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2 years ago

A box contains 1 3/4 Pasta how many ounces of pasta are in the box

Mathematics

1 answer:

Ostrovityanka [42]2 years ago

7 0

Answer:

Step-by-step explanation:

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

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

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

Use a calculator to find the value of the trigonometric function to four decimal places. Tan 3.4??? A.0.2555 B.0.0594 C.0.9668 D

r-ruslan [8.4K]

The value of Tan 3.4 is 0.059410947 rounded off to four decimal places would equal to 0.0594, letter B. This is your answer if your calculator is in the degree mode.

Tangent or Tan is one of the trigonometry functions. It represents TOA in the sohcahtoa mnemonic which means Tan = Opposite / Adjacent

7 0

2 years ago

Help will give brainlist if right!!!!

sergey [27]

Are you taking the state test-

3 0

2 years ago

What is an equation of the line that passes through the points (4,1) and (8,-3)?

Rus_ich [418]

Answer:

y=-x+5

Step-by-step explanation:

(4,1)

(8,-3)

1)a slope of a line is (y2-y1)/(x2-x1)

so (-3-1)/(8-4)

-4/4=>m=-1

2)to find y-int replace any points in the equation by x and y

so 1=-1(4)+b

1=-4+b

1+4=b

so b= 5

therefore the equation is y=-x+5 so d

8 0

3 years ago

Find the value of y in the formula y=5a-3b c, if a=12,b=4,c=8

liberstina [14]

Y=5a-3b
Y=5(12)-3(4)
Y=60-12
Y=48

You don't have a sign between b and c in the equation, so I cannot help you with the last operation

8 0

3 years ago

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