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2 years ago

Which of the following equations has no solution?

Mathematics

1 answer:

Ronch [10]2 years ago

8 0

Answer:

B and D

Step-by-step explanation:

Equations with the same x- term on both sides will have no solution

4x - 13 = 5(x + 4) = 5x + 20

4x ≠ 5x

This equation has a solution

5(3 + 2x) = 10x + 4

15 + 10x = 10x + 4

10x on both sides ⇒ no solution

2(3 - 5x) = 8(x + 1)

6 - 10x = 8x + 8

- 10x ≠ 8x

This equation has a solution

9x - 6 = 3(3x - 2) = 9x - 6

9x on both sides ⇒ no solution

You might be interested in

If f(x)f(x) is an exponential function where f(-1)=5f(−1)=5 and f(7)=32f(7)=32, then find the value of f(4)f(4), to the nearest

Whitepunk [10]

Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.

<h3>What is an exponential function?</h3>

It is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change, as a decimal.

In this problem, we have that f(-1)=5, hence:

$5 = ab^{-1}$

$\frac{a}{b} = 5$

a = 5b

We also have that f(7)=32, hence:

$32 = ab^7$

Since a = 5b:

$5b^8 = 32$

$b = \sqrt[8]{\frac{32}{5}}$

b = 1.2612.

a = 5b = 5 x 1.2612 = 6.306.

Hence the function is given by:

$y = 6.306(1.2612)^x$

Then, when x = 4, we have that:

$y = 6.306(1.2612)^4 = 15.95$

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0

2 years ago

Let f(x) = 3x -7 and g(x) = -2 - 6 find (fog) (4) show all steps

iren2701 [21]

3x-7=-2-6
3x=-2-6+7
3x=-1
X=-3

6 0

3 years ago

What is the value of cose in the diagram below?

Nuetrik [128]

Answer:

$cos \theta = 0.6$

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8

$cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1$

$cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ$

3 0

3 years ago

Nikolas and Angela were trying to solve the equation:

mario62 [17]

Answer:

zero product property (Angela)

Step-by-step explanation:

Hi there !

(Angela)

3x² + 10x = 0

x(3x + 10) = 0

x = 0 => x₁ = 0

3x + 10 = 0 => 3x = - 10 => x₂ = - 10/3 = - 3 1/3

Good luck !

7 0

3 years ago

A number a is to the left of the number b on the number line how do the numbers -a and -b compare?

Leokris [45]

Answer:

-a will be greater than -b because for example, when a=2 and b=5, -a=-2 and -b=-5

8 0

2 years ago