Complete the square: x^2-8x+21=6
Please show work
Answer:
x=5 and 3
Step-by-step explanation:
x^2-8x+21=6
x^2-8x+21+16=6+16
(x-4)^2=1
(x-4)=±1, x=5 and 3
........................
Which expression is equivalent to (2 + 6i)(5 + 2i)?
A 22 + 34i
B -2 - 34i
C -2 + 34i
D -2 + 26i
Answer:
c. -2 + 34i
Step-by-step explanation:
(2 + 6i)(5 + 2i)
c. -2 + 34i
I don’t know how to divide the fraction
Step-by-step explanation:
1 7/8 ÷ 3/4 = 15/8 ÷ 3/4
= 15/8 × 4/3
= 45/24 × 32/24
= 1440/24
= 60
Answer:
-2.5 or 5/2
Step-by-step explanation:
-1 ⅞ ÷¾
=-15/8×4/3
=-60/24= -5/2 or -2.5
Pick a bin from each row. Subtract to find how many more bottles are in the bin from the top row than the bin from the bottom row
Bin A 15 bin B 12 bin C 13
Bin D 9 binE 7 bin F 8
How do you solve this problem
Answer:
Step-by-step explanation:
The number of Bins in the first row is 16 higher than in the second row.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given first and second rows are:-
Bin A 15 bin B 12 bin C 13
Bin D 9 binE 7 bin F 8
The total number of the bins first row = Bin A + bin B + bin C
The total number of the bins first row = 15 + 12 + 13 = 40
The total number of the bins in the second row = Bin D + Bin E + Bin F
The total number of bins in the second row = 9 + 7 + 8 = 24
Therefore, the number of Bins in the first row is 16 higher than in the second row.
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how do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer
Step-by-step explanation:
let's simply do the multiplications and then compare with the original.
(x-m)² + n
right ?
or is it
[tex] {(x - m)}^{2 + n} [/tex]
let's go for the first.
x² - 2mx + m² + n = x² - 3x
-2mx + m² + n = -3x
fun there we see two things :
-2m = -3
m = 3/2
and
m² + n = 0
(3/2)² = -n
9/4 = -n
n = -9/4
so our transformed expression looks like
(x - 3/2)² - 9/4
Find the area of the shaded region.
HURRY QUICK PLEASE HELP!!
Which expression is equivalent to 10V5?
A.V500
B. V105
C. V50
D. V15
Answer:
A
Step-by-step explanation:
Answer:
Answer: A. √500
Step-by-step explanation:
[tex]10 \sqrt{5} \\ = (\sqrt{ {10}^{2} } ) \times ( \sqrt{5} ) \\ = \sqrt{100} \times \sqrt{5} \\ = \sqrt{500} [/tex]
true or false An insurance broker is the best person to advise you on the type of insurance you need.
Answer:
that's sooooooo trued to me
I just wanted to ask how to do the inverse operation?
Answer:
Inverse operations are operations that are opposite or “undo” each other. For example, addition undoes subtraction and division undoes multiplication.
Step-by-step explanation:
What is the area of a circle whose radius is r?
What is the area of a circle whose diameter is 2x cm?
Answer:
Area of circle = πr^2
Area of circle when diameter is 2x; r=x
=πx^2
simplify y + 5 - y - 6
Answer:
-1
Step-by-step explanation:
Subtract the numbers: y+5-y-6
Combine like terms: y-1-y
= -1
write the least 6 digit number which is exactly divisible by 83
Answer:
100015
Step-by-step explanation:
it to a little to find it but it is true. I started at 100000 and went up by 1 until I found my answer.
Please help quickly as possible Thank you!
Answer:
A) [tex]\frac{3}{8}[/tex], [tex]\frac{2}{5}[/tex], [tex]\frac{1}{2}[/tex], [tex]\frac{7}{10}[/tex]
B) 2.53, 32.51, 514.37
Step-by-step explanation:
A) Multiply all of them to equal 80
1/2 = 40/80 (1 x 40) (2 x 40)
2/5 = 32/80 (2 x 16) (5 x 16)
3/8 = 30/80 (3 x 10) (8 x 10)
7/10 = 56/80 (7 x 8) (10 x 8)
B) Decimals are easy 1.10 < 1.20 since one is still greater than the other.
if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³
Answer:
6x
Step-by-step explanation:
because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3
Answer:
It is 6
Step-by-step explanation:
take an example:
[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]
a, b, and c are coefficients of x³, x², and x respectively.
d is a constant.
Find the angle 0,in radians, in the given right triangle. The length of the side adjacent to 0 is 17
and the length of the side opposite is 11.
9514 1404 393
Answer:
0.574305 radians
Step-by-step explanation:
The tangent ratio is defined as ...
Tan = Opposite/Adjacent
tan(θ) = 11/17
θ = arctan(11/17) ≈ 0.574305 radians
_____
Make sure your calculator is in Radians mode.
If 1 lb = 2 cups what does 1/2 cups equal?
PLEASE HELP
Answer:
16 ounces equals one pound or two cups. Another way to look at the equivalent is that one cup weighs eight ounces and therefore two cups equal 16 ounces and this is the same weight of one pound--16 ounces.
Step-by-step explanation:
5. A 12 sided diɛ is rolled. The set of equally
likely entene is 21 - 123 Find the probability
of rolling a number Less than 19
Answer:
Step-by-step explanation:
Name the place value to which each number was rounded 16.932 to 20
Hi :)
Rounded to the tenth place value.
16 to 20
Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. The place value to which 16.932 was rounded is 17.
What do you mean by nearest whole number?Rounding to the nearest whole number means converting a number to an approximate value that is easier to use and remember. Usually, decimal numbers and fractions are rounded to the nearest whole number with the help of the appropriate rules.
