Hello!
Answer:
f(x) = (x + 4)² - 4
Step-by-step explanation:
Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:
f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²
Simplify:
f(x) = (x² + 8x + 16) + 12 - 16
Subtract to find the 'k' value:
f(x) = (x + 4)² - 4. This is the equation in vertex form.
help I will mark you brainly
Answer:
Hi there!!
The answer would be x=20 and y= 10 root 3 or on decimal it's 17.32.
explanation look in picture, alright.
I hope it will help u....
Answer:
x = 20
y = 10√3 or 17.3
Step-by-step explanation:
This is a special 30° 60° 90° right triangle
In this special triangle if the side length that sees 30° is represented by x and its given as 10 the side length that sees 90° would be twice of it so it's represented by 2x = 20 and the side length that sees 60° is x√3 = 10√3
In triangle ABC, angle B = 90 degrees. Semicircles are constructed on sides AB, AC, and BC, as shown below. Show that the total area of the shaded region is equal to the area of triangle ABC.
Explanation:
The area of a semicircle is given by ...
A = πr^2/2
where r is the radius. Here, we're given diameters, so in terms of diameter, the area of a semicircle is ...
A = π(d/2)^2/2 = (π/8)d^2
__
The area of the semicircle with diameter AC is ...
white area = (π/8)AC^2
The area of the semicircle with diameter BC is ...
left semicircle area = (π/8)BC^2
And the area of the semicircle with diameter AB is ...
right semicircle area = (π/8)AB^2
__
We can use the relationship between the areas to find the shaded area:
triangle area + left semicircle area + right semicircle area =
white area + shaded area
Then the shaded area is ...
shaded area = triangle area + left semicircle area + ...
right semicircle area - white area
__
Filling in the values for area from above, we have ...
shaded area = triangle area+ (π/8)BC^2 +(π/8)AB^2 -(π/8)AC^2
shaded area = triangle area + (π/8)(BC^2 +AB^2 -AC^2)
From the Pythagorean theorem, we know that ...
AC^2 = BC^2 +AB^2
Substituting this into the above equation gives ...
shaded area = triangle area + (π/8)((Bc^2 +AB^2 -(BC^2 +AB^2))
shaded area = triangle area + 0 . . . . simplify
shaded area = triangle area
10 POINTS IDENTIFY THE SLOPE, Y-INTERCEPT AND GRAPH.
1. Y= 2X + 3
2. Y = 34 X-2
Answer:
slope: 1.) 2 ,,, 2.) 3/4
y-int: 1.) (0,3) ,,, 2.) (0,-2)
graph: attached in pictures/ blue line represents y=2x+3 ,,, red line represents y=3/4-2
Step-by-step explanation:
For what values of a the following expressions are true: |a|=−a
Answer:
Any negative number and 0 works for the expression.
Step-by-step explanation:
Looking at this type of equation, we know that either EVERY negative number and 0 or EVERY positive number and 0 will work for this equation, since nothing is being added and we're just working with absolutes/negatives.
Let's try a random positive number in the expression
[tex]|6| = -(6)\\6 \neq -6[/tex]
So this positive number doesn't work, let's just test with another one.
[tex]|9| = -(9)\\9 \neq -9[/tex]
So we know that positive numbers won't work with this expression.
Let's test 0 quickly, just to make sure.
[tex]|0| = -0\\0 = 0[/tex]
So 0 works.
Let's try a few negative numbers now.
[tex]|-5| = -(-5)\\5 = 5[/tex]
So yes, this does work. Let's try one more negative number.
[tex]|-120| = -(-120)\\120 = 120[/tex]
This works. So, every negative number and 0 work with this equation.
Hope this helped!
Answer:
|a|=−a is true only if a is negative or zero
Step-by-step explanation:
Recall that absolute values are always 0 or positive.
|a|=−a is true only if a is negative or zero.
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:
[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]
Also
[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
I think you mean [tex]210x^6y^4[/tex]
We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].
For [tex]k=5[/tex]
[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]
Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]
For [tex]k=6[/tex]
[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]
the water was pumped out of a backyard pond. what is the domain of this graph?
A all real numbers less than or equal to 8
B all positive real numbers
C Real numbers from 0 to 8
D all integers less than or equal to 8
Answer:
C. Real numbers from 0 to 8
Step-by-step explanation:
Given:
The graph above
Required
Determine the domain of the graph
The first step is to get the range of the depth of the pond
[this is plotted along the y axis]
The highest plot on the y axis is 95 and the least is 0
The next is to determine the corresponding time for the value listed above
When y = 95, x = 0
When y = 0, x = 8
The domain is x: 0 to 8
From the list of given options, option C correctly answers the question.
Based on the graph below, what is a reasonable estimate for the y value when x is -4?
Answer: i think the answer is 1.5
Step-by-step explanation:
A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation? A. 5x > 20 B. 5x 20 + 5 D. 5x < 20 + 5
Answer:
A. 5x>20
Step-by-step explanation:
Because the company has to produce more than 20 fixtures you need greater than 20 and you have 5 machines time the number they produce.
