Answer:
(2x-3)(2x+1)
Step-by-step explanation:
4x^2 - 4x - 3
we need two numbers that give 12 when multiplied and 4 when subtracted
the numbers are 6 and 2 because 6*2=12 and 6-4=4.
4x^2 - (6-2)x -3
4x^2 -6x +2x -3
take common
2x(2x -3)+1(2x-3)
take (2x-3) as common
(2x-3)(2x*1 + 1*1)
(2x-3)(2x+1)
Given the triangle below, what is the measure of x to the nearest foot?
Answer:
18 ft
Step-by-step explanation:
Since the triangle is right angled ; we could use trigonometry ;
Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x
Cos θ = Adjacent / hypotenus
Cos 40 = 14 / x
0.7660444 = 14 / x
0.7660444x = 14
x = 14 / 0.7660444
x = 18.27
= 18 ( nearest foot)
Help me please???!!!!!!!
Answer:
im not sure
go on volume calculator
Step-by-step explanation:
In base 2, what is the value of 1011₂ + 10111₂
1011₂ + 10111₂
= (1000₂ + 10₂ + 1₂) + (10000₂ + 100₂ + 10₂ + 1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 2 (1₂)
= 10000₂ + 1000₂ + 100₂ + 2 (10₂) + 10₂
= 10000₂ + 1000₂ + 100₂ + 100₂ + 10₂
= 10000₂ + 1000₂ + 2 (100₂) + 10₂
= 10000₂ + 1000₂ + 1000₂ + 10₂
= 10000₂ + 2 (1000₂) + 10₂
= 10000₂ + 10000₂ + 10₂
= 2 (10000₂) + 10₂
= 100000₂ + 10₂
= 100010₂
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
How much of the 15% alcohol solution should Bruce use?
Answer:
10% = 30 15% = 20
Step-by-step explanation:
_
Find the inverse of f(x)
Answer:
[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]
What is the exact value of the trigonometric ratio of tan-240 degrees?
Simplify (-4a^5b) (2a^2b)
Answer:
[tex]-8a^{7b}[/tex]
Step-by-step explanation:
[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]
[tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]
11. The length of a rectangle is decreased by 25%
and the width is increased by 40%. Calculate
the percentage change in the area of the
rectangle.
Answer:
Step-by-step explanation:
given.quesion.
The length of a rectangle is decreased by 25% and the width has increased by 40% calculate the percentage change in the area of the rectangle
to. find.
area of the rectangle
given
decreased. 25•/•
increased.40•/•
solusion
Length = L
Breadth = B
Original area = L x B
New area = A = L x (1 - 25%) x B x (1 + 40%)
A = L x B x 0.75 x 1.40 = L x B x 1.05
Therefore the area of the rectangle has increased by 5%.
required answer.
5•/•
answer. with. explamation. in. attachment.
hope. it's. helps. you.
What’s the answer?? To question 4
Answer:
jkjkjkjkjkjk
Step-by-step explanation:
jkjkjkjkjkjkj
Angle measurements 84 degree help find out what’s the other side degree
Answer: 84 degrees
Step-by-step explanation: because of corresponding angles
pls help me with this maths equation
Answer:
Step-by-step explanation:
given :
y = 120 degree
z = 57 degree
angle x = ?
first lets find angle c in triangle BDC
angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)angle C + 57 = 120
angle C = 120 -57
angle C = 63 degree
Now lets find angle B in triangle BDC
angle B + angle C + z = 180 degree (sum of interior angles of a triangle)
angle B + 63 + 57 = 180
angle B + 120 = 180
angle B = 180 - 120
angle B = 60 degree
now for angle x
angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)
60 + 57 = x
117 = x
Can someone pls give me the answer to this?
it would be 10
Step-by-step explanation:
once you solve the problem which should equal up to 3000 then you would divide 30000÷3000 and get the answer of 10
A T.V. is regularly priced at $600, but it is on sale for 20% off. What's the sale price?
Answer:
$480
Step-by-step explanation:
multiply the normal price $600 by 20 then divide it by one hundred
the discount is $120
the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.
Answer:
Step-by-step explanation:
Method 1: Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80. We get $480 as the sale price.
Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120. Then subtract this discount from the regular price, $600, obtaining $480.
The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%
Answer: %27
Step-by-step explanation: 90/338 x/100
90x100=9000
9000/338=%27
Which describes the correlation shown in the scatterplot
Jaiver bought a new TV for 479.76. He will make equal payments each month for 2 years . Estimate each payment.
