Answer:
(x + 2)(3x + 4)
Step-by-step explanation:
3x² + 10x + 8
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 8 = 24 and sum = + 10
the factors are + 6 and + 4
use these factors to split the x- term
3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )
= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 4) ← in factored form
[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]
[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]
Done!
A circle has a diameter of length 11 cm. What is the length of the radius?
5.5
Step-by-step explanation:
radius = diameter÷2
diameter = 11
so Length of Radius will be 11÷2
which will be 5.5
Find the binomials that created the generic rectangle below.
Nikki use some cloth to make a miniature tent, as shown in the figure. How much cloth did she use to make the tent?
A.
61 square inches
B.
140 square inches
C.
272 square inches
D.
296 square inches
E.
300 square inches
Answer:
D. 296 square inches
Step-by-step explanation:
The surface area of a prism is the total area of all its faces.
A triangular prism has three rectangular faces and two triangular faces.
As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthFrom inspection of the diagram:
⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²
⇒ Area of a rectangle = 8 x 10 = 80 in²
Total surface area
Total surface area = 3 rectangle areas + 2 triangle areas
= (3 x 80) + (2 x 28)
= 296 in²
Answer:
296
Step-by-step explanation:
have a great day
I need this answered please
Answer:
54
Step-by-step explanation:
1, 3, 5, and 7, all have the same angle size: 126 so we can use this to find 6 and 8 :)
180 - 126 =54
6 and 8 would both equal 54 :)
Have a great day!!
Please rate and mark brainliest!!
1. Find the length of X and Y:
2. Find the area of the equilateral triangle:
Step-by-step explanation:
1)
[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]
[tex] \frac{x }{1} = \frac{10}{2} [/tex]
[tex]x = 5[/tex]
In right Angles traingle
By using Pythagoras theorm
we get
x²+y²=10²
25+y²=100
y²=75
y=5√3
x=5,y=5√3
2)
Area of equilateral traingle =
[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]
required area
[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]
[tex] \frac{36 \sqrt{3} }{4} [/tex]
[tex]9 \sqrt{3} [/tex]
17. There are 147 people at a tree-planting
event. They break into groups of 3 people
to plant trees. How many groups are
formed?
Answer:
147/3=49
49 groups
Step-by-step explanation:
Find the equation of the line that passes through (-1,-3) and is perpendicular to
2y=x−3
Leave your answer in the form y=mx+c
Answer:
y = -2x - 5
Step-by-step explanation:
2y = x - 3
y = 1/2x - 3/2
gradient = 1/2
perpendicular gradient = negative reciprocal = -2
y = -2x + c
(-3) = -2(-1) + c
-3 = 2 + c
-5 = c
Answer:
y = -x/2 - 7/2
Step-by-step explanation:
Equation of the line (current) in y = mx + c
2y = x - 3y = x/2 - 3/2The slope of a perpendicular line has to be -ve to the current line.
⇒ m' = -1/2
To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :
y - y₁ = m (x - x₁)
y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]
y + 3 = -1/2
y = -7/2
Therefore, the new equation is :
y = -x/2 - 7/2Given:
f(x)=x^2
g(x)=x-1
Find f(g(2))+g(f(-1))
Answer:
1
Step by step explanation:
[tex]\text{Given that,} ~ f(x) = x^2~ \text{and}~ g(x) = x-1\\\\g(2) = 2-1 = 1\\\\g(f(-1)) = g(1) = 1-1 = 0\\\\f(g(2) + g(f(-1)))= f(1+0) = f(1) = 1^2 =1[/tex]
Answer:
g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\
[tex]g(2) = 2 - 1 = 1 \\ f( -1 ) = { - 1}^{2} = 1 \\ f(1) + g(1) = \\ f(1) = {1}^{2} = 1 \\ g(1) = 1 - 1 = 0 \\ 1 + 0 = 1 \\ [/tex]
Jabrin was tossing a ball up in the air and catching it. He found that in 50 tries, he could catch it 45 times. He is going to do this 33 more times. Predict how many times Jabrin will catch the ball out of these 33 tosses.
