Answer:
The value that completes the square is: c=8
Step-by-step explanation:
Find the value of c that completes the square [tex]x^2-16x+c[/tex]
The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,
2(x)(8) = 16x
so, c= 8
Solving:
[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]
So, the value that completes the square is: c=8
The larger of two numbers is fourteen more than twice the smaller number. If the sum of the numbers is 41, find the two numbers. Write your answer as two numbers separated by a comma.
Answer:
x+y=41
x=2y+14
by solving eq
2y+14+y=41
y=27
×=68
Please answer...
Tracy has $35 to buy comic books and to pay for a single movie ticket. It costs $3 per comic book. The movie ticket costs $10. Which inequality can be used to determine how many comic books, b, Tracy can buy?
A: 3b + 10 >= 35
B: 10b + 3 >= 35
C: 3b + 10 <= 35
D: 10b + 3 <= 35
The volume of the large cube is 125 cubic inches. The volume of the small cube is 27 inches. What is the difference between the length of one side of the large cube and the length of one side of the small cube?
Answer:
2cmStep-by-step explanation:
Step one:
given data
for the large cube
the volume= 125cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
125=l^3
l=∛125
l=5cm
Step two:
given data
for the large cube
the volume= 27cm^3
we know that volume = l*l*l
volume=l^3
we want to find l, so we have to cube both sides
27=l^3
l=∛27
l=3cm
The difference between the length of one side of the large cube and the length of one side of the small cube=5-3= 2cm1. A local pizzeria sold 65 pizzas yesterday.
(step 1) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
(Part 2) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.
Answer:
Part 1
Pizzas sold last day = 65
Increasement needed in sale = 20%
pIzzas to be sold today
= 65 + 20% of 65
= 65 + 20/100 × 65
= 65 + 1/5 × 65
= 65 + 1/1 × 13
= 65 + 13
= 78
Part 2
Pizzas sold last day = 65
Pizzas sold today = 60
60 = 65 + x% of 65
60 = 65 + x/100 × 65
60 - 65 = x/20 × 13
- 5 = x/20 × 13
-5/13 = x/20
-5/13 × 20 = x
-7.692 = x
Therefore, there was a decrease in pizza sale by 7.692%
By rounding off,
The decrease in pizza sale was by 7.700%.
= 7.7%
A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?
help plz it due today
Answer:
Point A - 1/2 and - 1/4
Point B - 2 1/2 and 1 1/2
Point C 1/4 and 1/2
Step-by-step explanation:
Number between 3.45 and 3.46
Answer:
3.451, 3.452, 3.453, 3.454, 3.455, 3.456, 3.457, 3.458, 3.459, 3.460
The cost of renting Party Palace is $ 120 plus $ 15 per person attending the party. If the total cost of renting Party Palace is $ 480 , how many people attend the party?
Answer:
24 individuals
Step-by-step explanation:
Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...
($480 - $120) / $15 = x
$360 / $15 = x
24 = x
Finally, we can see that a total number of 24 individuals attended the party
last month kiera ran 22 more miles than bianca did if they ran a combined total of 86 miles how many miles did bianca run
Answer:
54 miles
Step-by-step explanation:
86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles
Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.
Let x = miles Bianca ran
x + 22 = miles Kiera ran
combined total of their miles is 86 miles
x + (x + 22) = 86
solving for x
2x + 22 = 86
2x = 86 - 22
2x = 64
x = 64 / 2
x = 32
therefore, Bianca ran for 32 miles.
learn more about miles here
brainly.com/question/32302516
#SPJ2
slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)
Answer:
8/4 and 2/1(or just 2)
Step-by-step explanation:
slope formula- (y2-y1)/(x2-x1)
plug in the numbers-
(9-1)/(1+3) and (-7+9)/(-1+2)
Please help due in a hour!!
Answer:
f(x)=1/2(x-4)^2+2
Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.
Answer:
Not directly proportional
Oh and can you give me brainliest
Which expression is a difference of cubes?
