What’s the correct answer

Mathematics

1 answer:

kolezko [41]2 years ago

8 0

An increase from 1950 to 200 means the orange bar needs to be taller than the blue bar.

An increase from 2000 to 2050 means the gray bar needs to be taller than the orange bar.

There are 3 countries that have this, Australia, Canada and Egypt.

The answer is C. three.

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MRS.Bonnette's recipe for banana bread calls for 3 and one fourths cups of sugar. She wants to make 6.5 batches so that she has

densk [106]

Answer:

$21/ \frac {1}{8}$

Step-by-step explanation:

Since we're given that a batch requires 3 and one fourths cups of sugar, this is written as

$3/ \frac {1}{4}$

If she wants 6.5 batches then we just cross multiply

1 batch= $3/ \frac {1}{4}$

6.5 batches=x

X= $6.5\times 3/ \frac {1}{4}$

X= $6/ \frac {1}{2}\times 3/ \frac {1}{4}$

X= $\frac {13}{2}\times \frac {13}{4}$

X= $\frac {169}{8}$

X= $21/ \frac {1}{8}$

6 0

2 years ago

Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]

Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are $\frac{14}{3}$ and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

$f(x) = \frac{3x-2}{x+1}$
$g(x)=x+5$
f[ -4 ] = ?
g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

$f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}$

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

$g(\frac{3x-2}{x+1}) = (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) = \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) = \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) = \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) = 13$