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zysi [14]
3 years ago
10

Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:  x = 4, y = 3

<u>Step-by-step explanation:</u>

y=\dfrac{1}{4}x+2    and      y=x-1

Using substitution method we get:

x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3

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I need help with this please
Aleonysh [2.5K]

Answer:

x=5

Step-by-step explanation:

First, let's understand logarithms.

When there is no base given, like in this problem's right side of the equation, the base is automatically 10.

So, let's re-write that.

\frac{7}{x+2}=log_{10}x+5

Now, let's test a few of the numbers out. For brevity, I already know it's 3. Let's show you why.

\frac{7}{5+2}  =log_{10}(5+5)\\\frac{7}{7} =  log_{10}(10)\\1 = 1

3 0
3 years ago
For each expression, write an equivalent expression that uses only addition.
konstantin123 [22]

Equivalent expressions are expressions of equal values

The equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6   and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)

<h3>How to determine the equivalent expressions</h3>

The first expression has been solved.

So, we have the following expressions

4x−7y−5z+6 and -3x−8y−4−87z

<u>4x−7y−5z+6</u>

We have:

4x-7y-5z+6

Rewrite as:

4x+ (y - 8y) + (2z-5z) +6

<u>-3x−8y−4−87z</u>

We have:

-3x−8y−4−87z

Rewrite as:

3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)

Hence, the equivalent expressions are 4x+ (y - 8y) + (2z-5z) +6   and 6x-3x-6x + (2y - 10y) + (4 - 8) + (z - 88z)

Read more about equivalent expressions at:

brainly.com/question/2972832

7 0
2 years ago
Y = 4x + 13<br> is this a function
VMariaS [17]

Answer:

yes u got it :))

Step-by-step explanation:

4 0
3 years ago
What is true of the function g(x)=-2x^2+5?
mart [117]

Answer:

C) The variable x represents the independent variable.

Step-by-step explanation:

The given function is g(x)=-2x^2+5.

g(x) is NOT the multiplication of g and x because g is a function of x.

x is the input of the function.

-2x^2+5 is the output of the function.

The variable x is called the independent variable because we plug in values of x to find g.

The variable g represents the output of the function NOT the input.

The correct choice is C

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3 years ago
Find the prime factorization of 35.
jeka94

Answer:

1 5 7 35

Step-by-step explanation: im a differnet breed duh

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