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3 years ago

Find −a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3.

Mathematics

1 answer:

Juliette [100K]3 years ago

7 0

Answer:

-17

Step-by-step explanation:

Ans. - 17

We just substitute the values of a, b and c and find the answer

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X=3y<br>2x+4y=10<br>solve using substitution

Blababa [14]

Answer:

Answer:

x=3 and y=1

Step-by-step explanation:

Let's solve your system by substitution.

x=3y;2x+4y=10

Step: Solvex=3yfor x:

x=3y

Step: Substitute3yforxin2x+4y=10:

2x+4y=10

23y+4y=10

10y=10(Simplify both sides of the equation)

10y

(Divide both sides by 10)

y=1

Step: Substitute1foryinx=3y:

x=3y

x=(3)(1)

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=1

3 0

2 years ago

Read 2 more answers

What is the answer to this?

katrin [286]

Answer:

$\huge\boxed{-28}$

Step-by-step explanation:

We can substitute the given values of $a$ , $b$ , and $c$ to find the value of this expression.

$-4 | a + b - c|$

$-4 | 3 + (-2) - (-6)|$

We know that <em>two negatives make a positive. </em>This means that $-2 - (-6)$ will be the same this as $-2+6$

$-4 | 3 + -2 + 6|$

Adding a negative is the same as subtracting a positive.

$\4 | 3-2+6|\\\\3-2+6 = 7$

$-4 \cdot 7 = -28$

Hope this helped!

7 0

3 years ago

Read 2 more answers

What is the final amount if 1015 is decreased by 6% followed by a 19% increase?

sleet_krkn [62]

Answer:

1135.38

Step-by-step explanation:

100%->1015

100-6=94

94%->954.1

--------------------------------------------------

100%->954.1

119%->1135.379

≈1135.38

3 0

3 years ago

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Zielflug [23.3K]

Answer:

Option A.

Step-by-step explanation:

we have

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

Simplify the right side of the equation

we know that

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

The expression is

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

therefore

x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

4 0

3 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

4 0

3 years ago