrix that projects into the XY plane is:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&0\end{array}\right][/tex]
The matrix that reflects in the z-axis is:
[tex]\left[\begin{array}{ccc}-1&0&0\\0&-1&0\\0&0&1\end{array}\right][/tex]
How to find the transformations?
First, we want to find the transformation that goes from (x, y, z) to (x, y, 0).
Remember that:
[tex](x, y, z)*\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] = (x, y, z)[/tex]
That matrix is the identity matrix.
Then, if we want to remove the z component, then we just need to make the last row-column equal to zero, we will get:
[tex](x, y, z)*\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&0\end{array}\right] = (x, y, 0)[/tex]
Now we want to make a reflection over the z-axis, this is a rotation of 180° around the z-axis, so it changes the sign of the x and y components:
(x, y, z) to (-x, -y, z)
From this, we conclude that the matrix will be:
[tex](x, y, z)*\left[\begin{array}{ccc}-1&0&0\\0&-1&0\\0&0&1\end{array}\right] = (-x, -y, z)[/tex]
If you want to learn more about matrices, you can read:
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find the range of f(x) = -2x+6 for the domain {-1,3,7,9} HELLPPP!
Answer:
Range: {-12, -8, 0, 8}
Step-by-step explanation:
To find the range of [tex] f(x) = -2x + 6 [/tex], plug in the value of each domain into the equation of the function to get the corresponding range value.
Given that the domain is {-1,3,7,9}, therefore:
✅[tex] f(-1) = -2(-1) + 6 = 2 + 6 [/tex]
[tex] f(-1) = 8 [/tex]
✅[tex] f(3) = -2(3) + 6 = -6 + 6 [/tex]
[tex] f(3) = 0 [/tex]
✅[tex] f(7) = -2(7) + 6 = -14 + 6 [/tex]
[tex] f(7) = -8 [/tex]
✅[tex] f(9) = -2(9) + 6 = -18 + 6 [/tex]
[tex] f(9) = -12 [/tex]
Range would be: {-12, -8, 0, 8}
At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each.
Answer:
30.5
Step-by-step explanation:
hope that helps
Answer: 5 pizzas and 17 sodas were bought
Step-by-step explanation:
I don't have answers for a or b but I have them for c.
Number of pizzas
9.50n+1.25(3n+2)=68.75
9.50+3.75n+2.50=68.75
combine like terms
13.25+2.5= 68.75
subtract from both sides
13.25=68.75-2.5
13.35=66.25
Divide
n=5
Number of sodas
3n+2=3(5)+2=15+2=17
Do You Know How?
In 2-5, estimate. Then, tell if your
estimate is an overestimate or
underestimate.
2. 29 X 688
3. 210 X 733
4. 43 X 108
5. 380 X 690
Answer:
2. 30 × 700 = 21,000 Over
3. 200 × 700 = 140,000 under
4. 40 × 100 = 4,000 under
5. 400 × 700 = 280,000 over
I need the missing length help (10 points )
Answer:
5.38516480713
Step-by-step explanation:
a^2+b^2=c^2
5^2+2^2=c^2
25+4=c^2
c^2=square root of 29
c=5.38516480713
What is the square root of 153 divided by 13
plz help me fast
Answer:
About 0.95
Step-by-step explanation:
Answer:
0.9514859136
Step-by-step explanation: I use calculator lol
There are 324 stitches sewn on 3 basketballs. Which equation finds the number of stitches, n, sewn on 1 basketball?
Answer: 108 stitches sewn on 1 basket ball
Step-by-step explanation:
324 divided by 3 would give you 108
Answer:
324/3=16
Step-by-step explanation:
324 divided by 3= 16
Gianna and Victor both think they are the fastest texter! Gianna types 168 words in
4 minutes. Victor types 246 words in 6 minutes. Who is the REAL "fastest texter?"
Please help me
Answer:
Gianna is the faster texter. She types 42 wpm, while Victor types 41 wpm.
Step-by-step explanation:
Calculate the unit rates. Time is usually on the bottom. For example, to calculate how many words Gianna types in a minute, use the expression 168/4.
Answer:
Gianna is the faster texter
Step-by-step explanation:
168/4 = 42 wpm for Gianna
246/6 = 41 wpm for Victor
Brainliest to the right answer!
Answer: 5 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Its D
(10 points)determine which one is an right angle
Answer:
Number 7.
since it makes an L shape, and has a 90° angle
For a particular clothing store, a marketing firm finds that 16% of $10-off coupons delivered by mail are redeemed. Suppose six customers are randomly selected and are mailed $10-off coupons. What is the expected number of coupons that will be redeemed?
The expected number of coupons that will be redeemed is 0.96.
Given data:
To find the expected number of coupons that will be redeemed, multiply the probability of redemption for a single coupon by the number of coupons distributed.
Given that 16% of $10-off coupons delivered by mail are redeemed, the probability of redemption for a single coupon is 0.16.
Since six customers are randomly selected and mailed coupons, the number of coupons distributed is 6.
Therefore, the expected number of coupons that will be redeemed is:
Expected number of redeemed coupons = Probability of redemption * Number of coupons distributed
= 0.16 * 6
= 0.96
Hence, the expected number of coupons is 0.96.
To learn more about probability, refer:
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How do you find the original price of an item, given the tax percent and the final cost ?
At Mr. Mcneely's farm there were 75 sheep in 60 cows what is the ratio of the number of cows to the number of sheep at Mr. Mcneilly farm
Answer:
5/4
Step-by-step explanation:
Here’s a graph of a linear function. Write the equation that describes that function
Express it in slope intercept form.
