Answer:
x2 + 10x +25 = (x+5)^2
Step-by-step explanation:
x^2 + 10x
To complete the square
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 =25
Add it
x2 + 10x +25
The coefficient of x divided by 2 is the factor we add to x inside the square
(x+5)^2
Answer:
25 should go in the blank.
Step-by-step explanation:
You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.
What is the domain of the equation shown in the graph?
Question options:
All real numbers
x= ≤ -1
x≥-1
x≤0
Answer:
All real numbers.
Step-by-step explanation:
The domain is the range of values of x.
The graph goes on without bounds to - infinity and positive infinity.
Is the figure shown in the xy- plane a parallelogram? Why or why not. use the coordinates to history your answer.
Please help!!! Due in 15 mins !!
Answer:
Step-by-step explanation:
It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other
The given xy- plane is a parallelogram.
When a plane figure is called a parallelogram?
A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.
How to find the distance between two points?If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by
[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]
Where, d is the distance between two points.
According to the given question
We have a plane figure PSTO
And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.
Now, the length of the sides by distance formula
PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]
PS = [tex]\sqrt{c^{2}+0 }[/tex]
PS = c
Similarly,
ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]
ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]
TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]
TO = [tex]\sqrt{c^{2} }[/tex]
TO = c
And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]
PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]
From the above calculation we found that
PS = TO
PO = ST
⇒ Length of the opposite sides of the plane figure are equals.
And from the given figure we can see that the opposite sides are also parallel to each other.
Therefore, the given xy- plane is a parallelogram.
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110 < 2x + 10 pls helppppppp
110<2x+10
Step 1: Flip the equation.
2x+10>110
Step 2: Subtract 10 from both sides.
2x+10−10>110−10
2x>100
Step 3: Divide both sides by 2.
x>50
Step-by-step explanation:
A grocery store buys cereal using the cost function c(n) = { 2n when n < 100 1. 9n when 100 ≤ n ≤ 500 1. 8n when n > 500 where n is the number of boxes of cereal the grocery store buys and c(n) is the cost of the cereal. The grocery store then sells the cereal using the sales function s(c) = 1. 3c. What is the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them?.
The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247
From the given function, we can see that the equivalent function for a number of 100 boxes is given as;
c(n) = 1.9n
If n = 100
c(100) = 1.9(100)
c(100) = 190
Hence the cost of 100 boxes will be $190
Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:
[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]
Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247
Learn more on functions here: https://brainly.com/question/17043948
Which expression is equivalent to
Step-by-step explanation:
this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.
to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :
-9/-15 = 3/5
x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶
y^-9/y^-3 = y³/y⁹ = 1/y⁶
so, by multiplying all 3 parts together again we get
3/(5x⁶y⁶).
I suspect this is the second answer option, but please make sure.
help me pliz ill give u full stars i need help quick fast pliz
Answer:
[-5, 5]
Step-by-step explanation:
If something cost $37.80, how many tens would you give?
Answer:
4 tens
Step-by-step explanation:
3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.
Community Involvement Claim: Three-fourths of all adults believe that it is important to be involved
in their communities. Based on a USa Today/Gallup poll of 1021 randomly selected adults, 89%
believe that it is important to be involved in their communities. find the value of the test statistic.
Using the z-distribution, it is found that the value of the test statistic is z = 10.33.
At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:
[tex]H_0: p = 0.75[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.75[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]
[tex]z = 10.33[/tex]
A similar problem is given at https://brainly.com/question/24330815
Patrick took out a loan for $500 at 4.2% simple interest. If he pays it back in 2 years, how much interest will he have to pay?
Answer:
Simple Interest = $542
Compound Interest = $542.88
Step-by-step explanation:
Find three consecutive numbers if their sum is 3n.
Answer:
n-1, n, n+1
Step-by-step explanation:
n - 1 + n + n +1 = 3n
The middle number is n, the first is n-1 and the third is n+1
Based on the information given, the three consecutive numbers will be n-1, n, and n+1.
It should be noted that consecutive numbers simply mean the numbers that follow themselves in a particular order.
In this case, the three consecutive numbers will be n-1, n, and n+1. Their addition will be:
= n - 1 + n + n + 1
= 3n
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Question 3(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of y in the equation y3 = 27?
y=y equals 27 over 3
y=y equals cube root of 27
y=y equals square root of 27 over 3
y=y equals square root of 27
Answer:
y = y is equal to 27 over 3
Step-by-step explanation:
being y3 = 27
the y3 is found by multiplying and is passed to the other side by dividing, becoming y = 27/3
Please answer this ASAP
Solve for x.
2x−4=6−3x
A: x= -0.4
B: x= 2
C: x= -2
D: x= 0.4
Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
[tex]2x-4=6-3x[/tex]
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
[tex]2x + 3x = -3x + 3x + 10[/tex]
And then I'll add like terms:
[tex]5x=10[/tex]
Now, all we have to do is divide both sides by 5:
[tex]5x/5=10/5\\x=2[/tex]
And there's our answer. Hopefully that's helpful! :)
Unit 8 right triangles and trigonometry homework 5
Answer: Bro. Thats not telling us anything
Step-by-step explanation:
What forms of the following equation in?
2x+3y=15
What is the probability of rolling an even number on a number cube and flipping a tails on a coin?
Answer:
25% or 1 in 4 chance.
Step-by-step explanation:
The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.