To round 16.932 to the nearest whole number consider the tenths’ value of 16.932, which is 9 and equal or more than 5. Therefore, we have to round up the whole number part of 16.932, 16, increases by 1 to 17, and the decimal point and all digits (.932) are removed.
16.932 rounded to the nearest whole number = 17
Therefore, The table ahead contains starting numbers close to 16.932 rounded to the nearest basic counting number.
Hence, the place value to which 16.932 was rounded is 17.
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brainiest to whoever right
Answer:
Area of a triangle
Step-by-step explanation:
1/2bh is used to find the area for a triangle
At Jeremy's school, the final grade for his Human Biology course is weighted as follows:
Tests: 50%
Quizzes: 35%
Homework: 15%
Jeremy has an average of 94% on his tests, 78% on his quizzes, and 62% on his homework.
What is Jeremy's weighted average?
83.6%
78%
74.8%
75.6%
Answer:
78%
Step-by-step explanation:
.94 + .78 + .62 = 2.34
2.34/3 = .78
.78 = 78%
Jeremy's weighted average is 83.6%
The grades and the weights of the grades can be represented using the following table
Subject Final Grade Average
Test 50% 94%
Quiz 35% 78%
Homework 15% 62%
The weighted average (w) is the sum of the product of the final grades and the average.
So, we have:
[tex]w = \sum Final\ Grade \times Avearge[/tex]
This gives
[tex]w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%[/tex]
Evaluate the products
[tex]w = 47\% + 27.3\% + 9.3\%[/tex]
Evaluate the sums
[tex]w = 83.6\%[/tex]
Hence, the weighted average is 83.6%
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A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
1 inch : _______ feet
Answer:
640 feet
Step-by-step explanation:
8 = 320
16 = 640
Answer:
640
Step-by-step explanation:
8:320
16: ?
8*2=16
320*2=640
|x-2| > square root (x)
Answer:
x = 0
Step-by-step explanation:
I. When x cant be negative value and
II. Find possible positive value
If x = 0
|0-2| > [tex]\sqrt{0}[/tex]
|-2| > 0
2 > 0 true
If x = 1
|1 - 2| > [tex]\sqrt{1}[/tex]
| -1 | > 1
1 > 1 false
More question or something to discuss, leave comment below
Answer:
Step-by-step explanation:
x ≥ 0 (because the square root)
[tex]|x-2| > \sqrt{x}\\\\1)\ if \ x-2 >0 \ (\ or\ x > 2):\\|x-2|=x-2\\\\x-2 > \sqrt(x) \Longrightarrow\ (x-2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x >4 \ (since\ x>2)\\\\[/tex]
[tex]2)\ if\ x-2 <0 \ (\ or\ x < 2):\\|x-2|=-(x-2)=-x+2\\\\-x+2 > \sqrt(x) \Longrightarrow\ (-x+2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x\geq 0\ and \ x\leq 1 \\[/tex]
Sol= [0, 1] ∪ ]4,+∞) ***** corrected
Mabel needs to order 8,742 binder clips for an upcoming conference. If the binder clips come in boxes of 47, how many boxes should Mabel order?
Solve the inequality for x 17>5-4/3 x
Answer:
[tex]17 > 5 - \frac{4}{3} x \\ 17 - 5 > - \frac{4}{3} x \\ 12 > - \frac{4}{3}x \\ \frac{3 \times 12}{4} > - x \\ 9 > - x \\ multily \: by - 1then \: > \: become \: < \\ - 9 < x \\ thank \: you[/tex]
What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for the base area: V = 1 3 πr2h
2. Substitute the values into the formula: V = 1 3 π(82)(9.5)
3.Evaluate the power:V = 1 3 π(64)(9.5)
4.Simplify using multiplication: V = 1 3 π(608)
The cone has a volume of?
Answer:
608/3
Step-by-step explanation:
I got it correct
42.3952 to the nearest thousandths
Answer:
42.395
Step-by-step explanation:
The thousandths place is the 3 number to the ride of the decimal. We will need to look at the 4th decimal place to round. Remember these rules when rounding:
5 and above round up4 and below round downNow that we know what to do, we can round accordingly.
42.3952 → 42.395
Best of Luck!
12. The cost of carpeting I square meter of a floor is Rs.500. find the cost of carpeting 12 square meters of floor
Answer: 6000
Step-by-step explanation:
1 square meter = Rs.500
500x12
= 6000
12 square meters = Rs.6000
Perform the indicated operation.
(7x + 2x2 - 6x - 4) - (2x+3x2 - 3x + 11)
(7x + 2x2 - 5x - 4) - (2x + 3x² 3x + 11) =
(Simplify your answer. Do not factor.)
Step-by-step explanation:
1st.
(7x+2×2-6x-4) - (2x+3×2-3x+11)
(7x+4-6x-4)-(2x+6-3x+11)
collect like terms
(7x-6x-4+4)-(2x-3x+11+6)
(x+0)-(-x+17)
multiply - by the bracket
x+0+x-17
collect like terms
x+x+0-17
2x-17=0
2x=17
divide both sides by the coefficient of x
2x/2=17/2
x=17/2
what is f(x) = x2 + 4x in standard form
Answer:
(x) =x2+4x
x=6x+x
=6x
Step-by-step explanation:
right answer is 6x
Express the ratio as a unit rate.
4.5 miles in 25 minutes
Answer:
10 mins
Step-by-step explanation:
This is a fraction equal to
25 minutes ÷ 2.5 4.5
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
25 minutes ÷ 2.5
2.5 4.5 ÷ 2.5
=
10 minutes
1 4.5
=
10 minutes
4.5
= 10 minutes per 4.5