Answer:
Add
Step-by-step explanation:
By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:
[tex]15-(6+7)[/tex]
And parentheses always occur first.
Hope this helps!
The volume of a rectangular prism whose dimensions are binomials with integer coefficients is modeled by the function V(x) = x^3 − 14x^2 + 49x − 36. Given that x − 1 and x − 9 are two of the dimensions, find the missing dimension of the prism.
Answer:
The missing dimension of the prism is (x-4)
Step-by-step explanation:
Here, we want to find the missing dimensions of the prism
To get the volume, we are to multiply three dimensions since we are talking about volume
Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions
The product of the two other dimensions is;
(x-1)(x-9) = x^2-9x-x + 9
= x^2-10x+ 9
So we divide;
(x^3-14x^2+49x-36)/(x^2-10x+ 9)
We can use long division to get this
using long division, the answer here is x-4
The volume of a prism is the product of its dimensions.
The missing dimension of the prism is x - 4
The volume function is given as:
[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]
Let the missing dimension of the prism be y.
So, the volume is calculated using:
[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]
Multiply the factors
[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]
[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]
Equate both expressions of volume
[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]
Factor the numerator
[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]
Cancel out common factors
[tex]\mathbf{y = x - 4}[/tex]
Hence, the missing dimension of the prism is x - 4
Read more about volumes at:
https://brainly.com/question/21308855
equations with variables on both sides: decimals & fractions, 6d - 11/2 = 2d - 13/2
Step-by-step explanation:
i work in paper sheet please see it
Final Answer: [tex]d = -\frac{1}{4}[/tex]
Steps/Reasons/Explanation:
Question: Equations with variables on both sides: decimals & fractions, [tex]6d - \frac{11}{2} = 2d - \frac{13}{2}[/tex].
Step 1: Subtract [tex]2d[/tex] from both sides.
[tex]6d - \frac{11}{2} - 2d = -\frac{13}{2}[/tex]
Step 2: Simplify [tex]6d - \frac{11}{2} - 2d[/tex] to [tex]4d - \frac{11}{2}[/tex].
[tex]4d - \frac{11}{2} = -\frac{13}{2}[/tex]
Step 3: Add [tex]\frac{11}{2}[/tex] to both sides.
[tex]4d = -\frac{13}{2} + \frac{11}{2}[/tex]
Step 4: Simplify [tex]-\frac{13}{2} + \frac{11}{2}[/tex] to [tex]-1[/tex].
[tex]4d = -1[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]d = -\frac{1}{4}[/tex]
~I hope I helped you :)~
Fossil fuels produce a higher percentage of the energy in the U.S. than renewable resources because fossil fuels produce far less pollution.
true or false?
Answer:
false
Step-by-step explanation:
fossil fuels are hard to come by, and take a very long time to get back, I dont know about energy, but there is far more pollution than using energy from water or air
Plzzzz helppppp meeeeee
Answer:
The answer is 12.
Explanation:
The bottom is seconds, and on the left side it is feet.
Look at the bottom and find the number 1.5.
Stop there on the line and move up until you hit the dark blue line.
It stops at 12. So that is your answer.
I hope this helps! Have a nice day!
Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^
(Please don't answer with anything random just for the points)
Answer:
Factored Form: f(x) = (x-7)(x-4)
Roots: x=7, x=4
Step-by-step explanation:
What we can do here is break the given expression into groups;
x^2-11x+28 ---> break the expression into groups
(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x
x(x-4) + (-7x +28) ---> factor - 7 from -7x +28
x(x-4) -7(x-4) ---> combine
(x-7)(x-4)
so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4
Answer:
ñanamaisañia thanks for points
What is the sum of the one hundredth of 25, one tenth of thirty and one thousandth of 60?
Answer:
331/100 or 3 31/100
Step-by-step explanation:
We have;
One - hundredth of 25 = 1/100 × 25 = 1/4
One-tenth of 30 = 1/10 × 30= 30/10 =3
One-thousandth of 60= 1/1000 × 60= 60/1000= 3/50
So we have:
1/4 + 3 + 3/50 = 331/100 or 3 31/100
Helppppp i don’t know what to do
Answer:
the last one
Step-by-step explanation:
^^^ this too please
What is the area of this triangle?
Find m. Leave answer in simplest radical form.
1
30°
Answer:
m = 6√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from angle measure
Angle = 30°
Adjacent Leg = m
Hypotenuse = 12
Step 3: Solve for m
Substitute [cosine]: cos30° = m/12Isolate m: 12cos30° = mEvaluate: 10.3923 = mRewrite: m = 6√3
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
-1.18
C.
3,283
D.
3,158
Answer:
D. 3,158
Step-by-step explanation:
h(-67) means to plug the x in h(x)=-49x-125 into the function as -67
The function will then be:
h(-67)=-49(-67)-125
Multiply -49 and -67
h(-67)=3283-125
subtract
h(-67)=3158
so the answer is D
Hope this helps!
