Given:
Polynomial is [tex]3x^2+15x-56[/tex].
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
[tex]3x^2+15x-56+(x-8)^2[/tex]
[tex]=3x^2+15x-56+x^2-2(x)(8)+8^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]=3x^2+15x-56+x^2-16x+64[/tex]
On combining like terms, we get
[tex]=(3x^2+x^2)+(15x-16x)+(-56+64)[/tex]
[tex]=4x^2-x+8[/tex]
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is [tex]4x^2-x+8[/tex].
Randy bought 6 candy bars for $7.20. What is the cost per candy bar? PLS HELP FAST IT IS WORTH 45 POINTS AND MY GRADE
Answer:
$1.20 per candy bar
Step-by-step explanation:
7.2 ÷ 6 = 1.2
what is the akis of symmetry
y=2x^2-8x+1
Answer:
2
Step-by-step explanation:
please help , giving brainliest, ONLY NUMBER 2
Answer:
-10
Step-by-step explanation:
Click the picture link below for the problem!
THANKS
Answer:
2
Step-by-step explanation:
The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.
Answer:
The slope is a 2/1 slope.
Step-by-step explanation:
If you look at the slope and pick 2 points, let's say (1,1) and (2,3)
find the difference between the two points by y2-y1/x2-x1
The equation would be 3-1/2-1
The answer to the slope would be 2/1.
A scale for a scale drawing is 17 cm:1 mm. Which is larger, the actual object or the scale drawing?
9514 1404 393
Answer:
the scale drawing is larger
Step-by-step explanation:
The scale tells you that ...
17 cm on the scale drawing represent 1 mm on the actual object.
17 cm is larger than 1 mm, so the scale drawing is larger.
What is an equation of the line that passes through the point (-2,8) and has a slope 3?
Answer:
y=3x+8
Step-by-step explanation:
HELP!!BRAINLIEST AND 10 POINTS !! <3 ALSO THIS SAYS -X SO PLEASE HELP WITH THAT !! THANK YOU
3(10 - x) = 21
30 -
21
30 - 3x
= 21
- 3x
- 3x
-9
=
X =
Answer:
x=3
hope this answers is ok na
Step-by-step explanation:
I am answering blanks left to right and top to bottom.
3x
30 30
-9
-3 -3
x = 3
Which statement is true? the sum of 7/8 and 8/7 is zero. the sum of 7/8 and -8/7 is zero. the sum of 7/8 and 7/8 is zero the sum of 7/8 and -7/8 is zero.
Answer:
the sum of 7/8 and -7/8 is zero
Step-by-step explanation:
this is because they cancel each other out
Answer:
Step-by-step explanation:
what is the answer so i can pass
Answer:
8/100 is equivalent to 0.08
Step-by-step explanation:
The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.
Hope this helped :)
the sum of three and a number is added to twenty four I need to translate each verbal expression in to a algebraic expression
Answer:
(3+x)+24
Step-by-step explanation:
24+(3+x)
Since addition is communitive, you could take out the parenthesis.
24+3+x
Hope this helps. Have an AWESOME night!!! :)
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of t representing the charge remaining in series battery as percentage t hours after Sara left her house
Answer:
b=80-8t
Step-by-step explanation:
"b" represents the charge remaining
"t" represents the number of hrs that have passed.
"80" is the reference we will be subtracting the hours from.
"8" is the percentage per hour we will be subtracting
therefore, the equation b=80-8t would solve for the remaining battery after "t" number of hours.
Order these numbers from least to greatest.
NEEDS HELP NOW! BRAINLIEST!
Answer:
4.47, 121/25, 4 17/20, 4.859
More details: U could just change them into decimals bc it’s easier that way but people have different ways so it’s ok that’s just my opinion.
If m 3 = 74 degrees, find each measure
Answer:
A
Step-by-step explanation:
Answer:
m∠4 = m∠3 = 74° (vertically opposite angles are equal)
m∠8 + m∠3 = 180° (linear pair)
m∠8 + 74° = 180°
m∠8 = 180° - 74°
m∠8 = 106°
m∠7 = m∠8 = 106° (vertically opposite angles are equal)
m∠2 = m∠3 = 74° (alternate interior angles are equal)
m∠1 = m∠2 = 74° (vertically opposite angles are equal)
m∠6 + m∠1 = 180° (linear pair)
m∠6 + 74° = 180°
m∠6 = 180° - 74°
m∠6 = 106°
m∠5 = m∠6 = 106° (vertically opposite angles are equal)
hope it helps you❤
Bob uses 16 planks of wood to make 4 beehives. How many planks of wood will he need to make 9 beehives?
Answer:
36
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The question is in the image! Please help if u can its due really soon
Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
i need some help please
Answer: 2.4 x 10^8
Step-by-step explanation:
Answer: 2.4x10^8
Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8
i need help with this asap please
Answer:
The perimeter is 100 feet. This means that all the sides of the shape must add up to equal 100.
x + x + 5 + x - 3 + x + 4 = 100
4x + 5 - 3 + 4 = 100
4x + 6 = 100
4x = 94
x = 94/4
x = 23.5 feet
Miguel bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?
