Answer:
67.6
Step-by-step explanation:
Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.
Write p(x) = 21 + 24x + 6x2 in vertex form.
Answer:
p(x)= 6(x+2)^2 -3
Step-by-step explanation:
Start with equation reworded
6x^2+24x+21
Factor
6(x^2+4x+7/2)
Complete the square
6(X^2 + 4x + 2^2 - 2^2 + 7/2)
Use binomial formula
6((x+2)^2 - 2^2 + 7/2)
Simplify
6((x+2)^2 - 1/2)
Expand
6(X+2)^2 - 3
Answer:
p(x)= 6(x+2)^2 -3
Step-by-step explanation:
We are given with height= 9 ft. Length=10 ft. Wall Brackets: 48-inch cost $12.95 68-inch cost $16.95 Distance from brackets from ends= 1 foot maximum . What is the total cost of the brackets, before tax?
Answer:
$89.7
Step-by-step explanation:
We are given with
height = 9 feet
length = 10 feet
wall brackets:
48-in costing $12.95
60-in costing $16.95
distance of brackets from ends = 1 foot
maximum distance between brackets= 24 inches
The brackets are
48/12 = 4 feet
and
60/12 = 5 feet
One of each must be used to cover the height of the shelf
The length of the shelf is
60 inch
subtracting 1 in from each side for the allowance
60 - 2 = 58 in
Dividing by 24 inches
58/24 = 2.41 ~ 3
The total cost is
($12.95 + $16.95) * 3 = $89.7
The total cost of the brackets is $89.7
Find the slope of the line that passes through (2, 12) and (5, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -2/3
please see the attached picture for full solution
Hope it helps
Answer:
[tex]slope = - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex](2 \: \: \: ,\: \: \: 12) = > (x1 \: \: \: , \: \: x2) \\ (5 \: \: \: ,\: \: \: 10) = > (y1 \: \: \: , \: \: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 10}{2 - 5} \\ = \frac{2}{ - 3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please answer no rush first CORRECT answer gets Brainiest.
The answer is 2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
What is (4h^2b)^2 written in its simplest form?
Answer:
16h⁴b²
Step-by-step explanation:
(4h²b)²= 4²(h²)²b²= 16h⁴b²
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!!!!
Answer:
(up) by 6
left by 7
Step-by-step explanation:
Solve each equation for x 3х- 12у= 27
2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes?
Answer:
15552 in^3
Step-by-step explanation:
Volume formula for a cube of side length s: V = s^3.
Then the total volume here is:
(24 in)^3 + (12 in)^3 = 15552 in^3
Consider the diagram. Lines a and d are?
Answer:
perpendicular
Step-by-step explanation:
They form a 90 degree angle
rearrange to make x the subject a= 4x/t -p
Answer:
x = [tex]\frac{t(a+p)}{4}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{4x}{t}[/tex] - p ( isolate term in x by adding p to both sides )
a + p = [tex]\frac{4x}{t}[/tex] ( multiply both sides by t )
t(a + p) = 4x ( divide both sides by 4 )
[tex]\frac{t(a+p)}{4}[/tex] = x
Given f(x) = 3/4x + 12, find the value of x when f(x) = x.
Answer:
48 =x
Step-by-step explanation:
3/4x + 12 = x
Subtract 3/4 x from each side
3/4x + 12-3/4x = x-3/4x
12 = 1/4x
Multiply each side by 4
12*4 =1/4x *4
48 =x
Answer:
x=48
Step-by-step explanation:
f(x) is basically just another way to write y.
If f(x)=x, then y=x.
x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)
1/4x=12 (Subtract 3/4 from both sides of the linear equation)
x=48 (Multiply both sides by 4)
Hi...Could u plz help me...
Answer:
B and D I dont have time to explain
I am sorry.
Thanks for question
Help me plsssss. Exterior angles definitions
Step-by-step explanation:
an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°
What is the nth term rule of the quadratic sequence below?
6, 20, 40, 66, 98, 136,...
Which is equivalent to “4 pencils for every 2 students”?
Answer:
8 pencils for every 4 students or 2 pencils for every students
Step-by-step explanation:
Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent
what are the values a b and c in the quadratic equation 0 equals 5x - 4x^2- 2
Answer:
A: -4
B: 5
C: -2
Step-by-step explanation:
The equation we are given is 5x-4x²-2. We can rewrite this in order of standard form.
-4x²+5x-2
Now that we have the standard form, we can find a, b, and c. A, B, and C ar ethe coefficients of each term.
A: -4
B: 5
C: -2
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.
The equation of the scenario is
.
