MATHEMATICS HIGH SCHOOL

In a quadrilateral MNOP the length of side MN is (4x − 7) units and the length of side ON is (7 − 3x) units. What value of x will make it a rhombus?14
2
7
12

Answers

Answer 1
Answer:

In a rhombus, all sides are equal.

So for the quadrilateral MNOP to be a rhombus, the given sides have to be equal. THat is

MN=ON

Adding 3x to both sides and addinf 7 to both sides

7x = 14

Now we need to get rid of 7 and for that we do division, that is

(7x)/(7) = (14)/(7)

x=2

Correct option is the second option .

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Divide. (6a4 + 2a3) ÷ 2a

Answers

(6a^4+2a^3):2a=(6a^4+2a^3)/(2a)=(6a^4)/(2a)+(2a^3)/(2a)=3a^3+a^2\n\n\nD:a\neq0

Sarah's younger siblings are always bothering her when she does her homework, and she begins to wonder whether other students have the same trouble. She surveys 25 of her fellow juniors and records the number of siblings and the homework grades for each of them. According to the scatterplot Sarah produced from this data, which conclusion is MOST justified?

Answers

Answer: C) Siblings have a negative effect on homework performance.

Step-by-step explanation:

Answer: Its siblings have a negative effect on homework performance

I hope that this answer helps you.

A keyboard that costs $475 is marked down 15% for sale what is the reduced price of the keyboard

Answers

Answer: $403.75

Step-by-step explanation:

Cost price= $475

Discount percent= 15%

Discount = 15% of 475

= 15/100 × 475

= 0.15 × 475

= $71.25

To get the reduced price of the keyboard, we subtract the discount from the cost price of the keyboard.

= Cost price - discount

= $475 - $71.25

= $403.75

The reduced price of the keyboard is $403.75
15% of $475 is 71.25
$475 - 71.25 = $403.75
so the reduced price is $403.75

If point (a,b) lies on the graph y=f(x), the graph of f^-1 (x) must contain point:

Answers

By the definition of inverse function,the point (a,b) lies on the graph \bold{y= f(x).} So, (b,a) must be lies on the graph of \bold{y=f^(-1) (x)}.

Given:

Point (a,b) lies on the graph y= f(x).

Find:

The graph of  \bold{y=f^(-1) (x)} must contain that point.

As per the definition of inverse function, if two one-to-one functions f(x) and g(x). If (f∘g)(x)=x and (g∘f)(x)=x. Then, we say that f(x) and g(x) are inverses of each other.

\bold{f=\{ (x,y):x\epsilon R,y\epsilon R\}}

Then, its inverse is defined as

\bold{f^(-1) =\{ (y,x):x\epsilon R,y\epsilon R\}}

Therefore, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.

Thus, the point (a,b) lies on the graph y= f(x). So, (b,a) must be lies on the graph of y=f^(-1) (x).

For more details, prefer this link :

brainly.com/question/10300045

Given:

Point (a,b) lies on the graph y=f(x).

To find:

The point which is must be lies on the graph of y=f^(-1)(x).

Solution:

According to the definition of an inverse function, if a function is defined as

f=\{(x,y):x\in R,y\in R\}

then, its inverse is defined as

f^(-1)=\{(y,x):x\in R,y\in R\}

It means, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.

We have a point (a,b) lies on the graph y=f(x). So, (b,a) must be lies on the graph of y=f^(-1)(x).

Therefore, the correct option is (1).

0.7(3s+4)−1.1s=7.9 I need a answer

Answers

First, expand the bracket

2.1s + 2.8 - 1.1s = 7.9

Next, collect like terms

s + 2.8 = 7.9

Lastly subtract 2.8 from 7.9 to get your answer.

s = 5.1

(Hope this helps! ^^)

Answer:

\boxed {s = 5.1}

Step-by-step explanation:

Solve for the value of s:

0.7(3s + 4) - 1.1s = 7.9

-Use Distributive Property:

0.7(3s + 4) - 1.1s = 7.9

2.1s + 2.8 - 1.1s = 7.9

-Combine like terms:

2.1s + 2.8 - 1.1s = 7.9

s + 2.8 = 7.9

-Subtract 2.8 to both sides:

s + 2.8 - 2.8 = 7.9 - 2.8

\boxed {s = 5.1}

So, the value of x is 5.1.

Identify the solution set of the inequality, using the given replacement set.x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}

A. {–10, –4.3, –4}
B. {–4, –3.9, 2}
C.{–10, –4.3}
D. {–3.9, 2}

Answers

Thank you for posting your question here at brainly. Feel free to ask more questions.   

The best and most correct answer among the choices provided by the question is C.{–10, –4.3} .    
      
Hope my answer would be a great help for you.  
Hello there.

Identify the solution set of the inequality, using the given replacement set.

x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}

C.{–10, –4.3}
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