MATHEMATICS HIGH SCHOOL

Consider the following system of equations: y = −2x + 3
y = x − 5

Which description best describes the solution to the system of equations?

Lines y = −2x + 3 and y = 3x – 5 intersect the x-axis.

Line y = −2x + 3 intersects line y = x − 5.

Lines y = −2x + 3 and y = 3x − 5 intersect the y-axis.

Line y = −2x + 3 intersects the origin.

Answers

Answer 1

Answer:

Answer:

Line $y=-2x+3$ intersects line $y=x-5$

Step-by-step explanation:

We are given that

$y=-2x+3$

$y=x-5$

Subtract one equation from other then we get

$-3x+8=0$

$3x=8$

$x=(8)/(3)$

Substitute the value of x in first equation then we get

$y=-2((8)/(3))+3=-(16)/(3)+3=-(-7)/(3)$

Hence, the solution $((8)/(3),-(7)/(3))$ is the intersection point of two line equations .

Answer:Line $y=-2x+3$ intersects line $y=x-5$

Answer 2

Answer:

THE answer is B. Line y = −2x + 3 intersects line y = x − 5.

Explanation:

(I got it correct on the quiz)

PROOF:

Related Questions

What is the simplified form of 8b^3c^2 + 4b^3c^2 ?
Can someone please help me ?
Find the slope of the line passing through the points (5, 4) and (5, -5)
think of a number. double the number, subtract 6 from the result and divide answer by 2. the quotient will be 20. what is the number? show you solution pls.
Solve the inequality 0 > –3x – 2x. A. x > –36 B. x > 1 C. x > 0 D. x > –28

Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80 own both brands of mobile phones. Find the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.2/14

5/21

3/28

4/29

Answers

Answer: The probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone is 4/29.

Step-by-step explanation:

Since, the total number of students, n(s) = 1,000

The number of students who have X mobile phones, n(X) = 420,

And, number of students who have Y mobile phones, n(Y) = 580,

Thus, the probability of the student that has Y phones,

$P(Y)=(n(Y))/(n(S))=(580)/(1000)=0.58$

While, the number of students who have both phones, n(X∩Y) = 80

Thus, the probability of the student who has both phones,

$P(X\cap Y)=(n(X\cap Y))/(n(S))=(80)/(1000)=0.08$

Hence, the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.

$P((X)/(Y))=(P(X\cap Y))/(P(Y))$

$=(0.08)/(0.58)$

$=(8)/(58)=(4)/(29)$

Hence, the required probability is 4/29.

If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.

Simplify square root of 5 multiplied by the cube root of 5.5 to the power of 5 over 6
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 7 over 6

Answers

Answer:

5 to the power of 5 over 6 = $5^{(5)/(6)}$

Step-by-step explanation:

1)Let's define some properties about exponent:

$a^{(b)/(c)}=\sqrt[c]{a^(b)}$

For example :

$4^{(1)/(2)}=\sqrt[2]{4^(1)}=\sqrt[2]{4}=√(4)=2$

$2^{(6)/(3)}=\sqrt[3]{2^(6)}=\sqrt[3]{64}=4$

2)Another property of exponent is :

$(a^(b)).(a^(c))=a^(b+c)$

For example :

$(4^(2)).(4^(3))=4^(2+3)=4^(5)=1024$

This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.

Using this two properties we can solve the problem.

The expression is:

$(√(5)).(\sqrt[3]{5})$

Using the two properties :

$(√(5)).(\sqrt[3]{5})=(5^{(1)/(2)}).(5^{(1)/(3)})=5^{(1)/(2)+(1)/(3)}$

Now, $(1)/(2)+(1)/(3)=(5)/(6)$

Therefore, the final expression is

$5^{(1)/(2)+(1)/(3)}=5^{(5)/(6)}$ ⇒

$(√(5)).(\sqrt[3]{5})=5^{(5)/(6)}$

The correct answer is :

5 to the power of 5 over 6.

Find the slope of the line that passes through the two points
(2, 8) and (3, 14)

Answers

The equation of the line that passes through (2, 8) and (3, 14) will be y = 6x - 4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

$\rm (y - y_2) = \left ((y_2 - y_1)/(x_2 - x_1) \right ) (x - x_2)$

The points are given below.

(2, 8) and (3, 14)

The equation of the line that passes through (2, 8) and (3, 14) will be given as,

(y - 8) = [(14 - 8) / (3 - 2)](x - 2)

y - 8 = 6x - 12

y = 6x - 4

The condition of the line that goes through (2, 8) and (3, 14) will be y = 6x - 4.

More about the line passing through two points link is given below.

brainly.com/question/12740817

#SPJ2

Answer:

Step-by-step explanation:

The slope is calculated by finding the change in y-coordinates and dividing that by the change in x-coordinates.

The change in y:

8-14=-6

The change in x:

2-3=-1

The slope:

$slope=(-6)/(-1) =6$

What is the square root of 5

Answers

√5 is √5!!!

It's irrational number.

2 < √5 < 3 because 2² = 4 < 5 < 3² = 9

√5 ≈ 2.236

A square root of a number is a value that can be multiplied by itself to give the original number.

√5 is √5

It is known as an irrational number.

An Irrational Number is a real number that cannot be written as a simple fraction.

I put $200 in a saving account with 7% interest a year. How much will i have in 19 years

Answers

it would be 200×0.07= 14×19= 266

I = PRT
P for Principle Amount
R for Rare
T for Time in years

I = 200 × 0.07 × 19 (70% = $(7)/(100)$ = 0.07)
= $266 - this is the interest

You will have 200 + 266 = $466 in your account

Find the value of n such that x^2-19x n is a perfect square trinomial.Answer choices:
A. -19/2
B. 361/4
C. 361
D. 361/2