3/6 can be re-written as 1/2.
The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.
So then, multiply 1/2 by 1/2 to get 1/4.
Which of the following is true of the location of the terminal side of an angle, Theta, whose sine value is One-half? Theta has a reference angle of 30° and is in Quadrant I or II Theta has a reference angle of 30° and is in Quadrant I or IV Theta has a reference angle of 60° and is in Quadrant I or II Theta has a reference angle of 60° and is in Quadrant I or IV.
The sine of the angle theta is given by the ratio of the opposite leg to the hypotenuse side of the right triangle formed by the terminal segment.
The true location of the terminal side of the angle θ is given by the option; Theta has a reference angle of 30° and is in Quadrant I or II.Reasons:
The given parameters are;
The sine value of the given angle = One-half
Required: To select the true statement of the location of the terminal side.
Solution:
Given that sin(θ) = 0.5, we have;
The sine of an angle is positive in Quadrant I and Quadrant II
Given that the value of sin(θ) is positive, we have θ is in Quadrant I or Quadrant IIThe reference angle, is the angle formed between the angle's terminal side and x-axis
By trigonometric ratios, considering the reference angle, we have;
θ = arcsin(0.5) = 30°
Therefore;
The option that gives the true location of the terminal side of an angle, that have a sine value of One-half is; Theta has a reference angle of 30° and is in Quadrant I or II.
Learn more about trigonometric ratios here:
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Answer:
a
Step-by-step explanation:
edge
Which set of ordered pairs represents a constant rate of change?
A) (0,1) (1,2) (2,4) (3,6)
B) (0, 1) (1.2) (2,2) (3,2)
C) (0, 2) (1,4) (2,6) (3, 8)
D) (0, 2) (1,2) (2, 4) (3,8)
Answer:
Not a because it is only consistant with x not y because it goes 1 2 4 then 6
not b because only consistant with x not y because it goes 1 2 2 2
It is c because it goes 2 4 6 and 8 which is a consistent rate of two.
Step-by-step explanation:
8. Karen had a balance of $57 in her
checking account. She wrote a
check for $90. What is her new
balance?
Answer:
-$33
Step-by-step explanation:
KAREN now ows money to the bank
write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i
Work Shown:
[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]
This matches with choice C. The imaginary 'i' term is not under the square root.
Would this be increase or decrease? 75 people to 25 people?
Answer:
decreased
Step-by-step explanation:
I watch television from 5 o clock until half past. How long do I watch for?I watch television from 5 o clock until half past. How long do I watch for?
Answer:
30 minutes
Step-by-step explanation:
Please answer this ASAP LINKS WILL BE BANNED !!!
Solve for p.
P+3=p-4/2
A: p= -74
B: p= 74
C: p= 10
D: p= -10
Answer:
p = - 10
Step-by-step explanation:
I hope this helps. Good luck
I need to understand this better so Can I please get a step by step explanation? i will give brainiest
Answer:
10 inStep-by-step explanation:
The sides r, 10 and 20 are parallel to each other as all three are perpendicular to same line.
The triangles are similar as two sides are on same lines and another one is parallel as described above.
Work out the value of r using ratios of corresponding sides:
(r + 10)/(10 + 20) = r/10(r + 10)/30 = r/10r + 10 = 3r2r = 10r = 5 inNow, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:
(x + r)/r = (x + 2r + 10)/10(x + 5)/5 = (x + 20)/102(x + 5) = x + 202x + 10 = x + 20x = 10The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____ meters by _____ meters
Answer:
13640cubicmeter........
Brennan studied the relationship shown in the table.
x 3 4 5 6 7
y 36 48 60 72 ?
Which expression describes a method Brennan could use to determine the y-value when x equals 7?
Answer:
y = 12x
Step-by-step explanation:
Note the relationship
x = 3 : y = 36 , that is 36 = 12 × 3
x = 4 : y = 48, that is 48 = 12 × 4
x = 5 : y = 60 , that is 60 = 12 × 5
x = 6 : y = 72 , that is 72 = 12 × 6
The value of y is obtained by multiplying corresponding x value by 12
Then
x = 7 → y = 12 × 7 = 84
in general for any x
y = 12x
what is 7 × 6 − 6 × 2 ÷ 8 + 99 − 5 ÷ 3 × 4
help me plz
Joshua found out that there is a$25 nonrefundable equipment fee in addition to the hourly rates. How does this requirement change the mathematics of the situation?
Answer:
Y=hx+25
Step-by-step explanation:
y=total price paid
h=hourly rate
x=number of hours
25=inital fee
pls help me asap !!!!!
Step-by-step explanation:
the option with the isoceles triangles can NOT be just of that proof, because nowhere is it defined or proven that there is or are isoceles triangles involved. even though the picture looks like it, but that does not mean anything for the formal proof.
actually, this proof is the same (and is also valid) for non-isoceles triangles.
A new bank customer with $4,000 wants to open a money market account. The bank is offering a simple interest rate of1.4 %. how much will the customer earn in 10 years
Answer: they would earn $560
Step-by-step explanation:
10% = 400
1% = 40
0.1% = 4
40+16 = 56*10=560
If you could be so kind to press brainliest on this answer
please someone help me quickkkkk
Answer: B
Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.
The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.
HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.
Now, let's insert our values into the equation y = mx + b. That would be:
y = -2x + 3 which is B and therefore our answer
