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3 years ago

1. Solve the following system by graphing. 3x + 4y = 12 2x − y = 8

Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

(4,0)

Step-by-step explanation:

can i have a brainlest

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What is the true solution to the logarithmic equation?<br>log2 [log2(sqrt4x)]=1

erastova [34]

Answer:4

Step-by-step explanation:

log₂[log₂(√4x)] = 1

log₂2 =1

So we replace our 1 with log₂2

log₂[log₂(√4x)] = log₂2

log₂ on bothside will cancel each other.

We will be left with;

[log₂(√4x)] = 2

log = power of exponential

√4x = 2²

√4x = 4

Square bothside

(√4x)² = 4²

4X = 16

Divide bothside by 4

4x/4 = 16/4

x = 4

8 0

3 years ago

Read 2 more answers

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

50 is 40% of what number

DENIUS [597]

50 / 0.40 = 125

To check your answer, 125 * 0.4 = 50

7 0

3 years ago

Read 2 more answers

Please help I really need help because I have to turn it in soon and yeah so comment

BartSMP [9]

Answer:

Step-by-step explanation:

4- 3*1=3

6*1/100= 0.06

3+0.06= 3.06

5- 7*1= 7

3*1/10= 0.3

4*1/1,000= 0.004

7+0.3+0.004= 7.304

7- 3.3, 3.30

8- 9.3000, 9.30

9- 9.6, 9.600

10- 4.4000, 4.40

for #4-5 just put the number of 0s in the denominator of the fraction for the answer

3 0

2 years ago

A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a height of 3 1/4centimeters.

Svetllana [295]

Answer:

16.25 cubic cm

Step-by-step explanation:

The volume of a prism is found using V = l*w*h. Here l = 1.25, w = 4 and h = 3.25. Substitute and simplify.

V = 1.25(4)(3.25)

V = 16.25

3 0

3 years ago

Read 2 more answers