All categories

3 years ago

Help please

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

x = 5

Step-by-step explanation:

13x - 9 = 12x - 4

combine like terms

x = 5

You might be interested in

One-tenth x fewer than the sum of one-fifth y and 2x

In-s [12.5K]

(1/10 (x)) fewer than the sum of 1/5 (y) and 2x so
1/10 (x)=1/10 times x=x/10
1/5 (y)=y/5
-x/10+y/5+2x
simplified it is
19x/10+y/5

8 0

4 years ago

Factor completely 8x5 2x4 4x2. Prime 2(4x5 x4 2x2) 2x(4x4 x3 2x) 2x2(4x3 x2 2).

Alecsey [184]

The complete factor of the expression $\rm 8x^5 + 2x^4 + 4x^2$ is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ correct option is D.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is $\rm 8x^5 + 2x^4 + 4x^2$ .

To solve the expression properly we have to take common (2x²). Then we have

$\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )$

The factor is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ .

More about the factorization link is given below.

brainly.com/question/6810544

4 0

2 years ago

The probability of an event

Readme [11.4K]

Answer:

d. is the sum of the probabilities of the sample points in the event.

Step-by-step explanation:

Suppose we have a fair coin then the the sample space S is given by {(H), (T)}

the head and tail are the sample points.

the probability of sample space will be given by the sum of probability of head and tail. P(S)= P(A) + P(B)

1= 1/2+ 1/2

The total probability of the sample space always equals 1

The individual probabilities add up to to give the probability of the sample space.

7 0

3 years ago

Given the rectangle abcd shown below has a total area of 72. E is in the midpoint of bc and f is the midpoint of dc. What is the

scoray [572]

Refer to the attached image.

Given the rectangle ABCD of length 'l' and height 'h'.

Therefore, CD=AB = 'l' and BC = AD = 'h'

We have to determine the area of triangle AEF.

Area of triangle AEF = Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE

Area of triangle ADF = $\frac{1}{2}bh$

= $\frac{1}{2}(DF \times AD)$

= $\frac{1}{2}(\frac{l}{2} \times h)$

$=\frac{lh}{4}$

Area of triangle ECF = $\frac{1}{2}bh$

= $\frac{1}{2}(CF \times CE)$

= $\frac{1}{2}(\frac{l}{2} \times \frac{h}{2})$

$=\frac{lh}{8}$

Area of triangle ABE = $\frac{1}{2}bh$

= $\frac{1}{2}(AB \times BE)$

= $\frac{1}{2}(l \times \frac{h}{2})$

$=\frac{lh}{4}$

Now, area of triangle AEF =

Area of rectangle ABCD - Area of triangle ADF - Area of triangle ECF - Area of triangle ABE

= $72 - (\frac{lh}{4} + \frac{lh}{8} + \frac{lh}{4})$

= $72 - (\frac{2lh+lh+2lh}{8})$

= $72 - (\frac{5lh}{8})$

= $72 - (\frac{5 \times 72}{8})$

$=\frac{72 \times 8 - (5 \times 72)}{8}$

= 27 units

Therefore, the area of triangle AEF is 27 units.

8 0

3 years ago

A grocer sells 30 loaves of bread a day. The cost is $2.50 per loaf. The grocer estimates that for each $0.50 increase in cost,

Viktor [21]

Answer:

none of the above

Step-by-step explanation:

The grocer's revenue will be the product of the number of loaves sold (30-2x) and their price (2.50+0.50x).

Revenue will be positive for values of x between those that make these factors be zero. The number of loaves sold will be zero when ...

... 30 -2x = 0

... 15 -x = 0 . . . . . divide by 2

... x = 15 . . . . . . . add x

The price of each loaf will be zero when ...

... 2.50 +0.50x = 0

... 5 + x = 0 . . . . . . . multiply by 2

... x = -5 . . . . . . . . . . subtract 5

Revenue will be positive for any number of increases greater than -5 and less than 15.

_____

D is the best of the offered choices, but it is incorrect in detail. -5 is a number less than 15, but will give zero revenue.

4 0

4 years ago