What is the exact prediction? What is the realistic prediction?
Answer:
As the question states, predict how many times. I don't get the "realistic" prediction part, but however,
he caught it 9/10 times. I can predict he will catch it 29.7 times, rounded to 30 times.
I need this answered
g(x)=4x+4
[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]
The sum of the areas of two circles is 80n square meters. Find the length of a radius of each circle if
one of them is twice as long as the other.
27
GO
What is the radius of the larger circle?
Answer:
8 meters.
Step-by-step explanation:
Let the 2 radii be x and 2x, then
π x^2 + π (2x)^2 = 80π
π x^2 + π 4x^2= 80π
x^2 + 4x^2= 80
5x^2 = 80
x^2 = 16
x = 4.
So the radius of the larger circle = 2*4 = 8 m.
Jalece and Kaylyn are making brownies and muffins for a bake sale. They make 40 more muffins than brownies. They made a total of 126 sweet items for the sale. How many of each type of baked good did they make?
I really don't know I hope you can figure it out
Answer: 43 brownies and 83 muffins.
Step-by-step explanation: There are 126 sweet items in total. Jalece and Kaylyn make 40 more muffins than brownies, which means that there are more muffins than brownies. Let's try 83 muffins and 43 brownies to see if it suits what we need. With 83 muffins and 43 brownies, there are 40 more muffins than brownies, so that's correct. 83 and 43 also add up to 126, which is the total that we need.
Therefore, there are 43 brownies and 83 muffins.
Let me know if this is right! :)
According to the image below, which season is about to begin in the southern hemisphere?
O Summer
O Autumn
O Winter
O Spring
Answer:
Step-by-step explanation:
this would be summer. because i took le test puddin -Love harley
A rental car costs $15 a day plus 25 cents for each mile driven. Which
expression shows the cost to rent a car for 1 week and drive 200 miles?
A. (15.25 x 7) + 200
B. (0.25 x 7) + (15 x 200)
C. (15 x 7) + (0.25 x 200)
D. 15 + (0.25 x 200
The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)
The problem can be modelled to a linear equation.
Linear equationLinear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
y = total cost of the rental
x = mile driven
Hence,
y = 0.25x + 15
Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:
(15 × 7) + (0.25 × 200)learn more on linear equation here: https://brainly.com/question/1550434
Jerome is writing a number in scientific notation. The number is greater than one million and less than ten million. What will be the exponent in the number Jerome writes?
Answer:
6 will be the exponent
Step-by-step explanation:
1 million has 6 zeros
10 divided by 3.95 times 67=3?
Answer: (Decimal: x = 0.99746…)
Step-by-step explanation:I need help finding the value of x.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
According to given figure,
[tex]\qquad \sf \dashrightarrow \:x + 68 = 174[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 174 - 68[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 106 \degree[/tex]
Alex ate 4 less the 2 times the slices of pizza that Oliver ate.If Oliver ate 8 slices of pizza how many slices did alex eat?
Answer: 12
Step-by-step explanation: 2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.
Someone please help!!!!
Answer:
=
Step-by-step explanation:
quadratic values always set to 0 due to the x-intercept which you find from the equation
Joshua started working on his Math project at 4:25 p.m. He finished by 5:25 p.m. How many minutes did he work on his project?
A. 80 minutes
B. 70 minutes
C. 60minutes
D. 50 minutes
30. Pis does her workout for 50 minutes every day. Today, she started at 6:30 m. At what time will she finish?
A. 7:15 a.m.
B. 7:20 a.m.
C. 7:30 a.m.
D. 7:35 a.m
31. Find the circumference of a circular lot whose diameter is 9 m.
A. 25.26 m
B. 27.26 m
C. 28,26 m
D. 30.26 m
32. Find the circumstance of a circular whose radius is 30m.
A. 188.40 m
B. 188.30m
C. 188.20 m
D. 188m
how to work out 4.2 × 0.03. Show the working not the answer straight! Show how you got the answer.
