Help but pls explain you thought​

[tex]6x^2 +17x -3\\\\=6x^2 +18x-x-3\\ \\=6x(x+3)-(x+3)\\ \\=(x+3)(6x-1)\\\\\text{The length and width of the rectangle are}~ (6x-1)~ \text{and}~ (x+3)[/tex]

Answer:

[tex]\textsf{length}=6x - 1[/tex]

[tex]\textsf{width}=x+3[/tex]

Step-by-step explanation:

Area of a rectangle = length × width

Given area:  [tex]A=6x^2+17x-3[/tex]

Therefore,  [tex]6x^2+17x-3=\sf length \cdot width[/tex]

To find the length and width, we need to factorize the given expression for area.

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

[tex]6x^2+17x-3 \implies a=6, b=17, c=-3[/tex]

[tex]ac=6 \cdot -3=-18[/tex]

[tex]d+e=17[/tex]

So we are looking for a pair of numbers that multiply to -18 and sum to 17.

Factors of 18: 1, 2, 3, 6, 9, 18

Therefore, the two numbers (d and e) that multiply to -18 and sum to 17 are:

18 and -1

Rewrite [tex]17x[/tex] as [tex]+18x-x[/tex]:

[tex]\implies 6x^2+18x-x-3[/tex]

Factor first two terms and last two terms separately:

[tex]\implies 6x(x+3)-1(x+3)[/tex]

Factor out common term [tex](x+3)[/tex]:

[tex]\implies (6x-1)(x+3)[/tex]

As length > width,

[tex]\textsf{length}=6x - 1[/tex]

[tex]\textsf{width}=x+3[/tex]

x = 6 + 2y

hope it helps...!!!

Answer:

60

Step-by-step explanation:

just find L.C.M of 3,4,6 and 10

Step-by-step explanation:

1.581 × 10² like this ? : )

Answer:

0

Step-by-step explanation:

uhhh it already solved and also, its the answer because if theres like a "+-" you can just convert it to "-" so then it will be

11 - 11

11 - 11 = 0

Answer:

0

Step-by-step explanation:

as + and then - is - so 11- 11 = 0

Answer:

Skewed right

Step-by-step explanation:

There is a 'tail' towards the right.

Answer:

I don't know if this is the answer you're looking for, but an answer could be

24 over 5.

Step-by-step explanation:

Answer:

P(A|B) = 0.5

Step-by-step explanation:

A: set of prime numbers ={1,2,3}

B: set of divisors of 3 ={1,3}

P(A)=P(1)+P(2)+P(3)= 0.1+0.1+0.3 =0.5

P(B)=P(1)+P(3)=0.1+0.3=0.4

P(A|B) means: probability of A knowing that B

In other words we have to find the probability that a prime outcome occurs knowing that it is a divisor of 3

Its formula is given by:

P(A|B) = P(AintersectionB) /P(B)

A intersection B: outcome is prime and a divisor of 3 at the same time. (common elements between sets A and B)

A int B= {1,3}

P(AintB)= P(A)xP(B) = 0.5x0.4=0.2

Now back to the formula:

P(A|B) =P(AintB) / P(B)

=0.2/0.4=0.5

HOPE THIS HELPS :)

Answer:

a≈3.94

Step-by-step explanation:

im not sure. i believe my answer is wrong. can u tell me what the base is? then the sides

-y⁴ + 4y

hope it helps...!!!

Answer:

CIRCUMFERENCE (of a circel) = 3.14 * DIAMETER

C = 3.14 * D

106.76 mm = 3.14 * D

hence, D = (106.76 mm)/ 3.14

D = 34mm

Therefore the diameter of the circle is 34mm

Answer:

About 1.03m

Step-by-step explanation:

A=36

L=35

w=A/L=36/35 which is about 1.03m

Step-by-step explanation:

Median: 35000

Mean: 383333.33333333 (round it)

Mode: 10000, 20000, 30000, 40000, 200000, 2000000 (all the numbers)

Answer:

Yass indeed

Step-by-step explanation:

parallelogram is a rectangle.

