Step-by-step explanation:
Let's complete the square
x²-8x=-20
x²-8x+(-4)²=-20+(-4)²
x²+(-4)²=-20+16
(x-4)²=-4
(x-4)²+4
where a is an integer as required
51.807 round to the 2 decimal place
Answer:
51.81
............................................
Answer:
51.807 rounded to two decimal places is 51.81
Step-by-step explanation:
Brainliest please
~hannah32010~
what is a ratio of two different measurements where the 2nd measurement is 1.
Answer:
A "rate" is a ratio involving a comparison of 2 quantities that have different unites of measurement. An example of this can be miles per hour or g/mL
Step-by-step explanation:
This figure is made up of two rectangular prisms.
What is the volume of the figure?
Enter your answer in the box.
Answer:
3•2•7=42•2=84
12•10•7=840
84+840=924in^3
Step-by-step explanation:
What’s pemdas and how do we use it ?
Answer:
pemdas is an order of operation
Step-by-step explanation:
PEMDAS STANDS FOR parentheis, exponents, multiplication, division, addition, and subtraction. it is the order of how you should solve multi step equations EXAMPLE: 1+2x2 FIRST you have to multiply the 2x2 because multiplication comes first in PEMDAS, then you do the addition so 2x2=4+1=5
PEMDAS is the order that you solve a problem.
PEMDAS stands for:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
If you have an equation or expression that you need to solve, you solve it in this order. You do the parenthesis first, then you solve the exponents, then you do the multiplication and division from left to right, and last you do addition and subtraction from left to right.
In the equation
2 + 3 * 5,
first you would do 3 * 5 because multiplication is before addition.
2 + 15
Then you would do the addition to get the answer:
17.
Please give brainliest
The circumference of a circle is 20pi m. find its diameter,in meters
Answer:
20 mStep-by-step explanation:
Circumference formula:
C = πdSubstitute and solve for d:
20π = πdd = 20π/πd = 20The number a is about 8 times greater than b.
Find the correct value of a and b.
A. a = 3.1 and b = 2.5
B. a = 2.5 and b = 3.1
C. a = 2 and b = 1.2
D. a = 1.2 and b = 2
Answer: None of the answers are viable.
Step-by-step explanation:
a ≅ 8b
a/b ≅ 8
A. (3.1/2.5) = only slightly greater than 1
B. 2.5/3.1 = slightly less than 1
C. (2/1.2) = less than 2
D. 1.2/2 = less than 1
None of these answers is viable.
None of the options are correct.
Given,
The number a is about 8 times greater than b.
We need to find the correct value of a and b from the given options.
A. a = 3.1 and b = 2.5
B. a = 2.5 and b = 3.1
C. a = 2 and b = 1.2
D. a = 1.2 and b = 2
What do the mathematical terms mean?We have,
2 times M = 2x M
2 greater than M = M + 2
2 less than M = M - 2
Sum = adding
Times = Multiplication
Find the value of a and b.
We have,
The number a is about 8 times greater than b.
We can write it as
a = 8 x b
Find out which option is correct.
A. a = 3.1 and b = 2.5
a = 8 x b
3.1 = 8 x 2.5
3.1 ≠ 20
So this option is incorrect.
B. a = 2.5 and b = 3.1
2.5 = 8 x 3.1
2.5 ≠ 24.8
This option is not correct.
C. a = 2 and b = 1.2
2 = 8 x 1.2
2 ≠ 9.6
This option is not correct.
D. a = 1.2 and b = 2
1.2 = 8 x 2
1.2 ≠ 16
This option is not correct.
Thus none of the options are correct.
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help asap pleaseeeee
Answer:
Its the last one!
Step-by-step explanation:
Remember
closed circle is less than or equal to and greater than or equal to
open circles are the less than and greater than!
and because it is the
less than or equal to because its going up.(left)
100 if u get this right!
Answer:
■ y = m x
m = slope
Here m = 4/3
,*,slope is 4/3
Identify the terms, coefficients, and constants in the expression 15x+3
Answer:
coefficients are : 15. constants are: 3
Step-by-step explanation: hope it helps
In the expression, 15x + 3 there are two terms.
The coefficient of x is 15.
The constant term is 3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
15x + 3
There are two terms:
15x and 3
The coefficient of x is 15.
The constant term is 3.
Thus,
There are two terms.
The coefficient of x is 15.
The constant term is 3.
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Complete the table shown to the right for the population growth model for a certain country.
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
Reasons:
The table is presented as follows;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right][/tex]
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹
[tex]\left (1 + r\right)^{29} = \dfrac{20.9}{40.5}[/tex]
[tex]r = \left(\dfrac{20.9}{40.5} \right)^{\dfrac{1}{29} } - 1 \approx -0.02255[/tex]
The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
[tex]\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right][/tex]
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Solve for u
7=u/4-16
Answer:
u=92
Step-by-step explanation:
Like and give 5 star rating
Which answer choice is NOT equivalent to 4(x + 3)
a. 4x + 12
b. x + 3x + (4 + 3)
c. x + x + x + x +12
d. 2x + 2x + (4 x 3)
Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12
Why cant it sign me in at this time im to young or sum like im 11, sorry i just need help and quick i really think this is a rare app and it will make me fly through my work and plus i have a lot to do
Answer:
well if you managed to ask this question then you're signed in. but maybe next time you might wanna lie your age...
