a) Factor 9x² + y² + z² - 6xy + 2yz - 6xz
This looks a lot like
(x+y+z)² = x² + y² + z²+ 2xy + 2yz + 2xz
except instead of x there's (-3x). So this must be
(-3x+y+z)² = (-3x)² + y² + z² + 2((-3x)y + (-3x)z + yz)
= 9x² + y² + z² - 6xy + 2yz - 6xz
Looks good.
Answer: (-3x+y+z)²
Since it's a square we could also negate the inside and write this (3x-y-z)²
b) I'll guess that says we want to evaluate this when x=1, y=2, z= -1
(-3(1) + 2 -1)² = (-2)² = 4
Answer: 4
Dose anyone know what is coefficient too -7yz2?
Answer:
-7
Step-by-step explanation:
Coefficients are the numbers that multiply the following variables, so in the case of -7yz^2, the coefficient would have to be -7.
First to answer gets brainliest Find the height of a Square Pyramid whose Volume = 873.13m3 and side length = 12.6m Round to the nearest tenth.
Answer:
[tex]16.5m[/tex]
Step-by-step explanation:
[tex]h=3\frac{V}{a^2} \\=3*\frac{873.13}{12.6}\\ =16.5m[/tex]
Which of the following is most likely the next step in the series?
Answer:
it's D
Step-by-step explanation:
Please hurry
Which quadratic function has a vertex of (1, 4) and passes through
the point (0, 3)?
Answer:
f(x)=−(x−1)^2+4
Step-by-step explanation:
Renee can see a 25 square foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to see the quilt together?
28 hours because they are too long from each other
Answer:
Approximately 6.86 hours.
Step-by-step explanation:
Renee sews at a rate of 1.5625 sq ft an hour. Found using square feet divided by hours.
Genera sews at a rate of 2.084 sq ft an hour. Found using square feet divided by hours.
To find how fast they can sew the quilt together, we must add their sewing speeds together: 1.5626 + 2.084 = 3.64583333.
Using this equation we can divide a 25 sq ft quilt by their speed of 3.64583333 to get approximately 6.86 hours.
The answer is approximate because we used rounded decimals.
Select the ordered pairs that satisfy the equation y=1/5x.
Check all that apply.
Answer:
Step-by-step explanation:
C 2=1/5(10) 2=2
E -1=1/5(-5) -1=-1
≈Delilah≈Please help me answer all parts of this in the next two hours!
Answer:
1) Yes, table shows a probability distribution
2) Mean = 1.5
3) Standard Deviation = 1.1
Step-by-step explanation:
PART 1:
For the table to show a probability distribution, the sum of all probabilities should be equal to 1
Sum of probabilities = 0.358 + 0.443 + 0.174 + 0.025
Sum of probabilities = 1
Hence, the table shows the probability distribution.
PART 2:
The formula for mean is given by:
Mean = Sum of terms/ Total no. of terms
Mean = (0+1+2+3) / 4
Mean = 1.5
PART 3:
The formula for standard deviation is given by:
[tex]\sigma=\sqrt{\frac{\sum(x_i-\mu)^2}{N}}[/tex]
Solve using a calculator, we get
σ = 1.118
Round off to one decimal place
σ = 1.1
PLS SHOW ALL WORK AND ANSWER CORRECTLY
Answer:the solution was long so there are 3 pictures hope it helps u
Step-by-step explanation:
Which graph represents the function f(x) = (1∕4)x – 1?
Answer:
Where's the graph?
Step-by-step explanation:
Answer:
Step-by-step explanation:
math way
Find the value of n.
Answer:
n = -1.5
Step-by-step explanation:
[tex]\frac{1}{(\sqrt2)^{3} } } = 0.353553[/tex]
log ( [tex]2^{n}[/tex] ) = log (.353553)
n = [tex]\frac{log (0.353553) }{log (2)} = -1.5[/tex]
Which geometry includes a triangle that has angle measures of 45°, 61°, and 70°? Euclidean geometry hyperbolic geometry elliptical geometry spherical geometry
Answer: Hyperbolic geometry
Step-by-step explanation:
Hyperbolic triangle is a non - Euclidean triangle in which the sum of the angles of the triangle is not up to 180 degrees. That is, less than 180 degree.
Euclidean geometry is the normal geometry that is being taught in school in which the sum of the angles of its triangle equals 180 degrees
While spherical geometry is a non euclidean geometry with sum of the angles of its triangle greater than 180 degrees.
Therefore, the triangle that has angle measures of 45°, 61°, and 70° is a non - Euclidean geometry which is hyperbolic geometry.
Answer:
hyperbolic geometry
Step-by-step explanation:
a²=m. Find a⁶
pls help
Answer:
M^3
Step-by-step explanation:
what is th rate equivalent to an annual rate of 20% with monthly capitalization
Answer:
about 21.9%
Step-by-step explanation:
The effective annual multiplier is ...
(1 +r/n)^n = (1 +0.20/12)^12 ≈ 1.21939
The rate equivalent is 1 less than this:
1.21939 -1 = 0.21939 = 21.939%
Put the steps in the correct order to show how a budget is made.