The average daily maximum temperature in Cyprus is 21.85 degrees Celsius in the average daily minimum temperature is -4.7 degrees Celsius is the average daily maximum temperature is blank Celsius higher than the average daily minimum temperature
Answer:
26.55°C
Step-by-step explanation:
21.85 + 4.7
Average maximum daily temperature = 21.85°C
Average minimum temperature = - 4.7°C
The average daily maximum temperature is x°C higher than the average daily minimum temperature ;
x = (maximum temperature - minimum temperature)
x = (21.85 - (-4.7))°C
x = (21.85 + 4.7)°C
x = 26.55°C
Hence, The average daily maximum temperature is 26.55°C higher than the average daily minimum temperature
from formula I=U/R tell the R
R=I/U
R=U/I
R=IU
Answer:
R = [tex]\frac{U}{I}[/tex]
Step-by-step explanation:
Given
I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )
R × I = U ( isolate R by dividing both sides by I )
R = [tex]\frac{U}{I}[/tex]
delicious Bakery has a monthly budget of D dollars. Every month, it spends $3,080 on employee salaries. 1/4 of the remaining budget is spent on the ingredients. Which function can be used to find the amount, in dollars, spent on ingredients each month?
Answer:
yellow
Step-by-step explanation:
Mary Catherine makes 2 gallons of punch for her party. How many pints of punch did she make?
the answer is below :D hope u do good!
Step-by-step explanation:
answer is 32! trust me
Polygon PQRST shown below is dilated with a scale factor of 3, keeping vertex P as the center of dilation:
Answer:
Its either A or B:
The length of diagonal PS and diagonal P'S' are in the ratio 1:3.
The lengths of side PT and side R'Q' are in the ratio 1:3.
Please help and give details!
Answer:
D
Step-by-step explanation:
hihi! can you help me please? Giving brainleist to the best/correct awnser :))
Solve for x
9(3−2x)=2(10−8x)
Answer:
x= 2/7
Step-by-step explanation:
i think that's the answer jdmsmzmsms
Answer:
Step-by-step explanation:
x=7/2
if a>0>b, show that 4a^2 - 5ab + b^2 >0
A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?
1.- En una bodega hay 34 sacos de maíz, si cada uno pesa 100 kg. ¿Cuántos
kilogramos de maíz hay en la bodega?
Kyle makes $81 in 9 hours.
A. How much does Kyle earn per hour?
Answer:
$0.11111111111111111111
Step-by-step explanation:
:)
Pls mark brain if I helped
What is the m=
And what is the equation
Please help me asap its almost due
Answer:
m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)
m = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{2-10}{7-0}[/tex]
= [tex]\frac{8}{7}[/tex]
= 1[tex]\frac{1}{7}[/tex]
Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.
Can you help me please?
Answer:
Exponent - Division - Multiplication - Addition - Subtraction
URGENT, PLEASE ANSWER.
-5
Solve the inequalities!
15 points if you answer and trolls will be reported.
Answer: x= -1
Step-by-step explanation:
1 Subtract 44 from both sides.
x=3-4x=3−4
2 Simplify 3-43−4 to -1−1.
x=-1x=−1
Answer: x > -9 and x [tex]\leq[/tex] -1
Step-by-step explanation:
-5 < x + 4[tex]\leq[/tex] 3 To solve the inequality, subtract 4 from both sides or u can divide the whole thing into two inequalities like, -5 < x + 4 and x + 4 [tex]\leq[/tex] 3 and solve for each other.
-5 < x + 4 [tex]\leq[/tex] 3
-4 -4 -4
-9 < x [tex]\leq[/tex] -1
or
-5 < x + 4 x +4 [tex]\leq[/tex] 3
-4 -4 -4 -4
-9 < x x ≤ -1
What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6
O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)
Answer:
O (8, -6)
Step-by-step explanation:
brainiest plz
Answer:
(-6,8)
Step-by-step explanation:
Have a good day
what is the answer?
Answer:
A S A
Step-by-step explanation:
In ΔACE & ΔBCD,
∠A ≅ ∠B {Given} Angle
AC = BC {Given} Side
∠ACE = ∠BCD { Reflexive property} Angle
ΔACE ≅ ΔBCD ------>A S A Property
ill mark brainliest god bless
Answer:
C. m = -8
I hope this helps!
Answer:
Slope is -8
Step-by-step explanation:
2 - y = 8x
- y = 8x - 2
-y/-1 = 8x/-1 - 2/-1
y = -8x + 2
I need help with this question pls
Answer:
yes
Step-by-step explanation:
yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost
btw just copy/paste :P
formula of paremeter
Answer:
The formula for the perimeter of a rectangle is P = 2l + 2w
Step-by-step explanation:
Step-by-step explanation:
2 (l + b)
yes this may help you this is formula of perimeter