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erica [24]
3 years ago
13

Functions f(x) and g(x) are shown:

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

Answer:

Shifted right 6 units.

Step-by-step explanation:

g can be written as a squared binomial since it is of the form:

x^2+2ax+a^2 which can be written as (x+a)^2.

When comparing the expression to the trinomial just mentioned it should be noted that a is -6. So g can be written as: g(x)=(x-6)^2.

Note: Vertex form of a quadratic is y=a(x-h)^2+k where (h,k) is the vertex.

The vertex of the parent is (0,0) and the vertex of g is (6,0). So the parent has shifted right 6 units to get to where g is located.

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Elisa is making strawberry shortcake. One serving of strawberry shortcake requires one third cup of strawberries and one shortbr
Kisachek [45]

Given, To make a strawberry shortcake for one person, we need :

▪︎\frac{1}{3} cup of strawberry

▪︎one shortbread biscuit

Quantity of strawberries Elisa has = 3 cups

Number of shortbread biscuits she has = 12

Number of shortcakes she can make :

= \tt3 \div \frac{1}{3}

=  \tt\frac{3 \times 3}{1}

\color{plum} =\tt 9 \: people

Thus, Elisa can serve strawberry shortcakes to 9 people.

With 12 dozen shortbread biscuits she can serve 12 people.

Quantity of strawberries needed to serve 12 people :

=\tt \frac{1}{3}  \times 12

=\tt  \frac{12}{3}

\color{plum} = \tt4 \: cups

<h3>○=> Therefore :</h3>

▪︎Elisa can serve strawberry shortcakes to <u>9 people</u>.

▪︎Elisa will need <u>4 cups of strawberries</u> if she wants to use all dozen shortbread biscuits.

7 0
3 years ago
Does anyone know how to solve these
BartSMP [9]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
If you have 3/4 cups of flour how many eighths do you have
Shtirlitz [24]
Just do 3/4 divided by 1/8 - answer should be 6
7 0
3 years ago
A rectangular ink pad has a permieter of 26 cenimeters. Ts area is 40 square cenimeters. What are the deminitions of the ink pad
Assoli18 [71]

Answer: 5cm and 8cm

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 26 ...... i

l × w = 40 ...... ii

We can reduce equation i to l + w = 13.

l + w = 13 ....... i

l × w = 40 ....... ii

From i, l = 13 - w ...... iii

Put the value of l into equation ii

l × w = 40

(13 - w) × w = 40

13w - w² = 40

13w - w² - 40 = 0

w² - 13w + 40 = 0

w² -8w -5w +40 = 0

w(w - 8) -5(w - 8) = 0

(w - 5) = 0 and (w - 8) = 0

w = 0 +5 and w = 0 + 8

w = 5

l = 8

The dimensions are 5cm and 8cm

8 0
3 years ago
WILL
Tamiku [17]

Answer:

6*4+8=32

Step-by-step explanation:

32-8=24

24/6=4

so 6*4=24

24+8=32

6 0
3 years ago
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