-2+3y=9 ; y=2x+7 i need help
Answer:
Here is your 2 answers.
Step-by-step explanation:
First question: -2+3y=9
step 1 simplify first so now it's 3y-2
step 2 add both sides by 2 now its 3y=11
step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer
Second question:
I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3
Please help me ASAP I’m gonna fail this !!!
Answer:
90% sure it's the 4/5 x 4/5 answer. Might be wrong though.
Colin invests £980 into his bank account. He receiv 0.3% per year simple interest. How
much will Colin have after 7 years? Give your answer to the nearest penny where appropriate.
Answer: 1,000.77
Step-by-step explanation:
After 1 year: 980 + 0.3% = 982.94
After 2 years: 982.94 + 0.3% = 985.89
After 3 years: 985.89 + 0.3% = 988.85
After 4 years: 988.85 + 0.3% = 991.82
After 5 years: 991.82 + 0.3% = 994.80
After 6 years: 994.80 + 0.3% = 997.78
After 7 years: 997.78 + 0.3% = 1,000.77
Brainliest?
HELP QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKK
Answer:
a is 7 b is 4 and c is -20
Step-by-step explanation:
it is always in order of a b and c
4. If the slope of one side of a triangle is , what is the slope of the
ALTITUDE that intersects this side?
a.3/2
b. -2/3
C.-3/2
d. None of the above
5p2 =20 encuentra el valor de p2
Hola!!
5p² = 20
p² = 20/5
p² = 4
p = √4
p = 2.
El valor de p² es 4 & p es 2.
------------
¡Espero que te ayude!
RainbowSalt2222 ☔
Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)
Answer:
y=3x-1
Step-by-step explanation:
m=y2-y1/x2-x1
m=8-(-7)/3-(-2)
m=8+7/3+2
m=15/5
m=3
y-y1=m(x-x1)
y-(-7)=3(x-(-2)
y+7=3(x+2)
y+7=3x+6
y=3x+6-7
y=3x-1
Which graph represents y as a function of x?
Answer:
Bottom left.
Step-by-step explanation:
In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.
In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.
Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.
Sarah fenced in her backyard. The perimeter of the yard is 18 feet, and the width of the yard is 4 feet. Use the perimeter formula to find the length of the rectangular yard in inches: P = 2L + 2W.
Answer:
42
Step-by-step explanation:
A. complete the table if y varies directly as x or x
Answer:
If Y = X
then you X and Y should be congruent to each other.
Step-by-step explanation:
NEED HELP ASAP!
1. For the function y = 3x - 6, what is a the output when the input is 10?
Answer:
24
Step-by-step explanation:
You input will always be your x so you just substitute x with 10 and simplify. Which is 30 minus 6, thus 24. :)
What is a fraction pair that is equivalent to 2/15 and 4/9, and in which both fractions have a
denominator that is the least common denominator of 2/15 and 4/9?
45
c-2115,419
Answer:
6/45 and 20/45
Step-by-step explanation:
The least common denominator is the least common multiple (LCM) of 9 and 15.
The factors of those numbers are ...
9 = 3·3
15 = 3·5
The LCM is the product of the unique factors to their highest powers:
3·3·5 = 45
__
To make 2/15 have a denominator of 45, we need to multiply by 3/3:
2/15·3/3 = 6/45
To make 4/9 have a denominator of 45, we need to multiply by 5/5:
4/9·5/5 = 20/45
The desired fraction pair is 6/45 and 20/45.
I need help quickly
PLEASE HELP ME OUT!
25 cm = ______ mm
15 g = ______ mg
Answer:
25cm = 250mm
15g = 1500mg
Step-by-step explanation:
cm to mm = multiply by 10
therefore 25 x 10 = 250
g to mg = multiply by 1000
therefore 15 x 1000 = 15000
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answer:
75 ≥ 2s + 5l
75 = guests
2 is = amount of people per small table
5 is = amount of people per big table
how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
What are the roots of the equation x²+2x+17=0 in simplest a+bi form?
Answer:
-1 ±4i
Step-by-step explanation:
The quadratic can be written in vertex form as ...
x² +2x +17 = 0
(x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square
(x +1)² = -16 . . . . . . . . . . . . subtract 16
x +1 = ±√(-16) = ±4i . . . . take the square root
x = -1 ±4i . . . . . . . . . . . subtract 1
The roots of the equation are x = -1-4i and x = -1+4i.
_____
Additional comment
It can be worthwhile to remember the form of a perfect square trinomial:
(x +a)² = x² +2ax +a²
If you know the coefficient of x, you can use half of it as the constant in each binomial factor.
In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.
The roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].
To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.
The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
We have a = 1, b = 2, and c = 17.
Substituting these values into the quadratic formula, we get:
[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]
[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]
[tex]x = \frac{-2 \pm 8i}{2}[/tex]
[tex]x = -1 \pm 4i[/tex]
So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.
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