First Step
T1 Total up spending
11 Reduce expenses in flexible categories to save or increase savings
Ti Calculate income
Ti Determine if spending is below income
11 Categorize expenses
Final Step
Answer:
The correct answer is: Calculate income, Total up spending, Categorize expenses, Determine if spending is below income, and Reduce expenses in flexible categories to save or increase savings. When making a budget, it's first necessary to figure out how much money comes in and goes out, and then to compare expenses to income to make cuts if necessary.
Step-by-step explanation:
Ronna answered 18 of the 20 questions on her second math test correctly. On the first test, she had answered only 15 of 20 questions correctly. What was the percent increase in her score from her first test to the second test? A. 15% B. 35% C. 75% D. 90
Answer:
A: 15%
Step-by-step explanation:
First test:
15 ÷ 20 = 0.75
0.75 * 100 = 75%
Second Test:
18 ÷ 20 = 0.9
0.9 * 100 = 90%
90% - 75% = 15%
At 50, Brian sets up an IRA, where he plans to deposit $12,000 at the end of each year until age 75. Find the amount of the annuity if he invests in a stock fund that yields 4% compounded annually.
Answer: the amount of the annuity is $501000
Step-by-step explanation:
We would apply the future value which is expressed as
FV = C × [{(1 + r)^n - 1}/r]
Where
C represents the yearly payments.
FV represents the amount of money
in your account at the end of 25 years.
r represents the annual rate.
n represents number of years or period.
From the information given,
r = 4% = 4/100 = 0.04
C = $12000
n = 75 - 50 = 25
Therefore,
FV = 12000 × [{(1 + 0.04)^25 - 1}/0.04]
FV = 12000 × [{2.67 - 1}/0.04]
FV = 12000 × 41.75
FV = $501000
10. Rhonda Harmon's credit card statement showed an $839.78 balance. Since then, she has made a $110.50 payment
and purchases totaling $143.75. What is Rhonda's new balance?
NEED HELP PLSS
Answer:
585.53 new balance
$839.78 - 110.50 - 143.75
Answer: 585.53
Step-by-step explanation:
839.78 - 110.50 = 729.28
729.28 - 143.75 = 585.53
Given the figure as marked, identify the most specific type of quadrilateral.
Select the best answer from the choices provided.
A.
parallelogram
B.
rhombus
C.
rectangle
D.
square
Answer:
the answer is c. rectangle
The volume of the cone is 540π , work out the height of the cone.
radious = 6cm
Answer:
14.32
Step-by-step explanation:
The volume of the cone is 540π , work out the height of the cone.
radious = 6cm
Answer:
14.32
Step-by-step explanation:
Solve 8x+c= k for x.
O A. x = 8(k+c)
K-C
O B. x-
O C. *- **
K+C
8
O D. x = B(k-c)
SUBMIT
Helpp plzzzz
Answer:
x = (k-c)/8
Step-by-step explanation:
8x+c= k
Subtract c from each side
8x+c-c= k-c
8x = k-c
Divide each side by 8
8x/8 = (k-c)/8
x = (k-c)/8
the answer is not d
Answer:
Answer c: 1000
Step-by-step explanation:
Set f(x) = 2 log x - 6 = 0 as a first step in finding the zero or zeros.
2 log x - 6 = 0 becomes log x - 3 = 0 after dividing all three terms by 2.
Then log x = 3, and because "log x" has base 10, the value of x is 10^3, or 1000.
I need help plz hellpppp!!!!
Answer:
375(I think)
Step-by-step explanation:
750/2= 375
Answer:
304.
i believe i haven't done that type of problem in a while
Step-by-step explanation:
1. What is the median of the data below? 2. What is the value at Q1 (or the lower quartile)?
Answer:
the median is the middle line
Step-by-step explanation:
Answer:
fkjshfkjdhfjksdhfjkshdfkjshd
Step-by-step explanation:
which of the following relations is a function ?
Answer:
Step-by-step explanation:
The relation that is a function is c
Which table shows the function y = -2x + 4?
es
Answer:
To figure this out you have to plug in values
c
4-5/8(-4)=6.5
4-5/8(2)=2.75
4-5/8(4)=1.5
4-5/8(8)=-1
Step-by-step explanation:
In approximately two to three sentences, explain how you would convert
14/ 25
to a percent
The volume of a cylinder is given by V = ar?h
where ris the radius of the cylinder and his the
height. Which expression represents the volume of
this can?
Answer:
D
Step-by-step explanation:
[tex]V=\pi r^{2}h\\ =\pi*(x+2)*(x+2)*3x+8\\ =\pi *x(x+2)+2(x+2)*3x+8\\ =\pi *x^{2}+4x+4*3x+8\\ =3x(x^{2}\pi+4x\pi+4\pi)+8(x^{2}\pi+4x\pi+4\pi0 \\ =3x^{3}\pi+20x^{2}\pi+44x\pi+32[/tex]
Which is the equation in slope-intercept form for the line that passes through (3, 3) and is parallel to x + 3y=4?
Answer:
hope this is correct
Find h, assuming the triangles formed are similar.
Answer:
h=18
Step-by-step explanation:
Answer:
Step-by-step explanation:
Similar triangles, the sides are in proportion
[tex]\frac{20}{8}=\frac{h}{6}\\\\\frac{20}{8}*6=h\\\\5*3=h\\[/tex]
h = 15
Write in simplest form:
4 1/3 : 7
Answer:
13 : 21
Step-by-step explanation:
4 1/3 : 7
13/3 : 7
3*13/3 : 3*7
13 : 21
