Answer:
first part:
(t-3)^2=6
second part:
0.55
5.45
Step-by-step explanation:
answer on edge uity
Complete square form of the equation 16t² - 96t + 48 = 0 is (t -3)² = 6.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given quadratic equation is,
16t² - 96t + 48 = 0
To find the square for the quadratic equation,
Simplify the quadratic equation,
16(t² - 6t + 3 ) = 0
Add 96 in whole equation,
16(t² - 6t + 3 + 6) = 16 x 6
16(t² - 6t + 9) = 96
t² - 6t + 9 = 96 /16
t² - 6t + 9 = 6
(t -3)² = 6
The required square form of the equation is (t -3)² = 6.
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help plz ive been stuck on this for a while now
Answer:1.20/5
Step-by-step explanation:
Answer:
9/10 or in decimal form 0.9
Step-by-step explanation:
help please show steps please I don't know what to do so I want to learn not just get the answer
If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?
Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase
Answer:
7
Step-by-step explanation:
one bag of candy for every three people
12 ÷ 4 = 3
21 ÷ 7 = 3
Answer:
7
Step-by-step explanation:
Apply proportions:
People/bag of candy
[tex]\frac{12}{4}[/tex]
For 21 people
[tex]\frac{21}{x}[/tex]
Equal both expressions
[tex]\frac{12}{4} =\frac{21}{x}[/tex]
Solve for x:
[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]
You should purchase 7 bags of candy
Multiply 2.89x 23.2 =
What is 2+2? I think the answer is 6 :)
Answer: wut yea i think it's six too.
The answer is 4 because look at this: ♥ ♥
That's 2 hearts
If you add 2 more:
♥ ♥ ♥ ♥
1 2 3 4 --> 4 hearts!
♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥
So, 2 + 2 = 4.
Ok :
Solve the system of equation
Answer:
x= 3, y= 8
or x= -1, y= 0
Step-by-step explanation:
y= 2x² -2x -4 -----(1)
y -2x= 2
y= 2x +2 -----(2)
Substitute (1) into (2):
2x² -2x -4= 2x +2
2x² -2x -4 -2x -2= 0 (bring all terms to the left)
2x² -4x -6= 0 (simplify)
x² -2x -3= 0 (÷2 on both sides)
(x -3)(x +1)= 0 (factorise)
x -3= 0 or x +1= 0
x= 3 or x= -1
Substitute into (2):
y= 2(3) +2 or y= 2(-1) +2
y= 6 +2 or y= -2 +2
y= 8 or y= 0
Solve 5(x+9) - 4 = 71 for x
Answer:
x = 6
Step-by-step explanation:
5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.
Are these expressions equivalent?
yes or no
Answer:
yes they are equivalent
4.1 times 3.14 times two
Answer:
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.
Step-by-step explanation:
can you help me?
Answer:
25.748
Step-by-step explanation:
If you multiply 4.1 by 3.14, your answer comes out to 12.874. Multiply that by 2 and you get your answer of 25.748. Hope this helps.
What is the slope of the graph of 3x - 3y = 6?
Answer:
pls help
Step-by-step explanation:
Please find the locator point (h, k) of the function
y=-(x+2)^3-5
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.
Answer:
10+(-4)=6
Step-by-step explanation:
Answer:
-4 + 10
Step-by-step explanation:
PLEASE HELP!!! MATH FINAL
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?
Answer:
if u get it pls tell me
Step-by-step explanation:
What is the Y-intercept and The slope of the equation?
2x+7y=14
Can someone please help me with this!!!
Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9
Y-intercept choices
A. 2
B. 7
C. -2
D. 0
Answer:
Slope = -2/7; Y intercept = +2
Step-by-step explanation:
First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:
y = mx + b
Here's how:
[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]
The above shows this equation in slope intercept form: y = -2/7x + 2.
The slope of this line is -2/7 while the y intercept is 2!
*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!
Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3
If y° and 150° form a linear pair , then y° ?
Answer:
Y=30
Step-by-step explanation:
we know that Y+150=180 as it is a linear pair
so, Y= 108-150
which will be 30
help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*
Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?
a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g
Answer:
C. 45 + 7h = g
Step-by-step explanation:
This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.