Hope this helps, if it does please mark brainliest!!
In lowa, the Hoosiers basketball team won half of its first twelve games. There are a total of
24 games in the season. In order to make it to the playoffs, the Hoosiers need to win three
fourths of their remaining games. If the team is able to win exactly three fourths of their
games, how many total games will they have won at the end of their 24-game season before
the playoffs begin?
Answer:
18
Step-by-step explanation:
3/4 of 24 is 18
Write them in a standard form.
The equation turns into:
400+70+6+0.6+0.03+0.07
which equals:
476.637
The second equation becomes 4+ 68/1000, which becomes 4.068.
Hope this helps!
what is the product of the reciprocal of 5,the reciprocal of 18, and the reciprocal of -3 please provide a explanation :)
Answer:
1/5, 1/18, and 1/-3
Step-by-step explanation:
a reciprocal reverses a fraction
for example:
5=5/1
reciprocal=1/5
hope this helps:)
Answer:
1/5, 1/18, -1/3
Step-by-step:
The simple answer is just to to make that number under one.
Example: 5 is the reciprocal then 1/5 was the start number. Vise-versa. Hope this helps!
PLEASE HELP I AM IN A RUSH: Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns. Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pays as shown in the table below. Tuesday Thursday Saturday Hours worked 6 8 5 Amount paid $52.50 $70.00 $43.75 Which statement best describes the hourly rates? The two jobs pay the same hourly rate. The comparison cannot be made with the information given. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job. Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.
Answer:
C: Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Step-by-step explanation:
given:
y = 9x for Jason
For Mia
Tue Thu Sat
6 8 5
Tuesday : 52.50 for 6 hyours => 8.75 / hour
Thursday : 70.00 for 8 hours => 8.75 / hour
Saturday : 43.75 for 5 hours => 8.75 / hour
Solution:
Therefore Mia makes 8.75 / hour
False : The two jobs pay the same hourly rate.
False : The comparison cannot be made with the information given.
True : Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
False : Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.
Answer: C Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Step-by-step explanation:
Find the area of the trapezoid (Problem is highlighted in Pink)
Answer:
please mark my answer as the brainliest
Step-by-step explanation:
AREA = 1/2 * (b1+b2)h
A = 1/2 * (8+18)13.5
therefore area = 175.5cm^2
Answer:
Area = 1/2 * (B1+B2)hH
A = 1/2 * (8+18)13.5
Therefore the area = 175.5cm^2
Help me ASAP for this question
Answer:
b
Step-by-step explanation:
to solve a problem like this you need to set up a proportion
45% is a percent(obviously) so you put 45 over 100 because percent's are fractions of 100
the key word is the word is. i don't kow about anyone else but i was taught is over of(is/of)
this means 27 is the numerator
27/x=45/100
The exponent on b when b^3 is multiplied by b^3 is
Answer:
6.
Step-by-step explanation:
When b^3 is multiplied by b^3, the bases are the same (b). That means that the exponents are added to each other. 3 + 3 = 6, so b^3 * b^3 = b^6.
Hope this helps!
Answer:
6
Step-by-step explanation:
b³ · b³ = ( b³ )² = b⁽³⁾⁽²⁾ = b⁶
hence the exponent is 6
From the set {5, 15, 20}, use substitution to determine which value of x makes the inequality true. x + 10 >25 A . 20 B. 5 C. none of these D. 15
Answer:
A.
Step-by-step explanation:
If x=5
5 + 10 is less than 25.
If x=15
15+10 is equal to 25
If x =20
20+10 is greater than 25
The perimeter of the rectangle below is 94 units. Find the value of x.
Answer:
The value of x = 9 units
Step-by-step explanation:
The complete question is attached to this solution.
The perimeter of a rectangle is given as
P = 2 (L + B)
L = Length of the rectangle = 3x - 1
B = Breadth of the rectangle = 2x + 3
P = Perimeter of the rectangle = 94 units
94 = 2 [(3x - 1) + (2x + 3)]
3x - 1 + 2x + 3 = (94/2) = 47
5x + 2 = 47
5x = 47 - 2 = 45
5x = 45
x = (45/5) = 9 units
Hope this Helps!!!
