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3 years ago

The sum of x and 3/5 is 5/7.

2 answers:

7 0

We first write the word in math as x+3/5 = 5/7. Now we cross multiply our fractions and rewrite them with the LCD of 5 and 7. Our equation now looks like x + 21/35 = 25/35. We simplify our equation by subtracting 21/35 from both sides to get x = 4/35. 4/35 is already in lowest terms so it is our answer.

Fiesta28 [93]3 years ago

4 0

Answer: The required value of x is $\dfrac{4}{35}.$

Step-by-step explanation: Given that the sum of x and $\dfrac{3}{5}$ is $\dfrac{5}{7}.$

We are to find the value of x.

According to the given information, the equation can be written as follows :

$x+\dfrac{3}{5}=\dfrac{5}{7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The solution of equation (i) is a follows :

$x+\dfrac{3}{5}=\dfrac{5}{7}\\\\\\\Rightarrow x=\dfrac{5}{7}-\dfrac{3}{5}\\\\\\\Rightarrow x=\dfrac{25-21}{35}\\\\\\\Rightarrow x=\dfrac{4}{35}.$

Thus, the required value of x is $\dfrac{4}{35}.$

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Are these ratios equivalent? 1 teacher to 9 students 5 teachers to 45 students

IrinaVladis [17]

Answer: yes the ratios 1:9 and 5:45 are equivalent.

Step-by-step explanation:

1:9*5:5=5:45

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3 0

2 years ago

98.75 + 5% sales tax

jolli1 [7]

Answer:

103.69

Step-by-step explanation:

5% of 98.75 is about 4.94. So if you were to do money, it'd be 98.75 + 4.94, which equals about 103.69.

5 0

3 years ago

F(x) = x4 - x3 - 2x- 4 factor the polynomial function over the complex numbers

olchik [2.2K]

Answer:

f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)

Step-by-step explanation:

The given function is f(x) = x⁴ - x³ -2x -4

factor the polynomial function

f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x ) ⇒ take (-) as a common from (- x³ -2x)

= (x² + 2 ) (x² - 2) - x (x² + 2) ⇒ take (x² + 2) as a common

= (x² + 2 ) ( x² - x - 2)

= (x + √2 i) (x - √2 i) (x -2 ) ( x+1)

Notes: (x⁴ - 4) = (x² + 2 ) (x² - 2)

(x² + 2)= (x + √2 i) (x - √2 i)

( x² - x - 2) = (x -2 ) ( x+1)

8 0

2 years ago

2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

Gwar [14]

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

$x = -6$

$y = 0$

The outputs is as follows;

$x => x - 3$

$x => -6 - 3$

$x => -9$

$y=> y + 4$

$y=> 0 + 4$

$y=> 4$

Hence:

The output is (-9,4)

Solving (b):

Inputs:

$x = 3$

$y = -4$

The outputs is as follows;

$x => x - 3$

$x=>3-3$

$x = 0$

$y=> y + 4$

$y=>-4+4$

$y=>0$

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

5 0

2 years ago

Help me please!!!!!!!!!!!!!!!!

AVprozaik [17]

Answer: idk but i will look

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers