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3 years ago

Please give an explanation on why the answer is the answer

Mathematics

1 answer:

NISA [10]3 years ago

4 0

Answer: A

Step-by-step explanation: Because 4 quarts equal a gallon and 4+4 equals 8

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In your own words, describe how to graph the linear equation y = -1/5x + 3. Step by step

Gemiola [76]

Answer:

Steps given below and graph is attached.

Step-by-step explanation:

First Step:

Find out $y-intercept$ by substituting $x=0$

$y=-\frac{1}{5}\times 0+3\\\\y=3\\\\Hence\ line\ passes\ through\ (0,3).$

Second Step:

Find out $x-intercept$ by substituting $y=0.$

$0=-\frac{1}{5}x+3\\\\\frac{1}{5}x=3\\\\x=15\\\\Hence\ line\ passes\ through\ (15,0).$

Third Step:

Draw a line passing through $(0,3)\ and\ (15,0)$ .

Graph is attached.

7 0

3 years ago

There are 32 students in the cafeteria, 12 girls and 20 boys. What is the ratio

tiny-mole [99]

Answer:

Step-by-step explanation:

12/4=3

20/4=5

5 0

3 years ago

Read 2 more answers

6/7 x 56 in multiplied and in its simpliest form

vazorg [7]

So, 6/7*56/1
56*6/7
336/7
the answer is 48

6 0

3 years ago

Read 2 more answers

M=-2, passes through (3,5)

navik [9.2K]

5=3(-2) +b
5=(-6)+b
+6 +6
11=b

3 0

3 years ago

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

4 years ago