Answer:
1.26
Step-by-step explanation:
To solve 4.2*0.03, you move the decimal point to the right however many times to both numbers until they are whole numbers.
Doing this, we have 420*3, which took 3 decimal point shifts, so now we do 420*3 to get 1260, and then go 3 decimal places to the left to get the actual answer.
Thus, 4.2*0.03=1.260=1.26
It took Azul 1.75 hours to bike The Blue Mountain Trail
Azul averaged 12.5 miles per hour. What is the best
estimate for the length of the trail?
AnsweA jar contains 15 red marbles, 30 blue marbles, 10 green marbles, and 35 orange marbles. Find the probablilty of picking a green marble.r:
Step-by-step explanation:
6. Higher Order Thinking Vincent forgot the last two digits of his bicycle lock.
He remembers that each digit is 5 greater. Based on the table below, how
many possible pairs of digits are there? Make another table to show
all possible combinations if he remembers that the first digit is 6, 8, or 9.
Help pleasee!
The number of possible combinations is an illustration of principle of counting
There are 15 possible pairs of possible combinations
How to determine the number of possible combinations?
From the question, we understand that the first digit is 6, 8 or 9.
This means that the new table would not have entries that begin with 5 or 7.
The table is then represented as:
6 8 9
5 65 85 95
6 66 86 96
7 67 87 97
8 68 88 98
9 69 89 99
Count the number of entries
Entries = 15
Hence, there are 15 possible pairs of possible combinations
Read more about combination at:
https://brainly.com/question/11732255
Write an equation in slope intercept form for the like with
y-intercept -4 and slope 6
Answer: y=6x-4
Step-by-step explanation: see attached.
(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:
a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.
Step-by-step explanation:
Use the graph to dtermine the answer for each part of question
a)
H(0) = 5b)
H(t) = 0 has no solution as its minimum value is 5 feetc)
The domain all positive rational numbers, since time is zero or positive.d)
The range changes between 5 and 55 feet, according to the graph.Answer:
a. 5 ft
b. No - see below
c. [0, ∞)
d. [5, 55]
Step-by-step explanation:
From inspection of the graph:
x-axis: t = time (in seconds)y-axis: H(t) = height (in feet)Part a
When H(0), t = 0 ⇒ y-intercept.
Therefore, from inspection of the graph, H(0) = 5 ft
Part b
H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).
Part c
Domain: set of all possible input values (x-values)
The domain is time (t) (x-axis), therefore the domain is [0, ∞)
Part d
Range: set of all possible output values (y-values)
From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55. Therefore, the range is [5, 55]
iready help me pleeeaseeeee
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
24/5
Decimal Form:
4.8
Mixed Number Form:
4 4/5
Question 13 options:
What is the slope of the line of the graph?
Answer:
Step-by-step explanation:
To find the slope, pick any two points fromthe line.
(2,2) & (0,-4)
x₁ = 2 & y₁ = 2
x₂ = 0 & y₂ = - 4
[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]
Slope = 3
At y-intercept x = 0.
From the graph, y-intercept = -4
Equation of the line: y = mx + b
y = 3x - 4
The probability of flipping 3 heads on 2 fair
coins would be considered:
A. Likely
B. Certain
C. Unlikely
D.impossible
Answer:
impossible? you have only 2 coins
Answer:
I'm going to assume you mean 3 fair coins. The probably would be 1/8, so unlikely.
Step-by-step explanation:
Please Help!!
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
cosZ = [tex]\frac{12}{37}[/tex]
Step-by-step explanation:
cosZ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{37}[/tex]
translate the triangle 3 to the right and 2 down
Answer:
Step-by-step explanation:
There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.