Example:
Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.
45 + 7(3) = g
Now you just have to solve the equation.
45 + 21 = g
Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.
g = 66
is 54/35 a rational number?
Answer:
54/35 is a rational number!
Have a great rest of your day!
Answer:
Yes and no
Step-by-step explanation:
The number 54 is a rational number if 54 can be expressed as a ratio, as in Rational. A quotient is the result you get when you divide one number by another number. Although the 54 is good the 35 is not due to it if you had to choose if it was or not you can say yes but it determines the question.
PLSS!!!! HELP!!! ME I WILL MARK U!!!!
Answer:
562
Step-by-step explanation:
Plug in the values of x, y, and z provided.
(5(5)-1)^2-2(7)
Solve.
(25-1)^2-14
(24)^2-14
576-14
562
Answer: 562
Step-by-step explanation:
(5x+y)^2-2z
first put in the known values. (5(5)+(-1))^2-2(7)
(25+-1)^2-14
Second, do 25+-1=24
(24)^2-14
Third, do 24 squared
576-14
Subtract
562
(3x^8)(5x) simplify using Law of exponent
-2 (3x - 6) + 4 (5x - 8) = 92
Answer: x=7
Step-by-step explanation:
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Answer:
line A is steeper.
Line A´s slope is 1, while line d´s slope is 2/5
John sold 32 poster prints of his artwork in September for a total of $126. In October, he sold 48 prints of his artwork for $240. If the relationship between the number of poster prints and total earnings is linear, what was the cost per print expressed as a slope(# of posters sold, $posters sold for)?(complete sentence answer
Given:
In September, John sold 32 prints of his artwork for $126.
In October, he sold 48 prints of his artwork for $240.
To find:
The cost per print expressed as a slope.
Solution:
Let y be the cost of x prints.
The relationship between the number of poster prints and total earnings is linear.
In September, John sold 32 prints of his artwork for $126. So, the line passes through (32,126).
In October, he sold 48 prints of his artwork for $240. So, the line passes through (48,240).
Now, the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{240-126}{48-32}[/tex]
[tex]m=\dfrac{114}{16}[/tex]
[tex]m=7.125[/tex]
The slope of the linear function 7.125.
Therefore, the cost of per print is $7.125.
Lexi runs the snack stand at Belleview Community Pool. This morning, she withdrew $150 from the stand's bank account to buy supplies. When the stand closed this evening, she deposited $437 from the day's sales. What was the total change in the stand's bank account relative to where it started?
Answer:
Step-by-step explanation:
Let the initial money in the account be y.
Lexi withdrew $150 from the stand's bank account to buy supplies. This will be:
= y - $150
Later, she deposited $437 from the day's sales. The money in the account will now be:
= y - $150 + $437
= y + $287
The total change in the stand's bank account relative to where it started will be the initial amount + $287.
Answer:
287
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answer:
Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.
(sorry if its incorrect had a hard time reading the picture)
8. The length of an actual road is
1,000 miles. If 1 inch represents
100 miles, what is the length of
the road on the map?
Answer:
It's A.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
1,000 / 100 = 10
What is the greatest common factor (GCF) of 51 and 85? A. 17 B. 3 C. 5 D. 23
Answer:
!7 hope this helps:)
Step-by-step explanation:
The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.
A'(t) =???
MARK AS BRAINLIST
Step-by-step explanation:
L = 6t+5
H = √t
A = L*H
= (6t+5) *√t = 6t√t + 5√t
A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t
= 6t/2√t + 6√t + 5/2√t
Expression for the rate of change of the area with respect to time will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second
It's given in the question,
Length of a rectangle is given by the expression(6t + 5) cm
Width or height of the rectangle is given by the expression,[tex]\sqrt{t}[/tex] cm
Area of the rectangle is given by,
Area = Length × Height
A = (6t + 5)(√t)
A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]
Now find the derivative of area (A) with respect to time (t).
[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]
A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Therefore, expression for the rate of change of the area will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
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