Answer:
(x + 1) (x + 2)
Step-by-step explanation:
x² + 3x + 2
We can Split the Middle Term of this expression to factorise it
In this technique, if we have to factorise an expression like ax² + bx + c,
we need to think of 2 numbers such that:
N₁ · N₂ = a · c = 1 · 2 = 2
And,
N₁ + N₂ = b = 3
After trying out a few numbers we get N₁ = 2 and N₂ = 1
2 · 1 = 2 and 2 + 1 = 3
x² + 3x + 2 = x² + 2x + x + 2
x (x + 2) + 1 (x + 2)
(x + 1) (x + 2) , is the factorized form.
Answer:
(x+2)(x+1)
Step-by-step explanation:
[tex]x^{2} +3x+2[/tex]
→Multiply the first and last term's coefficient =1×2=2
Now,
→Factors of 2=2,1
→Using 2 and 1 we must add up to 3
Now we get,
[tex]\hookrightarrow x^{2} +3x+2\\\\\hookrightarrow x^{2} +2x+x+2[/tex]
Here when we add 2x and x we get 3x.
Now,
Take common x from x²+2x as well as 1 from x+2
Then we get,
[tex]\hookrightarrow x^{2} +2x+x+2\\\\\hookrightarrow x(x+2)+1(x+2)\\\\[/tex]
Here, x+2 is common. So we can write both of them as one.
[tex]\hookrightarrow (x+2)(x+1)[/tex]
And it is our final answer.
Hence, the final factors are (x+2)(x+1)
(бх -Зу = 9
Solve y=2x-5
-
Answer:
6x-3(2x-5)=9
6x-6x+15=9
15=9
no sollution
Find all real numbers x such that
3x - 4 >5 and 8x - 19 < 21
Answer:
Answer:
1) x>3
2) x<5
hope this helped
what digit is in the ten thousand place in 796,142 what is the answer
Answer:
9
Step-by-step explanation:
So,
2 is in the units,
4 is in the tens,
1 is in the hundreds,
6 is in the thousands,
9 is in the ten thousands, and
7 is in the hundred thousands.
I hope this is helpful xx
Answer:
9 is in the ten thousands place.
Contort 39 to base five
help please, i don’t understand this question
help me guys pls pls pls
HELP ME OUT PLS!!!!!
What is the volume of this cone? Use 3.14 for and round your answer to the nearest tenth. In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it. (Note: type out all of your work AND type out your explanation for FULL credit.)
We observe that the
height of the cone is 8 in.
radius of the cone is 2 in.
Volume of a cone = 1/3 π r² h
where R = radius and h = height
Using the formula we get :
Volume = 1/3 π 2 × 2 × 8
= 32 / 3 π cm³
= 33.5 cm³ ( rounded to 10)
Find the area of the plane figure :
Answer:
99.9 [tex]cm^{2}[/tex]
Step-by-step explanation:
Given, AB=13 cm, BC=4 cm
AC is the diagonal of parallelogram ABCD.
Also AC=16 cm
We know, △ABC≅△ACD [S−S−S Congruence]
Also, area of parallelogram ABCD = Area of △ABC + Area of △ACD
= 2 × Area of △ABC
= [tex]2\sqrt{s(s-13)(s-4)(s-15)}[/tex]
[tex]s= \frac{13+15+4}{2}[/tex] = [tex]2\sqrt{16(16-13)(16-4)(16-15)}[/tex]
= 16 = 99.9
what the answer to this?
Answer:
1/5
Step-by-step explanation:
jack + 4 friends = 5 people
5 people would each get 1 slice
The equation c= 0.20t +3.50 shows the relationship between the charge, c in dollars, for renting a kayak for t minutes.
What is the meaning of the y-intercept?
O For So you can rent a kayak for 3.5 minutes.
It costs $3.50 per minute to rent a kayak
Every 3.50 minutes you have to pay $1.00
O You have to pay $3.50 up front before using the kayak.
Answer:
You have to pay $3.50 up front before using the kayak
Write an algebraic expression for the following word phrase. The quotient of 69 and x
Hello!
_____
The quotient of two numbers means we divide one number by another number.
Example :-
The quotient of 6 and a number:-
6÷x
According to the example above, the algebraic expression looks like so:-
69÷x
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Car A travels at a rate of 45 miles per hour.
Car B travels at a rate of 80 miles in 2
hours. Find the unit rate of each car. Which
car is traveling faster?
Unit rate in this case denotes to distance traveled in miles per hour.Indirectly it denotes to speed
#Car A
Speed=45mph#Car B
Speed=Distance/Time=80/2=40mphAs we can observe
car A is traveling faster
What is the probability of getting a number greater than 2 on two rolls of a six-sided die both
times?
a. 2/6
b.4/6
c.4/3
d.3/6
e.4/9
Answer:
[tex]Probability = \frac{4}{9} [/tex]
Given:
The die was rolled twice having six sides,
To find:
probability of getting a number greater than 2 =?
solution:
The probability of getting a number greater than 2 on single roll =
[tex] \frac{4}{6} = \frac{2}{3} [/tex]
Similarly on second roll the probability would be
[tex] \frac{2}{3} [/tex]
Since two events are occurring together, the total probability of finding number greater than 2 in both rolls =
[tex] \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} [/tex]
Thanks for joining brainly community!
What is the equation of the following linear funchon?
Answer:
3x+8
Step-by-step explanation:
linear function formula ax+b
when x=3 3a+b=17 and when x=6 6a+b=26
3a=9 a=3,
when x=3 3.3+b=17 9+b=17 b=8
3x+8
I need help with a math problem
Answer:
a) meters
b) liters
c) kilograms
Step-by-step explanation:
Hope it helps you in your learning process.
how to draw a line of best fit and calculate it?
A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line.It is used to study the nature of relation between two variables.
Solution:
Draw a line through the maximum number of points, balancing about an equal number of points above and below the line. Make sure the number points above and below the line are almost same
If a certain recipe takes 1 1/2 cups of flour and 2 cups of milk, how much milk should be added if the cook only has 1 cup of flour?
Answer:
1 1/3 cups of milk
Step-by-step explanation:
In our recipe
For every 1 1/2 cups of flour we need 2 cups of milk
then the flour and milk are two proportional quantities
1 1/2 ————-> 2
We know that 1 1/2 = 1/2 + 1/2 + 1/2 then
1/2 + 1/2 + 1/2 ————-> 2
Then (we divide both sides by 3)
1/2 ————-> 2/3
Then (we multiply both sides by 2)
1 ————-> 4/3
finally , 4/3 = 1 1/3
need help with this math hw
For the given equation, the center will be (1, -3) and the radius will be 3.
Correct option is (3)
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the center.
As per the given data:
Equation of the circle is [tex](x - 1)^2 + (y + 3)^2 = 9[/tex].
For a circle with equation [tex](x - a)^2 + (y - b)^2 = r^2[/tex]
The center is given by (a, b) and the radius is given by r.
Similarly comparing with the equation [tex](x - 1)^2 + (y - (-3))^2 = 3^2[/tex].
The center will be (1, -3) and the radius will be 3
Hence, For the given equation the center will be (1, -3) and the radius will be 3.
To learn more about circle, click:
brainly.com/question/11833983
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need help asap 5 + 4 – (10^2 – 8 × 3) × 4 simplified into a group portion going on a plane in a hour need help fast
Answer:
-295
Step-by-step explanation:
10^2=100
8x3=24
100-24=76
76x4=304
5+4=9
9-304=-295
A line passes through the point(5,-6) and has a slope of -2 .
Answer:
Possible answers (6,-8) and (4,-4)
Step-by-step explanation:
These two possible answers show the line has a slope of -2
[tex]3\sqrt{x} 6-4\sqrt{x} 6[/tex]
i need help with this problem this is radicals can you please explain to me how to do this it would be very helpful
Someone help. I don’t understand the question.
Answer:
9.9[tex] \: [/tex]
Step-by-step explanation:
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]
Here,
The base is 13.2The perpendicular is aThe hypotenuse is 16.5[tex] \: [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (13.2) {}^{2} + (a {)}^{2} = (16.5) {}^{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 174.24 + (a {)}^{2} = 272.25 }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 272.25 -174.24}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (a {)}^{2} = 98.01}}} \\ \\ \\ {\longrightarrow \pmb{\sf {\qquad a = \sqrt{98.01}}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad a = 9.9}}} \\ \\[/tex]
Therefore,
The length of the missing side of the right triangle is 9.91. Solve the following equations for x:
a. X - 9 = -21
b. 10 + x = 112
C. 14 = x - 30
d. 12 - x = 3
Answer:
A. X=-12B. X=102C. X=44D. X=15Step-by-step explanation:
Isolate the term of x from one side of the equation.
Part A. x-9=-21First, add by 9 from both sides.
x-9+9=-21+9
Solve.
-21+9=-12
X=-12
Part B. 10+x=112Switch sides.
x+10=112
Subtract by 10 from both sides.
x+10-10=112-10
Solve.
112-10=102
X=102
Part C. 14=x-30Switch sides.
x-30=14
Add by 30 from both sides.
x-30+30=14+30
Solve.
x=44
Part D. 12-x=3Switch sides.
x-12=3
Add by 12 from both sides.
x-12+12=3+12
Solve.
Add the numbers from left to right.
3+12=15
x=15
Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.I hope this helps you! Let me know if my answer is wrong or not.
Mr. Walters asked his students to order 89, 708, 37, and 93 from least to greatest, and to be ready to explain the process they used to order the numbers.One student, Brianna, ordered the numbers correctly, and when Mr. Walters asked her to explain her process, she said, “The numbers 89, 37, and 93 are less than 100, so they are all less than 708, since that is greater than 100. Also, 37 is the least because it comes before 50 and the other two numbers are close to 100. Then 89 is less than 90, but 93 is greater than 90.”Which of the following best describes the strategy on which Brianna’s explanation is based?
Write an equation of the line with a slope of -3 and y -intercept of 0 .
y=
Answer:
y=-3x
Step-by-step explanation:
Find the area of the right triangle
Answer:
Formula for area of a triangle;
A = BH x 1/2
B = The base
H = The height
1/2 = Half of the product of (base x height)
We first need to figure out the base of this triangle, so count the units across from the base of this triangle.
The base is 4 units.
Now we need to find out the height, so count the units above starting from the base of this triangle and to the end of this triangle.
The height is 7 units.
Now plug these values into our equation:-
A = BH x 1/2
A = 4(7) x 1/2
A = 28 x 1/2
A = 28/2
A = 14, the area of this right triangle is 14 square units.
PLEASEE HELPPP!!!!
The area of a rectangle is 140 square inches. The
perimeter of the same rectangle is 48 inches. What
are the length and width of the rectangle?
Answer:
Length can be 14 - 10 inches
Width can be 10 - 14 inches
Lois made a dish with 3 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Lois made?
Answer:
8 3/4
Step-by-step explanation:
because each serving is 04 cups all you need to do is divide 3 1/2 by 0.4.
first convert 3 1/2 into decimal which would be 3.5. then divide 3.5 by 0.4
3.5/0.4
=3.5x10/0.4x10
=35/4
=8 3/4
Given the following functions, evaluate each of the following:
Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
What is the equation of the line that passes through the point (-6, -3) and has a
slope of 0
Answer:
Answer: the equation of the line is y=−3.
Step-by-step explanation:
Since the slope equals 0, then the line is horizontal.
This means that the equation of the line doesn't contain x.
Thus, the equation of the line is y=−3.
