MATHEMATICS HIGH SCHOOL

expand and simplify this can you help  
(2x²−3x+4) ( x²+5x−7) 

Answers

Answer 1
Answer: (2x^2-3x+4) ( x^2+5x-7)= \n \n=2x^2*x^2+2x^2*5x-2x^2*7-3x*x^2-3x*5x+3x*7+4*x^2+4*5x-4*7=\n \n=2x^4+10x^3-14x^2 -3 x^3-15x^2+21x +4 x^2+20x-28=\n \n=2x^4+7x^3-25x^2 +41x -28

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If an object has a mass of 50 kilograms, what would it weigh on Uranus, where the acceleration due to gravity is. 10.5 meters/second2?

Answers

Mass of n object : m = 50 kg.
On Uranus : g ( Uranus ) = 10.5 m/s²
Weight = Mass   x  Acceleration due to gravity
Weight = 50 kg · 10.5 m/s² = 525 kgm/s² = 525 N

JOSIE MAKES FRUIT PUNCH BY MIXING FRUIT JUICE AND LEMONADE IN THE RATIO 1:3 SHE NEEDS 24 LITRES OF PUNCH FOR A PARTYHOW MUCH FRUIT JUICE DOES SHE NEED?
FRUIT JUICE:
LEMONADE:
(IN LITRES)

Answers


the answer is as following:

Fruit juice:6

Lemonade:18

the answer has to equal 1/3 so the answer is 6 for fruit juice and 18 for lemonade

I NEED HELP NOW

In what form are the equations written?

Answers

Point-Slope form is y - y_1 = m (x - x_1), where x_1 and y_1 are the given coordinate pair and m is the slope. So, the Point-Slope equations are y - 81 = (5)/(7) (x + 2), 2y + 32 = (1)/(9) (x - 4), and y + (2)/(3) = -(9)/(11) (x - 4).

Slope-Intercept form is y = mx + b, where m is the slope and b is the y-intercept, or where the line crosses the y-axis and x = 0. The Slope-Intercept equations are y = 4x + (3)/(5), y = -(4)/(9) -(1)/(2), y = 7x - 3, and 4y = 9x - 5.

Standard Form is ax + by = c. The Standard From equations are 3x - 17y = 51, (1)/(8)x + (3)/(7)y = 56, and12x + 8y = -36.

4/7 x 1/3 x 7/8= A.1/24 B.1/6 C.2/3 D.6

Answers

(4)/(7) * (1)/(3) * (7)/(8)

(28)/(168)

simplify

(1)/(6)

the answer is B :) 

Express each number as a quotient of two integer of 54

Answers

  There are many possibilities. For example 108/2, -108/-2, 162/3, -162/-3, 216/4, -216/-4, and so forth....

Which correctly describes how the graph of the inequality 5x + 2y ≥ 13 is shaded? (1 point) Above the solid line Below the solid line Above the dashed line Below the dashed line

Answers

Answer:

The graph of inequality 5x+2y\geq 13 is above the solid line.

Step-by-step explanation:

Step-by-step explanation:

An inequality on a coordinate plane consist of a boundary line and an area in which each point is a possible solution.

* If the inequality has a sign  or  , then the line will be a solid line and its point are included in the solution.

* If the inequality has a sign '>' or '<' , then the line will be a dotted line and its point are not  included in the solution.

Given: The linear inequality: 5x+2y\geq 13

Then, the equation of the boundary line is;  5x+2y =13        ......[1]

we can write this as;

2y = -5x+13

Divide by 2 we get;

y = -(5)/(2) x + (13)/(2)                      ......[2]

Compare this  boundary line equation with the general point slope intercept line i.e, y = mx+b where m is the slope and b is the y-intercept.

Therefore, the slope of the this line is, m =-(5)/(2)

and a y-intercept (b) = (13)/(2) = 6.5

To find x -intercept:

Substitute y =0 in to solve for x;

5x+0 =13

Simplify:

x =(13)/(5) = 2.6

Therefore, the x-intercept is 2.6

Now,

Plot y = -(5)/(2) x + (13)/(2) ( as a solid line because y\geq  included equal to)

and shade the area above as 5x+2y\geq 13  as shown below in the graph
The answer is above the solid line.
Tip: On problems like these, go to the website, desmos.com, press the big red button that says "Start Graphing", and you can graph any equation by typing it in on the side and it show you the graph to get the answer!
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