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2 years ago

PLEASE HELP AND SHOW WORK PLEASE.

1 answer:

4 0

Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given Inequalities can be solved as,

5 - x > 7

-x > 7 - 5

-x > 2

x < -2

2x + 3 ≥ 13

2x ≥ 10

x ≥ 5

As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.

This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.

Learn more about Inequality:

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Write a linear equation in standard form that satisfies the given set of conditions. X-intercept: 3, y-intercept: 5

Artyom0805 [142]

The linear equation in standard form is $y=\frac{-5}{3}x +5$ .

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for $\frac{\Delta x }{\Delta y}$ .

b= the constant term that represents the y-intercept.

The question gives: X-intercept:3 and y-intercept: 5. Then,

The x-intercept is the point that y=0, then the x-intercept point is (3,0).
The y-intercept is the point that x=0, then the x-intercept point is (0,5).

With this information, you can find the slope (a).

$a=\frac{\Delta y }{\Delta x}= \frac{0-5}{3-0} =\frac{-5}{3}$

The question gives the coefficient b since it gives the y-intercept=5.

Therefore the linear equation is : $y=\frac{-5}{3}x +5$ .

Read more about the linear equations here:

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4 0

1 year ago

Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).

Ludmilka [50]

A line segment can be divided into ratios.

<em>The coordinate of P on line segment AB is (5,1)</em>

Given

$A = (-3,-5)$

$B = (9,4)$

The position of P from A to B is:

$P_A = \frac 23$

So, from P to B would be:

$P_B =1 - \frac 23$

$P_B = \frac 13$

So, the ratio is:

$m : n = \frac 23 : \frac 13$

Simplify

$m : n = 2 :1$

<u>The coordinate of point P is:</u>

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

So, we have:

$P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})$

$P = (\frac{15}{3},\frac{3}{3})$

$P = (5,1)$

<em>Hence, the coordinate of P is (5,1)</em>

Read more about line ratios at:

brainly.com/question/8847082

8 0

2 years ago

Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry foo

Ghella [55]

Answer:

PART A: Inequality (a)

Solve for y

The graph of y ≥ ⅓(8-x) is represented by the upper red line and all points in the shaded area below it. The line is solid because points on the line satisfy the conditions.

Inequality (b)

Solve for y

The graph of y ≥ 2 - x is represented by the lower blue line and all points in the shaded area above it. The line is solid because points on the line satisfy the conditions. The solution lies in the purple area. It consists of all combinations of x and y that make y ≥ ⅓(8 - x) and y ≥ 2 - x. A practical but not a mathematical condition is that all values of x and y must be zero or positive numbers (for example, you can't have -2 servings of food), so I have plotted only the numbers in the first quadrant.

PART B: If a point is a solution of the system, then the point must satisfy both inequalities of the system.

For x=8, y=2. Verify inequality A is not true. So the point does not satisfy inequality A. Therefore, the point is not included in the solution area for the system.

PART C: I choose the point (3,1) which is included in the solution area for the system.

That means Michelle buys 3 serves of dry food and 1 serving of wet food.

Step-by-step explanation:

Plz mark Brainliest?

3 0

2 years ago

Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l

Elis [28]

Answer:

30.53

Step-by-step explanation:

24 x 1.06 = 24.44 (6% tax added to 24)

24.44 x 1.20 = 30.53 (20% tip added on top)

6 0

3 years ago

Read 2 more answers

Solve the following compound inequality: 3<-2x-137.

yarga [219]

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

STEP 1

3<-2x-137 equation

STEP 2

3<-2x-137 simplify by reversing equation

-2x-137>3

STEP 3

-2x-137>3 simplify

-2x>140

step 4

-2x>140 look for a number that can divide the two numbers like 2

-2x /-2 > 140 /-2

1>-70

answer

x>-70

3 0

2 years ago