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3 years ago

11

Multiply:(square root 10 + 2 square root 8)( square root 10 - 2 square root 8)

2 answers:

kogti [31]3 years ago

7 0

Answer: -22.

Explaination: if you multiply the square root 10+. And Square the root of 8

pantera1 [17]3 years ago

3 0

Answer:

-22

Step-by-step explanation:

We need to multiply the following:

$(\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})$

First, we need to FOIL out this expression, then we can simplify it

$(\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22$

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JulijaS [17]

Answer:

5+2=7

Step-by-step explanation:

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2 years ago

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Please help for brainliest <br> Solve and graph the compound inequality.<br> 10 < x - 10 < 25

maria [59]

Answer:

Step-by-step explanation:

Just add 10 to both side and we'll have

10 + 10 < x < 25 + 10

20 < x < or equal to 35

8 0

3 years ago

F(x) = 3x^3 - 2x^2 - 11x + 10; (x + 2)<br><br> I need to factor and find the zeros.

Ratling [72]

Answer:

$\textsf{Factored function}: \quad f(x)=(x+2)(3x-5)(x-1)$

$\textsf{Zeros}: \quad x=-2, \quad x=\dfrac{5}{3},\quad x=1$

Step-by-step explanation:

<u>Given function</u>:

$f(x)=3x^3-2x^2-11x+10$

If (x + 2) is a factor then:

$\implies f(x)=(x+2)(ax^2+bx+c)$

Expand:

$\implies f(x)=ax^3+bx^2+cx+2ax^2+2bx+2c$

$\implies f(x)=ax^3+2ax^2+bx^2+2bx+cx+2c$

$\implies f(x)=ax^3+(2a+b)x^2+(2b+c)x+2c$

To find <em>a</em>, compare the coefficients of x³:

$\implies a=3$

To find <em>b</em>, substitute the found value of <em>a</em> into the coefficient for x² and compare:

$\implies 2a+b=-2$

$\implies 2(3)+b=-2$

$\implies b=-8$

To find <em>c</em>, compare the constants:

$\implies 2c=10$

$\implies c=5$

Therefore:

$\implies f(x)=(x+2)(3x^2-8x+5)$

Now factor (3x²-8x+5):

$\implies 3x^2-3x-5x+5$

$\implies 3x(x-1)-5(x-1)$

$\implies (3x-5)(x-1)$

Therefore the factored function is:

$\implies f(x)=(x+2)(3x-5)(x-1)$

<u>Zero Product Property</u>

$\boxed{\text{If \; $a \cdot b = 0$ \; then either \; $a = 0$ \;or \;$b = 0$ (or both)}.}$

To find the zeros, set each factor equal to zero and solve for x:

$\implies x+2=0 \implies x=-2$

$\implies 3x-5=0 \implies x=\dfrac{5}{3}$

$\implies x-1=0 \implies x=1$

Therefore, the zeros of the function are:

$x=-2, \quad x=\dfrac{5}{3},\quad x=1$

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1 year ago

A tax cabs entry cost is $2.50 in each mile traveled is $.75 . Write an expression for the total cost of the taxi ride traveling

lara31 [8.8K]

2.50+.75x
hope it helps and plz mark this brainliest!!

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What are the coordinates of the image of vertex R -3,4 after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)

Feliz [49]

The coordinate of the image after being reflected is R(3,4).

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3 years ago

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