MATHEMATICS HIGH SCHOOL

1What is the y-intercept of a line that has a slope of 2 and passes through point (8,3)?
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3
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11

Answers

Answer 1

Answer:

First of all we need the line equation so let's find it first :

y = mx + b

y = 2x + b

_______________________________

The line passes through point ( 8 , 3 ) which means if put 8 instead of x the y must equals to 3 :

2(8) + b = 3

16 + b = 3

b = 3 - 16

b = - 13

______________________________

Now we have the equation of the line :

y=2x-13

To find the y-intercept we just need to out 0(zero)instead of x; Let's do it :

y = 2(0) - 13

y = 0 - 13

y = - 13

Thus the y-intercept=-13

Answer 2

Answer:

Answer:

the y intercept is -13

Step-by-step explanation:

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In the diagram, Line AB is divided into eight equal parts. What are the coordinates of point A?
What is the completely factored form of x^3 – 64x?a) x(x – 8)(x – 8) b) (x - 4) (x^2 + 4x + 16) c) x(x – 8)(x + 8) d) (x – 4)(x + 4)(x + 4)

Which expression is in simplified form for the given expression and states the correct variable restriction? u^2-4/(u-6)(u-2)
a. 1/u-3, u=3
b. u+2/u-6, u=2, u=6
c. 1/2u+12, u=-6
d. u+2/u-6, u=6

Answers

(u^2 - 4) / (u-6)(u-2)

Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)

Simplification

u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:

(u+2)(u-2) / (u-2)(u-6)

Simplify u -2 (because it appears in the numerator and the denominator)

(u + 2) / (u -6), with u ≠2 and u≠6

What is the solution to the inequality?3x – 11 < –2

A.x < 3

B.x > –3

C.x < –3

D.x > 3

Answers

Hello,

3x-11<-2
==>3x<-2+11
==>3x<9
==>x<9/3
==>x<3
Answer A

Seven times the difference of triple a number and three

Answers

Answer:

21x- 21

Step-by-step explanation:

7 × (x × 3 - 3)

7 × (3x - 3)

21x - 21

I'm not sure if the answer is correct

When Maxwell solved his equation, he got 5=5. If he did everything correctly, what does this solution tell him?

Answers

Answer: that the solution is true

Step-by-step explanation: if you get something like 10=10 it’s true but if you get like 4= 7 it’s false

The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm. Rounded to the nearest tenth, what is the greatest possible value of x? 6.3 6.4 7.0 7.1

Answers

The greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 .

In an obtuse triangle, the longest side is opposite the obtuse angle. To determine the greatest possible value of x, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the longest side measures 20 cm, and the two shorter sides are x cm and 3x cm. So, we have the following inequalities:

x + 3x > 20 (sum of the two shorter sides must be greater than the longest side)

20 + x > 3x (sum of the longest side and the shorter side must be greater than the other shorter side)

20 + 3x > x (sum of the longest side and the other shorter side must be greater than the remaining shorter side)

Let's solve these inequalities:

4x > 20

x > 5

20 + x > 3x

20 > 2x

10 > x

20 + 3x > x

20 > -2x

-10 < x

So, the greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 (rounded to the nearest tenth). Therefore, the greatest possible value of x is 6.4 cm.

To know more about greatest possible value click here :

brainly.com/question/12402727

#SPJ12

Answer:

7.1

Step-by-step explanation:

because pythagorean theorem

c² > a² + b²

20² > x² + 3x²

400 > 4x²

÷4 ÷4

100 > x²

10 > x 400 > 4(7.1)²

400 > 4(50.41)

400 > 201.64

A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37

f(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect
g(x), because an increasing quadratic function will always exceeds an increasing exponential function until their graphs intersect

Answers

The graph that most likely represents the exponential function is that "f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect."

g(x) has the ordered pairs 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64.
f(x) has the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37.

Both functions are increasing.

Answer:

Step-by-step explanation:

Given that g(x) has ordered pairs as (0,1) (1,2), (3,8) (5,32) and (6,64)

Hence this is exponential as

$y =2^x$