Answer:
[tex](x-y)(x^2+xy++y^2)[/tex]
Step-by-step explanation:
[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]
Answer:
It would be D
Step-by-step explanation:
Got it right on Edge 2021
if you haven't pulled a knife out on yo siblings you aint real siblings
Answer:
yup
Step-by-step explanation:
Find the slope of the line through
3) (-1, 17). (6, 12)
fine the exact rationalized value of sin(25π/6)
Answer:*******************brainliest
Answer:
How is your day going lol
Step-by-step explanation:
was this supposed to be a question lol>
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths
Answer:
Option A
Step-by-step explanation:
The equation of line is
Solution:
Given that line passes through the point (4, –6) and has a slope of Negative three-fourths
Given point is (x, y) = (4, -6)
The equation of line passing through point (x, y) and slope "m" is given as:
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Substitute (x, y) = (4, -6) and in eqn 1
The required equation of line is given as:
Thus the equation of line is found
Answer:
a
Step-by-step explanation:
Use the Distributive Property to expand the expression you obtained in part B.
The expression is 2(100 − x).
Answer:
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
Answer:
2(100 − x)
Distribute the 2:
2(100) − 2(x).
Multiply within each term:
200 − 2x.
The expression 2(100 − x) expands to 200 − 2x.
Step-by-step explanation:
Mark me brainliest please?
If the temperature outside was 63°F at 5:00 p.m., but it fell 21 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.?
Answer:
42°
Step-by-step explanation:
Subtract: 63 - 21 = 42°
Answer:
42°F
Step-by-step explanation:
63-21=42°F
if it fell, it means it went down, so it got colder
Please help me I will really appreciate it!!!
Answer:
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
Step-by-step explanation:
solve for t
h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2
-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides
-2h + 2 = a[tex]t^{2}[/tex]; divide by a
(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
If f(x) = 2x – 4 and g(x) = x 2 – 4x, find each value.
Answer:
Step-by-step explanation:
First, solve for each function separately:
F(5)=52+4(5)F(5)=25+20⇒F(5)=45
G(6)=2(6)+2G(6)=12+2⇒G(6)=1
Now, let's add our solutions together:
F(5)+G(6)=45+14=59
Which statement explains how to determine if triangle ABC is similar to triangle XYZ?
Answer:
It is the last one
Step-by-step explanation:
There aren't enough angles
What is 2M?
M=[3 5]
[-4 0]
Answer:
2M will be:
[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Therefore, the 2nd option is true.
Step-by-step explanation:
Given the matrix
[tex]M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}[/tex]
Multiplying by 2 will basically be a scalar multiplication.
Therefore, multiply each of the matrix elements by a scalar.
[tex]2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}[/tex]
[tex]=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Hence, 2M will be:
[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]
Therefore, the 2nd option is true.
Nov 06, 7:43:52 PM
Which equation represents a line which is parallel to the line y =
= -x - 8?
O 8x + 3y = -6
O 8x – 3y = 3
Submit Answer
8y - 3x = -48
3x + 8y = 48
O
Answer:
8x-3y=3
Step-by-step explanation:
Its the only one that would give you a negative x
Will mark brainliest!! Please answer ASAP
Will give extra points!!!
Please let me know if the picture above answer is correct or not and tell me the right answer!
Second question-
Which linear equation can be used to represent a line parallel to the x axis that passes through the point (8,5)
1) y=5
2) y=x+8
3) y=x+5
Answer:
y=5
Step-by-step explanation:
y= 5 is always parallel to x axis
Can someone plzz answer this!!?
Answer: B Angle Side Angle
Step-by-step explanation:
Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.
Extremely easy question marking Brainliest answer
Answer:
It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.
Which of the following mathematical properties is described by the statement, “whatever is done on one side of the equation must also be done on the other side of the equation”?
Identity Property of Addition
Associative Property
Communitive Property
Property of Equality
today guys please
Answer:
Property of Equality
Step-by-step explanation:
Answer:Property of Equality
STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:
PLEB
Are the triangles congruent?
1. If they are congruent tell me the how you determined congruence, AND tell me the rigid transformations
needed to match the triangles over each other.
2. If they are not congruent then answer "not congruent" or "not enough information" and explain why.
Answer:
yes they are congruent because they are the same size
Step-by-step explanation:
theyre the same size so yes