Answer:
$19.99
Step-by-step explanation:
There are 12 months in a year, so in 2 years, there are 24 months.
Find how much each payment will be by dividing the cost by 24:
479.76/24
= 19.99
So, each payment will be $19.99
The diameter of a strand of rope is 1.2 ×10^-3 inch. The diameter of a strand of floss is 2.0 ×10^-4 inch.
How much longer is the diameter of the strand of rope than the diameter of the strand of floss?
A. 2.0 ×10^-7 inch
B. 1.0 ×10^-7 inch
C. 2.0 ×10^-3 inch
D. 1.0 ×10^-3 inch
Answer:
D. 1.0 x 10^-3
Step-by-step explanation:
1.2 ×10^-3 = .0012
2.0 ×10^-4 = .0002
.0012
.0002
_______
.0010 = 1.0 x 10^-3
Answer:D
Step-by-step explanation:
Solve the system of equations.
3x – 7y = 5
9y = 5x + 5
9
State the various transformations applied to the base function f(x) = [x] to obtain a graph of the function g(x) = -[x]+2
A reflection about the x-axis and a vertical shift upward of 2 units.
A reflection about the y-axis and a vertical shift downward of 2 units.
A reflection about the y-axis and a vertical shift upward of 2 units.
A reflection about the x-axis and a vertical shift downward of 2 units.
Answer:the answer is B
Step-by-step explanation:
Need help with figuring out this zingoes problem asap, willing to give brainliest!
Answer:
The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes
Step-by-step explanation:
As far as I can tell, all the correct examples are
1) Symmetrical
2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)
The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line
(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)
Help me please ASAP tysm
Answer:
2/3 ft
Step-by-step explanation:
area of triangle =base*height/2
2/5=base*6/5/2
2/5 *2 =base * 6/5
4/5 =base*6/5
4/5÷6/5=base
4/5 * 5/6=base
20/30=base
2/3=base
therefore base=2/3 ft
Which line of best fit is the best choice for the data given below?
audio
For the canned food drive, 6 students each collected the same number of cans. They collected 48 cans in all. How many cans did each student collect?
Find the distance between the given points. Round to the nearest tenth.
Answer:
(7 , -3)
Step-by-step explanation:
The distance between A and B is 7 squares to the right and 3 squares down
25+ POINTS WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
perimeter of rectangle=a+b+c
=3x+3x+15
=6x+15
if perimeter of rectangle is 90,
perimeter=a+b+c
90=3x+3x+15
90-15=6x
75/6=x
12.5=x
Answer:
X=12.5
Step-by-step explanation:
3x+3x+15
If it equalls 90 then write it as 6x+15=90
Now isolate X.
6x+15=90
6x=75
x=12.5
CHECK UR WORK
(3*12.5)+(3*12.5)+15=90
37.5+37.5+15=90
75+15=90
90=90
The hall is a rectangle that measures 4m long by 90 cm wide what is the area
Step-by-step explanation:
the answer is 36000 cm2
please mark the brainliest
┻━┻︵└(՞▽՞ └)
which expression is equivalent to 4(3x+2)-5x
A = 7x+2
B = 7x+8
C+12x+2
D=2x+8
Answer:
B) 7x + 8
Step-by-step explanation:
distribute 4 first to get:
12x + 8 - 5x
combine like terms to get:
7x + 8
Goods bought for $1500 had to be sold off at a loss of 30%. The selling price was ?
A $1950
B $1050
C $450
D $300
Answer:
B $1050
Step-by-step explanation:
Determine 30% of the price
1500 * 30%
1500 *.30
450
Subtract this from the price
1500-450
1050
Answer:
B $1050
Step-by-step explanation:
0.3 x 1500 = 1050
6
a
4
+
5
b
3
when
a
=
3
and
b
=
−
3
Answer:
27
Step-by-step explanation:
4a + 5b
12 + 15
=27
i need help on this assignment
Given:
A figure of a rectangular prism with length l, width w and height h.
To find:
The surface area of the rectangular prism.
Solution:
The product of twice of the length l and the width w is:
[tex]2\times l\times w=2lw[/tex] ...(i)
The product of twice of the length l and the height is:
[tex]2\times l\times h=2lh[/tex] ...(ii)
The product of twice of the width w and the height h is:
[tex]2\times w\times h=2wh[/tex] ...(iii)
The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:
[tex]A=2lw+2lh+2wh[/tex]
[tex]A=2(lw+lh+wh)[/tex]
Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].
