Answer:
14t^8
Step-by-step explanation:
Answer:
14t^8
Step-by-step explanation:
Write a polynomial function rule for g(x)+f(x)
Consider the polynomial function
f(x)=7x^3+x2-4x+10
g(x)=c^2-5
Given:
Consider the given polynomials are:
[tex]f(x)=7x^3+x^2-4x+10[/tex]
[tex]g(x)=x^2-5[/tex]
To find:
The polynomial function rule for [tex]g(x)+f(x)[/tex].
Solution:
We need to add both functions to get [tex]g(x)+f(x)[/tex].
[tex]g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)[/tex]
[tex]g(x)+f(x)=x^2-5+7x^3+x^2-4x+10[/tex]
On combining like terms, we get
[tex]g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)[/tex]
[tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex]
Therefore, the required function is [tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex].
Triangle JKL has vertices J(-4, -1), K(0, 4), and L(-4, -2). Graph The triangle and it’s image after a dilation with a scale factor of 0.5.
Answer:
J(-2, -0.5), K(0, 2), L(-2, -1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
so 1 equals one to q 1
what side lengths should be used to model a rectangle with an area of x^2+3x-10 square units? x-5 and x+2 x and x+3 x+3 and x-10
Answer:
Answer: x-2 and x+5 side lengths should be used to model a rectangle.
Step-by-step explanation:
can u make me brainiest pls
Answer:
None of the 3 available answers models the given rectangle
I believe (x+5)(x-2) would be equal though.
Step-by-step explanation:
(x-5)(x+2) = x²+2x-5x-10
simplify:
x²-3x-10 ≠ x²+3x-10
(x)(x+3) = x²+3x
simplify:
x²-3x ≠ x²+3x-10
(x+3)(x-10) = x²-10x+3x-30
simplify:
x²-7x-30 ≠ x²+3x-10
The area of a trapezium is 300sqm and its height is 10m, if one of the parsllel sides is 10m, the length of the other parallel side is
Answer:
50M
Step-by-step explanation:
The area of a trapezium = 1/2 x ( a + b) x h
a and b are the parallel sides
h = height
300sqm = 0.5 x (10 + b) x 10
divide both sides by 10
30 = 0.5 x (10 + b)
Divide both sides by 0.5
60 = (10 + b)
b = 60 - 10 = 50
Bailey made risotto using a recipe that called for 223 cups of liquid. Bailey added 23 cup of liquid to the risotto every 10 minutes. Drag and drop to complete the equation to find how many times Bailey added 23 cup of liquid.
Answer:
4 times
Step-by-step explanation:
Given that :
Cups of liquid required = 2 2/3
Fraction of liquid cup added per 10 minutes = 2/3
The number of times 2/3 cups of liquid is added :
Total cups of liquid required / amount of liquid added at a time
2 2/3 ÷ 2/3
8/3 ÷ 2/3
8/3 * 3/2
24 / 6
= 4 times
solve 15−10= ____ (3−2)
Answer:
5
Step-by-step explanation:
5=1 x y
y=5
Lenny made 50 sandwiches in 12 minutes for a catering job recently. How many sandwiches could he make in an hour if he worked at the same rate?
Answer: in an hour and working at the same rate, Lenny will make 250 sandwiches
Step-by-step explanation:
Number of sandwiches made in 12 minutes =50
Number of sandwiches made in 1 hour = ??
1 Hour = 60 mins
Therefore, Number of sandwiches made in 60 mins = (60 x 50) /12
=5 x 50 = 250 sandwiches
6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long, how tall is the flagpole?
Answer:
11'12
Step-by-step explanation:
so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)
What is the decimal equivalent of 13/4?
Answer:
3.25
hope this helped!!
Answer:
3.25
Step-by-step explanation:
13 / 4 is an improper fraction . when you divide 13 by 4 you get 3.25
Determine the value of e.