2.73
For each pound of walnuts, it costs $2.73.
All you have to do is divide 10.92 by 4.
x/6+12=(-12). solve for x
Answer:
x=-144
Step-by-step explanation:
[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides
[tex]\frac{x}{6}=-24[/tex] multiply by six
x=-144
25+25= so first u want to add 5+5so that equals 10 so u put the one on the top of 2 then u add2+2+1 so that equals 5 so ur answer would be 50
Answer:
So you pretty much just solved your math by yourself :)
Step-by-step explanation:
Does anyone know this?
Answer:
B
Step-by-step explanation:
Given
g(x) = 2x² - 6x - 56 ← factor out 2 from each term
= 2(x² - 3x - 28) ← factor the quadratic
Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)
The factors are + 4 and - 7, since
4 × - 7 = - 28 and 4 - 7 = - 3 , thus
x² - 3x - 28 = (x + 4)(x - 7) , then
g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B
Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
Answer:
16 ft^2
Step-by-step explanation:
If it is a perfect square, all you have to do is find the square root of the area, which in this case, is 16.
Pls help I will give u 50 points
Answer:
y=13.50x
Explanation:
Answer:
Step-by-step explanation:
stop the cappppppppppp
How many positive divisors does the number 24 have?
Question 3 of 10
What is the measure of RST?
A. 72°
B. 162°
C. 324°
D. 81°
Answer:
D. 81
Step-by-step explanation:
This answer was confirmed by two people in the comments.
What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.
[tex]162-81=81[/tex] ☑
[tex]162-72=90[/tex] ☒
[tex]162-162=0[/tex] ☒
[tex]162-324=-162[/tex] ☒
So, therefore the answer is [tex]81[/tex].
I hope this helped you. :)
a number with a negative exponent can always be written using positive exponents in fraction form. the numerator will always be ___
please finish the sentence
Answer:
1
Step-by-step explanation:
i did this in 8th grade so last year. trust me
can i get brainlest
408 = 12x + 16y solve for both x and y?
Answer:
Slope= − 1.500/2.000
= -0.750
x intercept= 102/3
= 34
y−intercept= 102/4
= 51/2
= 25.50000
Step-by-step explanation:
sorry if this is wrong, I tried!
At time t minutes, the position of a body moving along the s-axis is s= t cubed - 27t squared + 200t feet. a. Find the body's acceleration each time the velocity is zero.
Step-by-step explanation:
Given the expression for the position of a body moving along the s-axis expressed as;
[tex]s = t^3-27t^2+200t[/tex]
The acceleration of the body function will be gotten by finding the second derivative of the displacement function as shown;
[tex]\frac{ds}{dt} = 3t^2-2(27)t+200\\ \frac{ds}{dt} = 3t^2-54t+200\\\\\\a = \frac{d^2s}{dt^2} = 2(3)t-54\\a = \frac{d^2s}{dt^2} = 6t-54\\[/tex]
First we need to get the time taken when the velocity is zero.
[tex]Given \ v(t) = \frac{ds}{dt} = 3t^2-53t+200\\at \ v(t) = 0\\0 = 3t^2-54t+200\\[/tex]
factorize;
t = 54±√54²-4(3)(200)/2(3)
t = 54±√2916-2400/2(3)
t = 54±√516/6
t = 54±22.72/6
t = 54+22.72/6 and 54-22.72/6
t = 12.79s and t = 5.21s
Get the acceleration;
at t = 12.79
a = 6t-54
a = 6(12.79)-54
a = 76.74-54
a = 22.74m/s²
at t = 5.21
a = 6t-54
a = 6(5.21)-54
a = 31.26-54
a = -22.74m/s²
Hence the body's acceleration each time the velocity is zero are 22.74m/s² and -22.74m/s²
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has ?
This question is incomplete
Complete Question
An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for every 30 students.
How many students does the academy have per teacher?Per tutor?
How many tutors does the academy need if it has 80 students
Answer:
a) 18 students per teacher
b) 10 students per tutor
c) 8 tutors
Step-by-step explanation:
a) How many students does the academy have per teacher?
5 teachers for every 90 students
Hence,
5 teachers = 90 students
1 teacher = x students
Cross Multiply
5 × x = 1 × 90
5x= 90
x = 90/5
x = 18 students
We have 18 students per teacher
b) How many students Per tutor?
3 tutors = 30 students.
1 tutor = x students
3 × x = 30 × 1
x = 30/3
x = 10 students
We have 10 students per tutor
c) How many tutors does the academy need if it has 80 students
3 tutors = 30 students.
30 students = 3 tutors
80 students = x tutors
Cross Multiply
30 × x = 80 × 3
x = 80 × 3/30
x = 8 tutors
The school needs 8 tutors for 80 students.