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3 years ago

Which input value produces the same output value for

Mathematics

1 answer:

Natali5045456 [20]3 years ago

7 0

Answer:

x=1

Step-by-step explanation:

it is the point of intersection of both lines which (1,1)

for x=1 both produce same value i.e.,1

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If 1/3 of students in a class like school and 1/3 of those that like school, like science, what is the fraction of students that

Amiraneli [1.4K]

1/3 multiplied by 1/3, which is 1/9
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Can u help me ASAP. i need to know how to do it step by step

12345 [234]

Answer:

19

Step-by-step explanation:

$f(x) =4x^3-8x^2+ax+b$ has a factor $2x-1$ and

when divided by $x+2$ , remainder is 20.

To find:Remainder when divided by (x-1) ?

Solution:

$2x-1$ is a factor

$2x - 1 = 0 \Rightarrow x = \frac{1}{2}$ when we put this value of x to the function, it will become 0.

i.e.

$\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)$

Remainder is 20 when f(x) is divided by $x+2$

i.e.

$f(-2) =20$

$\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)$

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

$5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}$

By equation (1):

$a+2(18) = 3\\\Rightarrow a = -33$

So, the equation becomes:

$f(x) =4x^3-8x^2-33x+18$

$\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}$

So, when divided by (x-1), remainder will be 19.

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3 years ago

Laura shades 60 squares on her hundredths grid And Billy shades 50 squares on his hundredths grid. Write the decimal number that

Andre45 [30]

Answer:

$Laura = 0.60$

$Billy = 0.50$

0.60 > 0.50

Step-by-step explanation:

Given

$Laura = 60\ shades$

$Billy = 50\ shades$

Required

Represent using decimal number and compare

From the question, we understand that there are 100th grids;

So:

$Laura = \frac{60}{100}$

$Laura = 0.60$

$Billy = \frac{50}{100}$

$Billy = 0.50$

Comparing both decimals;

Since 0.60 is greater than 0.50, we have:

0.60 > 0.50

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3 years ago

What is the missing step in this proof?

Arada [10]

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CB = CE + EB

segment addition

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6.ABC DBE

Reflexive Property of Congruence

7. ABC ~ DBE

SAS similarity criterion

8. 

Corresponding angles of similar triangles are congruent.

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If the corresponding angles formed by

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Leviafan [203]

Answer:

Step-by-step explanation:

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