6. Find the product for both sets of polynomials below by multiplying vertically.
A.4x2 - 4x
x*x² - 4
————
B)
x²+x-2
*4x² - 8x
———-
Answer:
A) [tex]4x^5-4x^4-16x^2+16x[/tex]
B) [tex]4x^4-4x^3-16x^2+16x[/tex]
Also, maybe that vertically means:
A) [tex]4x^2 \cdot x^3[/tex] and [tex](-4x) \cdot (-4)[/tex]
Resulting in [tex]4x^5+16x[/tex]
B) [tex]x^2 \cdot 4x^2[/tex] and [tex]x \cdot (-8x)[/tex] and [tex]-2 \cdot 0[/tex]
Resulting in [tex]4x^4-8x^2[/tex]
Step-by-step explanation:
It seems that you want to multiply the polynomials in this way: [tex](\text{Polynomial - 1})\cdot(\text{Polynomial - 2})[/tex]
A)
[tex]4x^2-4x[/tex]
[tex]x \cdot x^2 -4[/tex]
[tex](4x^2-4x)(x \cdot x^2 -4)=(4x^2-4x)(x^3 -4)[/tex]
[tex](4x^2-4x)(x^3 -4)\\[/tex]
[tex]4x^5-16x^2-4x^4+16x[/tex]
[tex]4x^5-4x^4-16x^2+16x[/tex]
B)
[tex]x^2+x-2[/tex]
[tex]4x^2-8x[/tex]
[tex](x^2+x-2)(4x^2-8x)[/tex]
[tex]4x^4-8x^3+4x^3-8x^2-8x^2+16x[/tex]
[tex]4x^4-4x^3-16x^2+16x[/tex]
May someone help please fast! Thanks!
Answer:
10m
Step-by-step explanation:
We can set up an equation to solve this.
[tex]\frac{20}{25} =\frac{8}{x}[/tex]
This equation can be created since we are given two similar sides of both triangles.
Now, cross multiply and simplify to solve for [tex]x[/tex].
[tex]20x=200\\x=10[/tex]
The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.
Therefore, the value of [tex]x[/tex] is 10m.
If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1? A) -2 2 - (-8) + 1 B) -2 2 - 8 + 1 C) (-2) 2 - (8) + 1 D) (-2) 2 - (-8) + 1
Answer:
The answer is D.
Answer: D) (-2)*2 - (-8) +1
Step-by-step explanation:
w = -2.
so the w2 is equal to -2*2
v = -8
so -v + 1 = -(-8) + 1
Put it together and you get (-2)*2-(-8)+1
the parentheses are needed for the first -2 because other wise it'd be -(2*2) instead of (-2)*2
heeeeeeeeeeeeeeeeelp
The focus of the problem set is to show your ability to prove similarity between two triangles that are congruent. True False
Answer:
true bc i am smart
Answer:
the answer is TRUEStep-by-step explanation:
In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year.
Complete question :
In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Earned revenue = $53,000
Cash received from customers = $45000
Incurred expenses = $29,500
Cash paid towards incurred expenses = $23,050
Cash which will not be expensed till next year = $8,750
Cash Accounting:
Cash received $45,000
Expenses ($23,050 + $8750) = $31,800
Net Income $(45,000 - 31,800) = $13,200
Accrual Accounting :
Revenue earned $53,000
Expenses incurred $29,500
Net income $(53,000 - 29,500) = $23500
? Question
Using the scenario and your equation from part A, find the number of shots each player attempted,
Type the correct answer in each box. Use numerals instead of words,
Jared attempted
shots,
Zach attempted
shots,
Answer:
Jared attempted 60 shots.
Zach attempted 70 shots.
Step-by-step explanation:
4-2b>(6-b) whats the answer this is algebra 1 solving inequalities with variables
Answer:
b<-2
Step-by-step explanation:
4-2b > (6-b)
4-2b > 6-b
-4 +b -4 +b
-b > 2
/-1 /-1
b < -2
Answer:
b<−2
Step-by-step explanation:
The following data points represent the weight (in kilograms) of each of Newman's dogs. 3, 2, 26, 9 Find the mean weight.
Answer:
10 kilograms
Step-by-step explanation:
The mean of any data set is all the numbers added up divided by the amount of points.
[tex]3+2+26+9=40\\40\div4 = 10[/tex]
Hope this helped!
Answer:
10
Step-by-step explanation:
The mean is another word for average. Add up all the numbers and divide by the number of terms
( 3+2+26+9) /4
40 /4
10
The mean is 10
Which of the following theorems verifies that DEF= XYZ?
Answer:
The correct answer is D: LL ( Leg-Leg Congruence)
Step-by-step explanation:
Theorem 4.6 Leg -Leg Congruence said that if the legs of one right triangles are congruent to the corresponding legs of another right right, then the triangles are congruent.
So in this case we can tell that both triangle are congruent by Leg-Leg Congruence due to the tick marks we have on both of the legs on the two triangles.
Answer:
The answer is LL
Step-by-step explanation:
thats what i got
You are having a small party and the Pizza driver drops
off 5 Pizza's. They are all cut into eighths. You also
have 3 slices left over in your fridge from the night
before. Write how much pizza you have as an
improper fraction(Remember that an improper
fraction has the numerator larger than the
denominator)
Answer:
43/8
Step-by-step explanation:
5*8=40
40+3=43
There are 8 slices per pizza so the answer would be 43/8
help pls!!!! Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxes of nails Peter will get if he buys n boards. If each box has 100 nails, explain how to write an expression to find how many nails Peter will have if he purchases 90 boards.
Answer:
x=1/5n
a=1/5(90)*100
The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.
Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?