Answer:
Step-by-step explanation:
just think of the parts of an equation as just regual number
a = 5 b = 8 a × b = 5 × 8 = 40
now f(x) = x² + 3x and g(x) = 2x²
f(x) × g(x) = (x² + 3x) × (2x²)
= (x² × 2x²) + (3x × 2x²)
= 2x^4 + 6x^3
f(x) × g(x) = 2x^4 + 6x^3 < ------------------ FINAL ANSWER
let x =2 in (x² + 3x) × (2x²)
(2² + 3×2) × (2×2²) = (4+6) (8) = (10×8) = 80
f(x) × g(x) = 2x^4 + 6x^3
= 2×16 + 6×8
= 32 + 48
= 80 it checks as correct
Please help!!!!!
Billy and Susie were saving up to buy the new Xbox. Billy got $50 for his birthday and saved $20 each week. Susie already had $25 and saved $40 each week. Write a system of equations to describe this situation.
Answer:
50+ 20x= y
25+ 40x= y
Explanation:
For Billy and Susie, the starting values are $50 and $25. You simply add that to the money saved per week ($20 and $40).
x= number of weeks
Please Help!!!!! A man has 10 more dimes than quarters. he has $2.75 how many of each coin does he have?
Answer:
im mexican white black indian hawaiin so yeeeee ️Step-by-step explanation:
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
Each student at school is given 7 folders on the first day of school. The number of folders
provided to students could be expressed as 7n (where n = number of students)
a) If there are 120 students in the school, the number of folders would be ___x__=____folders.
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
Will mark brainlist plz anwser
Answer:
1,740 is the width.
Can someone plz help me with this one problem plzzzzz
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Lena has started painting her room. She is down to her last can of paint. The cans of paint that she is using are 11 inches tall and have a diameter of 7 inches. How much paint does she have left if the paint is now 2 inches from the top of the can?
Question options:
134.75π in3
110.25π in3
154π in3
22π in3
Answer:
110.25π [tex]in^{3}[/tex]
Step-by-step explanation:
The can is a circular cylinder and has the formula for the volume to be
V = [tex]\pi r^{2} h[/tex]
r = 3.5 and h = 11
Since the paint is now 2 in. from the top of the can, then there are 9 in. left in the can, which means there is 9/11 of the total volume in the can.
Therefore, [tex]V = (9/11)\pi (3.5^{2} )(11)[/tex]
we get V = (9/11)(12.25)(11)π
= 110.25π [tex]in^{3}[/tex]
A family decided to add a garage onto the side of their house as shown in the picture below. Let x represent the increase in feet of the garage length. The total area can be represented by the expression 20(x + 45). Write the expanded form of this expression to represent the total area of the house and the garage.
Answer:
75
Step-by-step explanation:
87+79=75
the perimeter of a rectangle is 32 feet. the length is 3x the width. what is the length? what is the width.
Answer:
The length is 8
The width is 8
Answer:
Step-by-step explanation:
this is about algebra, and my calculus prof. says that all people struggle with algebra, so work on it :D
P = 32 ( the total )
use the formula
P = 2L + 2W
but we are told that L =3W also sooo put that into L
P = 2(3W ) + 2w
32 = 6W + 2W
32 = 8W
4 = W
so width is 4
and length is 12
:)
Circles C and D overlap. The distance from point C to point D is 7 centimeters. What is the sum of the areas of circle C and circle D? 7Pi units squared 14Pi units squared 49Pi units squared 98Pi units squared
Answer:
98π cm²
Step-by-step explanation:
A circle is a plane figure. A circle is the locus of a point such that its distance from a given point is always constant.
We can see that both circle C and circle D are equal with a radius of 7 cm.
Area of circle C = π* radius² = π * 7² = 49π cm²
Area of circle D = π* radius² = π * 7² = 49π cm²
The sum of the areas of circle C and circle D = Area of circle C + Area of circle D = 49π + 49π = 98π cm²
Answer:
c
Step-by-step explanation:
Which one is for inverse tangent?
Answer:
A
Step-by-step explanation:
i looked at my chart
Answer:
A
Step-by-step explanation:
A farmhouse shelters 15 animals. Some are goats and some are ducks. Altogether there are 42 legs. How many of each animal are there? Use the variable g to represent goats Use the variable d to represent ducks
Part A: Create a system of equations that can model this scenario.
Part B: Solve the system of equations Algebraically
Answer:g+d=152
g+2d=30
4g+2d=42
4g+2d-(2g+2d)=42-30
4g+2d-2g-2d =12 2g. =12
g=6
d+6=15
d=15-6
d=9
6 goats and 9 ducks
The number of animals are 6 goats and 9 ducks.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Number of farmhouse shelters=15
Total number of legs=42
Now,
Part A:
Let's use g to represent the number of goats and d to represent the number of ducks in the farmhouse.
We know that there are 15 animals in total, so:
g + d = 15
We also know that goats have 4 legs and ducks have 2 legs, and there are a total of 42 legs:
4g + 2d = 42
Part B:
We can solve this system of equations algebraically by using substitution or elimination.