PLS HELP ITS DUE TODAY!! I WILL MARK U BRAINLIEST
Answer:
[tex]y = \frac{1}{2}x + 3[/tex]
Select the correct answer from each drop-down menu.
Consider these functions:
For x ≥ 0, the value of f(g(x)) is __
For x ≥ 0, the value of g(f(x)) is __
For x ≥ 0, functions f and g __ inverse functions.
Choices:
1. x,4x,8x
2. x,4x,8x
3. are, are not
Answer:
x
x
are
Step-by-step explanation:
For x ≥ 0, the value of f(g(x)) is x,For x ≥ 0, the value of g(f(x)) will be x and functions f and g are inverse functions.Option a from all the choices is corect.
What is a function?A connection between independent variables and the dependent variable.is defined by the function.
Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.
The relation between them is shown as y if dependent and x is the independent variable;
Given function;
f(x) = 16x²
g(x)=(1/4)√x
For x ≥ 0, the value of f(g(x)) is found as;
f(x) = 16x²
[tex]\rm f(g(x)) = 16 (\frac{1}{4} \sqrt x) ^2\\\\ f(g(x)) =\frac{16}{16} x\\\\ f(g(x)) = x[/tex]
For x ≥ 0, the value of g(f(x)) is
g(x)=(1/4)√x
[tex]\rm g(x)=\frac{1}{4}\sqrt x \\\\ g(x ) = \frac{1}{4} \times \sqrt{16 \ x^2}\\\\ g(x) = \frac{4}{4} x \\\\ g(x) = x[/tex]
For x ≥ 0, functions f and g are inverse functions
Let,
y=F(X)
If,
y= 16x²
x=16y²
y² = x/16
y=(1/4)√x
Hence,For x ≥ 0, the value of f(g(x)),For x ≥ 0, the value of g(f(x)) will be x and x respectively.and For x ≥ 0, functions f and g are inverse functions.
Hence, option a from all the choices is corect.
To learn more about the function refer to the link https://brainly.com/question/12431044.
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3. What is the distance between the points (4, 5) and (-3, 5)?
1 units
7 units
10 units
8 units
Answer:
The actual answer is 7 units.
Step-by-step explanation:
Distance between two bodies=
root under[(x2-x1)^2+(y2-y1)^2]
=root under[(-3-4)^2+(5-5)^2]
= root under (49)
=7 units.
Lock #1 Answer the question below to UNLOCK the next room. (TYPE THE WORD: ALL
CAPS)
LOCK #1
Answer the question below to UNLOCK the
next room. (TYPE THE WORD; ALL
CAPS)
What is the coefficient in front of a variable
by itself?
Your answer
O Try Again!
Answer:
UNLOCK
UNLOCK
A normal number
Answer:The answer is ONE
Step-by-step explanation:
Solve Algebraically 2^3-x=565
x = 3 − log 565/ log 2 = − 6.142107057
Step-by-step explanation:
2^3-x =565
Log 2^3-x = log 565
(3-x) times log 2 = log 565
3 − x = log 565 / log 2
3 − log 565 / log 2 = x
x = 3 − log 565/ log 2 = − 6.142107057
Answer:
x = -557
Step-by-step explanation:
2^3 is 2x2x2 which equals 8. 8 - x = 565. Move the constant to the right-hand side and change its sign. -x = 565 - 8. This is 557. Now change the negative sign on the x to a positive and the positive sign on the 557 to a negative. x= -557.
Brainliest to right answer
Answer:
The answer is 15.
Step-by-step explanation:
Selena bought a TV for her bedroom. The original price was $299.99, but she bought it on sale for 30% off. Selena also paid 15% tax. How much money did she spend on the TV?
I know the sum of positive and negative numbers will be positive when
I know the sum of positive and negative numbers will be negative when
ANSWER BOTH QUICK
Answer:
When the positive number is greater than the negative number
Step-by-step explanation:
-6 + 7 =1 because -6 + 6 + 0 then you add 1.
Answer:
1. there are to negatives or two positives
2. there is one positive and one negative
I’m rly confused pls help
Answer:
A
Step-by-step explanation:
12x 5/2= 60/2= 30
3x5/2=15/2=7.5
7.5 by 30
What number has the same absolute value as 34?
It can't be 34
Answer:
The only two values that have the same absolute value of 34, is +34 and -34.
Step-by-step explanation:
Can someone tell me if 180 is correct????
Answer:
Yes, you are correct.
Step-by-step explanation:
Feel free to give brainliest.
Have an amazing day!
The classroom has 12 9/10 meters of tape in one area of the building, and 8 3/5 meters of tape in another part. How much tape does the classroom have in all
Answer: 32
Step-by-step explanation: 45wheeej5t
Answer: 21 1/2
Step-by-step explanation:
12 9/10 + 8 3/5 = 21 1/2
hope this helps!
solve his problem for X and Y
Answer:
y = 5, 3; x = 171, 155
Step-by-step explanation:
8y - 15 = y^2
y^2-8y+15=0
y^2-3y-5y+15=0
y(y-3)-5(y-3)=0
(y-5)(y-3)=0
y can be 5 or 3.
x = 180 - (8y - 15)
x = 180 - (8(3)-15)
x = 180 - 9
x = 171
OR
x = 180 - (8(5) - 15)
x = 180 - 25
x = 155
Mark makes a 4.5% commission on all electronics at RC Willey's how much did he make
this month by selling $8,000 in electronics?