Question options:
A)
16
B)
32
C)
18
D)
8
9514 1404 393
Answer:
A) 16
Step-by-step explanation:
The ratio of long-side to short-side is the same for all of these similar triangles, so we have ...
e/8 = 8/4
e = 8(8/4) = 8(2) = 16
The value of e is 16.
Select all ordered pairs that satisfy the function y=2/3x+1 (-3,-1) (-2,-1) (3,3) (5,6)
The circumference of a circular garden is 91.06 feet. What is the radius of the garden? Use 3.14 for pi and do not round your answer
Answer:
radius = 14.5 feet
Step-by-step explanation:
91.06 / 3.14 = diameter = 29
radius = 29/2 = 14.5 feet
Tina planted a tree that was 6 feet tall and grew 3 feet every year her neighbor planted a tree from a seed but it grew 6 feet every year when will the 2 trees be the same height
An architect's scale drawing of a new school is 8.4 inches long. The scale used in the drawing is 2 inches = 8 feet.
What is the actual length, in feet, of the school?
Answer:
33.6f eet
Step-by-step explanation:
if
2=8 then
8.4x8= 67.2/2= 33.6 feet
PLEASE HELP!!! Find the length of the midsegment to the nearest tenth.
Answer:
Midsegment is 35.
Step-by-step explanation:
TL; DR:
The smaller triangle (with a base of 6x + 5) has side lengths that are twice as small as the entire triangle (the one with a base of 3x+55). So, 2(6x+5) = 3x + 55. x = 5, so the midsegment is 35.
Look at the photo attached below.
Here is the statement/reason:
1. ED ║ AB (Midsegments are parallel to the base)
Note: Then, CA and CB are transversals
2. Then, m∠CED = m∠EAB (corresponding angles)
3. m∠CDE = m∠DBA (corresponding angles)
4. ΔCED is similar to ΔCAB (angle angle)
5. CA = CE + EA
6. CA = 39 + 39 = 78 (Substitution, algebra)
7. ED/AB = CE/CA (similar triangles)
Note: You can also use CD and CB
8. (6x+5) / (3x+55) = 39 / 78 (substitution)
9. (6x + 5) / (3x + 55) = 1 / 2 (algebra)
10. 12x + 10 = 3x + 55, x = 5 (algebra)
11. ED = 6x + 5 (given)
12. ED = 6*5 + 5 = 35 (substitution, algebra)
An explanation of the algebra:
(6x+5) is twice as small as (3x + 55). So, we can write this equation:
2(6x+5) = 3x + 55
12x + 10 = 3x + 55
Subtract 3x from both sides.
9x + 10 = 55
Subtract 10 from both sides.
9x = 45
x = 5.
Now, put that into ED.
6x + 5 = 6 * 5 + 5 = 35
I hope this helps! Feel free to ask any questions!
Find the length of side x I simplest radical form
Answer:
Option A
Step-by-step explanation:
By applying Pythagoras theorem in ΔABC,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = 6² + 5²
AC = [tex]\sqrt{61}[/tex]
Similarly, by applying Pythagoras theorem in ΔACD,
AD² = AC² + CD²
(10)² = [tex](\sqrt{61})^2[/tex] + x²
x² = 100- 61
x² = 39
x = √(39)
Option A will be the answer.
A pyramid has a base area of 29.4 cm² and a height of 2 cm.
The volume of the pyramid is ___ cubic centimeters.
Do not round your answer.
Answer:
V= 232.4
Step-by-step explanation:
V= 1/3 x 28 x 24.9
You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?
Answer:
3 gallons
Step-by-step explanation:
Each wall 12 x 20 = 240 feet squared
4 walls = 4 x 240 = 960 squared feet
960 divided into 320 = 3
1 gallon --------320
1 gallon------------320
1 gallon-----------320
3 gallons----------960
Evaluate 2x-y if x=-3 and y= -7
Answer:
1
Step-by-step explanation:
Substitute x with -3 and y with -7
2(-3)-(-7)
Multiply
-6-(-7)
Signs are both negative, turn into positive sign
-6+7
Add
1
Answer:
1
Step-by-step explanation:
x = - 3 and y = - 7
2x-y =?
Now
2*(-3)-(-7)
-6 +7. (sign of negative when multiplied it turns into positive)
1. Answer
If B =1-6w2 and A = 1+ w, find an expression that equals 2B – A in
standard form.
Answer:
I am also still waiting for the answer, if you do find it PLEASE let me know!
Step-by-step explanation:
The sum of the two numbers is 121. The difference between the numbers is 15. What are the two numbers?
Answer:
First number = 75.5
Second number = 45.5
find the slope and y-intercepts of the line below & write the equation of the line.
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.
area of a radius of 19.5
**Answer correctly n ill post another question with extra points**
Answer:
The area of a circle with radius 19.5 is 1195
Answer:
1194.59
Step-by-step explanation:
A=πr2=π·19.52≈1194.59061
The decimal form of 1/3 is a repeating decimal. Are all the multiples of 1/3 also repeating decimals? Explain.
plz help
Answer:
No.
Step-by-step explanation:
1=3*1/3
2=6*1/3
3=9*1/3
......
Yes, All the multiples of 1/3 also repeating decimals.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The decimal form of 1/3 is a repeating decimal.
Now,
Since, The decimal form of 1/3 is a repeating decimal.
As, 1 / 3 = 0.33333...
And, Some of the multiples of 1/3 are;
1 / 3 = 1×2 / 3×2
= 2 / 6
= 0.33333....
And, 1 / 3 = 1×3 / 3×3
= 3 / 9
= 0.33333....
1 / 3 = 1×4 / 3×4
= 4 / 12
= 0.33333....
Thus, Yes, All the multiples of 1/3 also repeating decimals.
Learn more about the divide visit:
https://brainly.com/question/15330585
#SPJ2
the the quotient of the opposite of a number and negative ten
Answer:
The symbol for absolute value is two vertical lines. Since opposites are the same distance from the origin, they have the same absolute value. For example, the absolute value of "negative 10" is ten, and the absolute value of "positive 10" is also 10.
:))
Answer: x/10
Step-by-step explanation:
the quotient of the opposite of a number and negative ten
Well
The opposite of a number is -x
And negative ten is written as -10
now we need the quotient of -x and -10
If you were asked the quotient of 10 and 2 it would be 10÷2 or 5
So the quotient of -x and -10 would be [tex]\frac{-x}{-10} = \frac{x}{10}[/tex]
1. Amir, who is two-thirds of his sister, Manisha's
age, is 10 years of age. Find Manisha's age.
Answer:
Manisha age = 15 years
Step-by-step explanation:
Let
Manisha age = x
Amir = 2/3 of Manisha age
Amir = 10 years
Amir:
2/3 of x = 10
2/3 * x = 10
2/3x = 10
x = 10 ÷ 2/3
= 10 × 3/2
= (10*3)/2
= 30/2
= 15
x = 15 years
Therefore,
Manisha age = 15 years
Identify the values of a, b, and c in the following quadratic equation. 6x 2 + x - 6 = 0
Answer:
[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]
Step-by-step explanation:
[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]
Find the area of the compound shape below.pls help
Answer:
22cm²
Step-by-step explanation:
For the area of triangle,
base = 2 + 2 + 2 = 6cm
height = 4cm
Area = 1/2 x base x height
= 1/2 x 6 x 4
= 12cm²
For area of the rectangle,
length = 5cm
breadth = 2cm
Area = length x breadth
= 5 x 2
= 10cm²
Area of compound shape = 12 + 10 = 22 cm²
in a school
[tex] \frac{7}{16} [/tex]
of students are girls. what fraction of the students are boys
The map shows rail connections between major American cities.
What is the best conclusion that can be drawn from this map?
Most U.S. railroad traffic starts in Houston.
Atlanta is the railroad hub of the South.
Charlotte’s central location makes it a Southern city of the future.
Railroad traffic between Georgia and Florida is in decline.
Answer:
I need to know this, too.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
You can conclude this for the picture