The values of p must be
.
This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:
Rocco's current weight = initial weight - (half pound per week * # weeks)
p = 55 - 0.5*w
Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)
Answer:
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.
The equation of the scenario is p=55-0.5w
The values of p must be any real number 45 to 55
What is the length of AC? And Length of AB?
Answer:
The length of AC is 5 units. The length of AB is 3 units.
Step-by-step explanation:
19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Pergunta correta:
Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Resposta: A) 54
Explicação passo a passo:
17x + 51y = 102 - - - - equação 1
Divulgue até 17
x + 3y = 6 - - - - - - - Equação 2
9x + 27y - - - - - - - equação 3
Comparando as equações 2 e 3
(Equação 3) = 9 × (equação 2)
Isso é, 9x + 27y = 9 × (x + 3y = 6)
9x + 27y = 9x + 27y = 54
Portanto ; 9x + 27y = 54
To what unit rate does 96/12 simplify?
A.8/1
B.9/1
C.10/1
D.12/1
Answer:
A. 8/1
Step-by-step explanation:
96/12=8
12/12=1
Therefore, the answer is 8/1. Have a good day!
8/1 is the unit rate of the fraction 96/12, option A is correct.
The given fraction is ninety six by twelve
96/12
Let us find the unit rate of 96/12
we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.
96 divided by 12 is 8
and 12 divided by 12 is 1.
So 96/12 is equal to 8/1
Therefore, the simplified form of 96/12 is 8/1.
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which of the following descriptions represents the transformation shown in the image?
Answer:
C. left two units, up three, reflection on the x = -1
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).
Answer:
Step-by-step explanation:
The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units. The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units. If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).
The next thing to do is to calculate the length of the hypotenuse of this triangle. Using the Pythagorean Theorem, we get:
d = √(7² + 7²) = 7√2 ft.
The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd
and ...
The area of the triangular shape is A = (1/2)(base)(height), which here is
A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2
Which fraction is less than the fraction represented by the model?
Answer:
fraction represented by model = 5/8
fraction less than model = 2/4
The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.
What is a Fraction?A fraction is a number that is the part of the whole.
It is represented in the form of p/q, where q is not equal to zero.
The figure has a circle in which sections have been divided.
There are some shaded sections and some non-shaded sections.
The number of shaded section is 5.
The number of non-shaded section is 3.
The total sections are 8.
The fraction that is represented by the model is 5/8.
The model shown is a visual way to represent and understand fractions.
The fraction = 0.625
The fraction in the options are,
3/4 = 0.75
11/16 = 0.6875
13/16 = 0.8125
2/4 = 0.5
0.5 < 0.625
2/4 < 5/8
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What is the value of y when x = 6?
-3x + 9y = 18
Answer:
y = 6
Step-by-step explanation:
-3x + 9y = 18
-3(6) +6y = 18
-18 +6y = 18
Add 18 to each side
-18+18 +6y =18+18
6y = 36
Divide each side by 6
6y/6 = 36/6
y = 6
A card is drawn from a well shuffled pack of 52 cards. Find and match the probability of:
A 2 of Spades 1/13
A Jack 1/26
A red King 1/4
A Diamond suit 1/52
2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.
A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.
A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.
A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.
A SCHOOL HAS 320 GIRLS AND 250 BOYS
THE PROBABILITY THAT A GIRL IS LEFT-HANDED IS 0.2
THE PROBABILITY THAT A BOY IS LEFT-HANDED IS 0.1
ESTIMATE THE NUMBER OF LEFT-HANDED STUDENTS IN THE SCHOOL
Answer:
89
Step-by-step explanation:
I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them together. I hope it helps and I'm not sure what method you would use for this but that's mine.
Which equation represents a proportional relationship?
y = 5x + 2
y = 100 x
y = 16x2
y = 6x
Answer:
5x+2
Step-by-step explanation:
I think it is 5x+2
the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5
Answer:
-55/8, 61/8, x=47/24
Step-by-step explanation:
not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one
but basically just sub in the value into the eqn given
what the answar for 9+4t=7t+15
Answer:
t= -2
Step-by-step explanation:
9+4t=7t+15
Subtract 4t from both sides
9=3t+15
Subtract 15 from both sides
-6=3t
3t= -6
Divide both sides by 3
t= -2
What is Three-fourths divided by one-sixth?
Answer:
9/2 or 4.5
Step-by-step explanation:
3/4 divided by 1/6 changes into multiplication and you switch one of the denominators
it becomes 3/4 times 6/1 which is 18/4 when simplified, it's 9/2
Answer:
9/2
Step-by-step explanation:
