The expression 2x^2+5x-12 is equivalent to which of the following?
a
(2x-3)(x+4)
b
(x+3)(2x-4)
c
(2x-3)(2x+2)
d
(2x+3)(x-4)
Answer:
letter D
Step-by-step explanation:
2
x
2
−
5
x
−
12
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
2
⋅
−
12
=
−
24
and,
N
1
+
N
2
=
b
=
−
5
After trying out a few numbers we get:
N
1
=
−
8
and
N
2
=
3
3
⋅
(
−
8
)
=
−
24
, and
3
+
(
−
8
)
=
−
5
2
x
2
−
5
x
−
12
=
2
x
2
−
8
x
+
3
x
−
12
=
2
x
(
x
−
4
)
+
3
(
x
−
4
)
(
x
−
4
)
is a common factor to each of the terms
=
(
2
x
+
3
)
(
x
−
4
)
Answer:
a see below for explanation
Step-by-step explanation:
2x^2 + 8x - 3x - 12
2x^2 +5x - 12
A room has a perimeter of 40 feet. The length is 4 less than 2 times the width. What are the dimensions of the room?
Answer:
First, develop an equation for this scenario. The formula to find the perimeter of a quadrilateral is 2l+2w. Because the length is 4 less than twice the width, this would be translated to (2w-4). Plug this into the variable for the length to get 2(2w-4)+2w=40. Distribute the 2 to get 4w-8+2w=40. Add the like terms to get 6w-8=40. Add 8 to both sides and get 6w=48. Divide 6 to result with w=8.
Now that we know w, we can substitute 8 into the variable to solve for the length. 2l+2(8)=40. Multiply 8 and 2 to get 2l+16=40. Subtract 16 to both sides to get 2l=24. Divide 2 to both sides to result with l=12.
Length = 12 feet
Width = 8 feet
PLZ HELP ME LLZ I WILL DO ANYTHING
Answer:
X=45
Step-by-step explanation:
45+3x=180
180-45=135
135/3=45
x has to be 45
x=45
Which number makes the equation true?
blank divided by eighteen equals one third
Question 13 options:
32
24
12
6
Answer:
6
Step-by-step explanation:
x/18 = 1/3
3x = 18
x = 6
Melanie earns $7.40 per hour working at a grocery store. She works 14.25 hours this week. How much does she earn this week?
Answer:
$105.45
Step-by-step explanation:
$7.40 x 14.25 = $105.45
She earns $105.45 after working for 14.25 hours.
please simplfy 7x + 6 + 3x – 2 – 5x
Answer:
5x+4
Step-by-step explanation:
Answer:
5x + 4
Step-by-step explanation:
7 + 3 - 5 = 10 - 5 = 5x
6 - 2 = 4
5x + 4
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answer:
The first option.
Step-by-step explanation:
plzz hellpldppdopbdjdj
Answer:
78 squared feet
Step-by-step explanation:
area= base x height
so 6 x 13 = 78
and yeah
HOPE I HELPED:))
your answer is 91 square feet
Does the point (6, 0) satisfy the equation y = x + 6?
yes or no
Answer:
No.
Step-by-step explanation:
You have to replace the (6,0) with the equation at hand. So, since 6 is in the X spot and 0 is in the Y spot, the equation would then look like 0=6+6. The equation is false as you can see.
No, this point does not lie on the line y = x + 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the equation of line as -
y = x + 6
For point (6, 0), we can write -
0 = 6 + 6
0 ≠ 12
Therefore, no, this point does not lie on the line -
y = x + 6
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
The part that's cut off it says To the nearest tenth of a percent, what's percent...
and is the answer 3.3?
Answer:
Yes you are correct.
Please please help asap!!! I will mark brainliest!!!
Answer:
The other angle is 63 if it is asking what I think it is asking
Step-by-step explanation:
If it is right can you mark brainliest
Answer:
63 or 72
Step-by-step explanation:
Some one answer this thanks
Answer:
1,2,5 equal 32
Step-by-step explanation:
Answer:
(2³×4)+(11-11)5
4²×2
2^5
Step-by-step explanation:
(2³÷4)+(11-11)5
=(8×4)+0
=32
4²×2
=16×2
=32
2^5
=2×2×2×2×2
=4×4×2
=16×2
=32
A teacher can grade 10.5 tests every 30 minutes. How many tests can they grade in two 45 minute prep periods?
Answer:
31 tests.
Step-by-step explanation:
The rate for the grading is 10.5 every 30 minutes.
Two 45 minute prep periods are 90 minutes.
90 / 30 = 3.
Since three 30 minute periods fit into 90 minutes, we get
3 x 10.5 = 31.5 tests.
Since a teacher did not finish grading the .5 of the test, we don't count it.
Our answer is 31 tests.
The table shows the participation in a school’s debate club during the last four years. Year 1 2 3 4 Students 14 19 25 33 Between which two years did the club see the greatest growth? By what percent did it grow? Round to the nearest percent. Use the drop-down menus to show and explain your answer. The greatest growth was between years Choose... and Choose... . The growth between those years was about Choose... .
Answer:
Year 1 and 2
36%
Step-by-step explanation:
Given the data :
Year ______1 ___ 2 ____ 3 ___ 4
Students __ 14 __ 19 ___ 25 __ 33
Greatest growth is observed between year 1 and 2
Growth percent :
(year 2 - year 1) / year 1 * 100%
(19 - 14) / 14 * 100%
5 / 14 * 100%
0.3571 * 100%
= 35. 71%
= 36%
The growth percent between year 1 and 2 is greater than between the other years
Year 2 and 3 = (6/19) * 100% = 31.57%
Year 3 and 4 = (8/25) * 100% = 32%
Answer:
1 and 2 x=32%
Step-by-step explanation:
1. 5/14=x/100
2. 500/14=14x/14
so you get 36%
BTW the quiz 3-4 and 3-5 sucks lol
can someone please help me I only have a few minutes
Answer:
(x + 8)(y - 3)
Step-by-step explanation:
Since you have a few minutes left, I will make this quick.
Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.
If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)
I REALLY NEED HELP!!!!
Answer:
1 2/8 inches
Step-by-step explanation:
smallest = 2/8
largest = 1 4/8
difference = 1 2/8
1 point
8. Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above
4. Find the area of the
shaded region.
Diameter of the circle in the middle = 8 ft
Radius of the circle in the middle :
[tex] =\tt \: \frac{Diameter }{2} [/tex]
[tex] =\tt \frac{8}{2} [/tex]
[tex] =\tt 4 \: ft[/tex]
Thus, the radius of the circle in the middle = 4 ft
Area of the entire circle :
[tex] =\tt \pi {r}^{2} [/tex]
[tex] = \tt3.14 \times 4 + 6 \times 4 + 6[/tex]
[tex] = \tt3.14 \times 10 \times 10[/tex]
[tex] =\tt 3.14 \times 100[/tex]
[tex]\color{plum} = \tt314 \: ft[/tex]
Thus, the area of the entire circle = 314 ft
Area of the circle in the middle :
[tex] =\tt \pi {r}^{2} [/tex]
[tex] =\tt 3.14 \times 4 \times 4[/tex]
[tex] = \tt3.14 \times 16[/tex]
[tex]\color{plum} =\tt 50.24 \: ft[/tex]
Thus, the area of the circle in the middle = 50.24 ft
Area of the shaded portion :
= Total area of the figure - Area of the circle in middle
[tex] =\tt 314 - 50.24[/tex]
[tex]\color{plum} =\tt 263.76 \: ft[/tex]
▪︎Therefore, the area of the shaded portion = 263.76 ft
I need help this question is due in 20 minutes
Answer:
20,067.68
All I did was 23,200 and minus $195.77 15 times! Your welcome.
solve for x
103.5
4.7
55.0
Answer:
It will be the first one
Step-by-step explanation:
Hope this Helped
please help this is algebra II
Answer:
m=5
Step-by-step explanation:
What kind of solution does the equation have? - 13 = 5(1 + 4m) - 2m
Answer: = − 1
Step-by-step explanation:
a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materials cost 12.50 per meter
Answer:
78.6m of fencing
That would cost $982.50
Step-by-step explanation:
Perimeter: 2(22.7)+2(16.6)=P
P = 78.6
Cost: 78.6*12.50
C = 982.50
a^2 + 6=
a=5
Evaluate
Answer:
31
Step-by-step explanation:
[tex]a^{2} +6=?[/tex]
[tex](5)^{2} +6=?[/tex]
[tex]25+6=?[/tex]
=31
Ben is standing 8 feet from
the base of a telephone pole.
The angle of elevation from the
point on the ground where he is
standing to the top of the pole
is 62°. Find the height of the
telephone pole. Round to
the nearest tenth.
Answer:
Approximately 15.05 ft
Step-by-step explanation:
You need to use tangent for this question.
Since tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
to find the Opposite, we need to rearrange the equation to:
Adjacent × tan θ = Opposite.
So if you insert 62 for θ and 8 feet for Adjacent, you will get:
8 × tan(62) = Opposite.
and you will get approximately 15.05 feet for your Opposite side
Evaluate 9 - nº when n = 2.
Answer:
answer is 8
Step-by-step explanation:
1. simplify the following fractions: 12/36
Answer:
1/3
Step-by-step explanation:
12/36 = 6/18 = 3/9 = 1/3
Help me please!!!! I really need help ty!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Write an algebraic expression for three times the quantity q minus eleven
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answer:
So what is the question? probably to describe the polynomial 10v^2 + 50. okay. the polynomial is a quadratic (it is to the 2nd power) and a binomial (2 terms).