All categories

1 year ago

What is the solution to the system of equations graphed below?

Mathematics

1 answer:

murzikaleks [220]1 year ago

7 0

Answer: C. (1, 4)

Step-by-step explanation:

The point where the two lines meet or intersect is the solution to the system of equations graphed. And in this case, the lines intersect at (1, 4).

You might be interested in

Box A is 567 inches high, 678 inches wide, and 789 inches long. It has a maximum capacity of 1,200 marbles, Box B has three time

kotykmax [81]

Answer:

1701 high

2712 wide

789 long

= 4413

Step-by-step explanation:

3 0

1 year ago

Complete the following proof. Given: Points R, S, T, Q on circle O Prove: m\overarc RS + m\overarc ST + m\overarc TQ + m\overarc

LekaFEV [45]

Answer:

360°

Step-by-step explanation:

From the figure attached,

R, S, T and Q are the points on a circle O.

Since, "measure of an arc of a circle is equal to the measure of the angle subtended by the arc at the center."

By this statement,

$m(\widehat{RS})=m(\angle ROS)$

$m(\widehat{ST})=m(\angle SOT)$

$m(\widehat{TQ})=m(\angle TOQ)$

m(major arc RQ) = m(∠QOR)

Now $m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ})$ + m(major arc RQ) = $m(\angle ROS)+m(\angle SOT)+m(\angle TOQ)+m(\angle QOR)$

Since sum of all angles at a point = 360°

$m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ})$ + m(major arc RQ) = 360°

4 0

1 year ago

Factories 24x^2-41x+12

andriy [413]

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

5 0

2 years ago

A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have the

Vadim26 [7]

Answer:

$Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o$

Step-by-step explanation:

The explanation of given question is described below:

Here, the test of hypothesis states that

$H_o : Mean = 28.6$

$H_a : Mean\ which\ is\ not\ equals\ 28.6$

The test statistic is

$Z = \frac{(\bar X - Mean)}{\frac{Population\ standard\ deviation}{vn} }$

$Z = \frac{(30.06 - 28.6)}{\frac{4.18}{6} }$

= 2.1

According to the given data α = 0.05,

So, the major value is

$IZ(0.025)I = 1.96$

(refer to the standard normal table) .

Finally

$Z = 2.1\ is\ higher\ than\ 1.96, we\ reject\ H_o$

3 0

2 years ago

A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability that the

uysha [10]

Answer:

The probability is found:

P = 24/3024 = 1/126

Step-by-step explanation:

To find total number of outcomes, we have to find permutation of 9 things taken 4 at a time:

P(9,4) = 9! / (9-3)!

P(9,4) =362880/120

P(9,4) = 3024

Number of even numbers from 0 to 9 = 4

To find desirable number of outcome, find permutation of 4 things taken 4 at a time.

P(4,4) = 4! / (4-4)!

P(4,4) = 24/1

P(4,4) = 24

The probability that the lock consists of all even digits is

P = No. of desirable outcomes / No. of total outcomes

P = 24/3024

3 0

2 years ago