The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) − b shifts the function b units downward. f (x + b) shifts the function b units to the left

4 0

2 years ago

G(y) = 7 – 3y<br> (a) g(0)<br> (b) g(3)<br> (c) g(s + 2)

natulia [17]

A. 7
b. -2
c. 1-3s

7-3(s+2)
7-3s-6
1-3s

5 0

3 years ago

∆ABC m∠B = 90° AB = 4 BC = 3<br> Find AC

lutik1710 [3]

Step-by-step explanation:

In ∆ABC, m∠B = 90°

Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.

Hence, by Pythagoras theorem:

$AC^2 = AB^2 +BC^2 \\ \\ \therefore \: AC = \sqrt{AB^2 +BC^2 } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ = 5 \\ \\ \huge \red{ \boxed{ \therefore \: AC = 5 \: units}}$

8 0

3 years ago

Mrs. James has $40.50 to spend at the store. She wants to buy a dress that costs thirty dollars and necklaces that cost $3.50. H

Cloud [144]

Answer:

3 necklaces

Step-by-step explanation:

$40.50-$30.00=$10.50 Subtract her total money and cost of dress

$10.50-$3.50=$6.00 subtract each necklace price from remaining money

$6.00-$3.50=$3.50 keep subtracting price of necklace

$3.50-$3.50=$0 that was 3 necklaces

8 0

3 years ago