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

If we have f(x) and it's inverse, and we compose them

we will get

[tex]f {}^{ - 1} (f(x) = x[/tex]

So here we compose

[tex]( \frac{1}{ \frac{1 + x}{x} - 1} )[/tex]

[tex]( \frac{1}{ \frac{1}{x} + 1 - 1} [/tex]

[tex] \frac{1}{ \frac{1}{x} } [/tex]

[tex]x [/tex]

So the composition is x, so they are inverses.

Answer:

169.65 m to the nearest tenth.

Step-by-step explanation:

Circumference of a circle = 2πr    where r = the radius

= 2 * π * 27

= 169.646 m

Answer:

24 m²

Step-by-step explanation:

[tex]A = \frac{hb}{2}[/tex]

A = (16)(3)/2

A = 48/2

A = 24

The units will be m² since it is area.

Answer:

1 liter

Step-by-step explanation:

100 milliliters = 0.10566882 quarts

500 milliliters = 0.52834411 quarts

1 liter = 1.05668821 quarts

10 liters = 10.5668821 quarts
______________________________

From this, we can see that 1 liter is closest to a quart.

hope this helps!

22% is the answer

First, divide 35(the number of students who have a income under 30,000 in  university A) by 160(the number of students in university A)

Secondly once you got the answer which is 0.21875. You round it up to 22% which is that answer.

HOPE THIS HELPS! :)

Answer:

-1/3

Step-by-step explanation:

hope this helps!

Answer:

2÷7+1÷7+1÷7 = 0.57142857142

Answer:

[tex]\frac{4}{7}[/tex]

Step-by-step explanation:

[tex]\frac{2}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]

= [tex]\frac{2+1+1}{7}[/tex]

= [tex]\frac{4}{7}[/tex]

Answer:

The value of x is all real numbers.

Step-by-step explanation:

4(2x -1) + 8 -14x = -8x + 4 + 2x <== distribute 4

4(2x) + 4(-1) + 8 -14x = -8x + 4 + 2x

8x - 4 + 8 -14x = -8x + 4 + 2x <== combine any like terms on both sides

-6x + 4 = -6x + 4 <== both sides are equal

Since both sides of the equation are equal, this means that any x value makes the equation true. Any real number can be used as the value of x.

Hope this helps!

Answer: 7/2 yards by 10 yards

Step-by-step explanation:

Answer:

-a^3 -3a^2

Step-by-step explanation:

(fg) (x) = x^2 (x-3)

= x^3 - 3x^2

(fg) (-a) = (-a)^3 -3 (-a)^2

= -a^3 -3a^2

Answer:

The answer to your question is F

Answer:

the absolute value of (-8) is 8 and the absolute value of (2) is 2

so l-8l>l2l

Step-by-step explanation:

Answer:

28 most likely

Step-by-step explanation:

Answer: 8,137,124

Step-by-step explanation:

You can find the answer by multiplying the number of people by the number of sq miles.
8441 * 964

Answer:

TRUE

Step-by-step explanation:

Consider

[tex] log_{ \sqrt{x} }( {x}^{k} ) [/tex]

[tex] log_{ \sqrt{x} }( {( \sqrt{x} }^{2})^{k} ) [/tex]

[tex] log_{ \sqrt{x} }{( \sqrt{x})^{2k} } ) [/tex]

we know that

[tex] log( {a}^{b} ) = b log(a) [/tex]

===

[tex]2k (log_{ \sqrt{x} }( \sqrt{x} ) )[/tex]

Also we know that

[tex] log_{a}(a) = 1[/tex]

===

[tex]2k( log_{ \sqrt{x} }( \sqrt{x} ) = 2k \times 1 = 2k[/tex]

Hence

[tex] log_{ \sqrt{x} }( {x}^{k} ) = 2k[/tex]

Therefore it TRUE