Substitution Method:
Solve for one variable in terms of the other in one equation, and substitute into the other equation.
Solve for the remaining variable.
From the first equation, we know that:
g = 15 - d
Substitute g = 15 - d into the second equation:
4g + 2d = 42
4(15 - d) + 2d = 42
60 - 4d + 2d = 42
-2d = -18
d = 9
So there are 9 ducks in the farmhouse.
To find the number of goats, substitute d = 9 into g = 15 - d:
g = 15 - 9
g = 6
Therefore, by the unitary method the answer will be 6 goats and 9 ducks
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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Bob is 6 ft and he casts a shadow that is 3.5 ft long. A nearby building casts a shadow that is 21 ft long. How tall is the building?
Answer:
The building is 36 feet tall.
Step-by-step explanation:
6/3.5 = x/21
Cross multiply and you get:
3.5x = 126
Divide both by 3.5:
x=36
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1) Carl had nine gallons of gasoline in his motorbike. After driving 115 miles, he has three gallons
left. What is Jamie's rate of change in miles per gallon?
Answer:
asc
Step-by-step explanation:
Triangle ABC is shown below.
What is the length of line segment AC?
07
A
09
2x
3x - 7
O 14
18
B
4x - 10
с
Answer:
14
Step-by-step explanation:
3x-7=2x(isosceles triangle)
x=7
AC=3(7)-7=21-7=14
The length of the side AC in the given triangle is 14 units.
What is a triangle?A polygon with three sides, angle and vertex is called a triangle.
Given is a triangle ABC, with sides, AB = 2x, AC = 3x-7 and BC = 4x-10,
We need to find the length of AC,
According to the figure, ∠B ≅ ∠C, therefore, according to the theorem of triangles, that sides opposite to congruent angles are congruent,
Therefore, AC = AB
2x = 3x-7
x = 7
AC = 3(7)-7
AC = 14
Hence, the length of the side AC in the given triangle is 14 units.
Learn more about triangle, click;
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3⁶ x 3⁵ =
pls help i really need this
Answer:
3^11
Step-by-step explanation:
You add the 6 and the 5 to make 11.
Now you can multiply 3 to the power of 11.
So 3×3×3×3×3×3×3×3×3×3×3
Which would equal 177147.
Answer:
[tex]3^{11}[/tex] or 177147 (Depending on how you are supposed to answer)
Step-by-step explanation:
The first rule for exponents is "Product of powers rule: Add powers together when multiplying like bases". "3" is the base in this situation for both of the two values. Hence, they are common between the two of them. Therefore, we can apply this rule to the problem. If we add the exponents we get [tex]3^{11}[/tex].
Please consider giving me a Thanks, a Good Rating, and Brainliest if this answer is correct. It is greatly appreciated!
PLEASE HURRRY!!!!!!!!!!!!!
22+2y
hope it helps you ❣❣Mark me as brainliest
Answer: 11 + (2 + Y) type that in and submit
Plsssssss help i need an answer look in the pic below
Answer:
A. 120 cm²Step-by-step explanation:
10 cm x 12 cm = 120 cm²
plzzzz help reeeeeeeee
Answer:
A
Step-by-step explanation:
it goes to 4.5 then comes back down 2.5
B wouldnt be right because its negative
C wouldnt be right because they are adding 4.5 to -2.5
D wouldnt be right be right because it doesnt even look right since its going down from 0 and 2.5 is following from it
A
Step-by-step explanation:
pretty sure it's the first one due to the fact that 4.5-2.5 is 2. and it's the only answer choice showing 2.5 being taken from 4.5
What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?
Answer:
1887.6 ft³
Step-by-step explanation:
What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?
The formula for the volume of a cylinder is given as:
πr²h
From the above question,
r = 9.4 ft
h = 6.8 ft
The volume of the cylinder =
π × 9.4² × 6.8
= 1887.61966 ft³
Approximately = 1887.6 ft³
(I’m marking brainliest) plzzz help me out!!!
Answer:
14, 16, 18, 20
Step-by-step explanation:
In AMNP, what is sin M?
12
P
M
5
13
N
Answer:
A
Step-by-step explanation:
triangle ez ez and yes i am smart big brain
If eight ounces equals one cup, which expression would you use to find the number of ounces in six cups?
A 8×6
B 8+6
C 8−6
D 8÷6
Answer:
A
Step-by-step explanation:
Factor 30-20 using gcf
Answer: 10
Step-by-step explanation:
the equations in the triangle consist of (2x +1) and (5x +5)
Jayla and Hailey were paying a dinner check, but they were not sure how much they should tip for their bill of $25.50. If a 12% tip is standard, about how much should they leave for the server?
Answer:
tip total $4
tip per person $2
total (bill plus tip) $29.
total each person $15
Step-by-step explanation:
If you are given a quadratic equation explain how you would know whether or not the roots are imaginary
Answer:
depends what u get in the roots whether the number is [tex]\sqrt{9} or \sqrt{-9}[/tex]
if it is square root -9 its gonna be 3i compared to just 3
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation: