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asambeis [7]
3 years ago
12

Which statement about this product is true? 0.44×(-53/4)

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer with explanation:

The number whose product we have to find is,

0.44 \times \frac{-53}{4}\\\\=\frac{44}{100} \times \frac{-53}{4}\\\\=\frac{-53 \times 11}{100}\\\\=\frac{-583}{100}=-5.83

→Actual Product = -5.83

When, you will round it to nearest Hundredth it is equal to -6.

Now ⇒ starting from option A

0.44 when rounded to nearest whole number is equal to 0.

So,

0 \times\frac{-53}{4}=0

is not closer to actual Product which is -5.83.

⇒Option B  

0.44 when rounded up≠1

Incorrect Statement

⇒Option C

-5.83, is not greater than -3.

Incorrect Statement

⇒Option D

True Statement

It is less than \frac{-53}{4} because multiplying a rational number by a number less than 1 gives a smaller number.

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The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x)= 2^x. Det
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Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

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x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

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s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

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