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Brums [2.3K]
3 years ago
11

What is the vertex of f(x) = |5x| 2?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0
The Vertex of f(x)=|5x|+2 is (0,2)
and vertex of f(x)=|5x|-2 is (0,-2)
You might be interested in
At the souvenir shop. Theo buys k key chains and p photo frames
stealth61 [152]

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

Cost of k key chain=$2.49

Cost of p photo frames=$2.49

Cost of a T-shirt=$5.99

Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

=2.49k + 2.49p + 5.99

Factorise

2.49 is common to both k and p

=2.49(k + p) + 5.99

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

4 0
3 years ago
The first day, Brian saw 31 birds and twice as many squirrels as birds. The second day, Brian saw 20 birds and 42 squirrels. Whi
ladessa [460]

Answer:  A good estimation would be about 150.

Step-by-step explanation:

To estimate we can round instead of using exact numbers.

First day he saw about 30 birds and twice as many squirrels, meaning about 60 squirrels.  This is about 90 total when added together.

Second day he saw 20 birds and about 40 squirrels so about 60 when added together.

Add day one and day two totals for...

90+60=150

8 0
2 years ago
Lauren in making 15 liters of mimosas for a brunch banquet. Orange juice costs her $1.50 per liter and champagne costs her $12 p
PSYCHO15rus [73]

Answer:

  • 10 liters of orange juice
  • 5 liters of champagne

Step-by-step explanation:

Let c represent the number of liters of champagne Lauren uses. Then (15-c) will be the number of liters of orange juice. The total cost of the mix will be ...

  12c +1.50(15-c) = 5.00(15)

  10.5c = 52.50 . . . . . subtract 22.50, simplify

  52.50/10.5 = c = 5 . . . . divide by the coefficient of c

Then the amount of orange juice is ...

  15 -c = 15 -5 = 10 . . . . liters

Lauren should use 5 liters of champagne and 10 liters of orange juice.

4 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction
charle [14.2K]

Answer:

y=\frac{11}{20}x+6

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

(x_{1},y_{1} ) ⇒ (0, 6)

(x_{2},y_{2} ) ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substitute (x_{1},y_{1} ) = (0, 6) and (x_{2},y_{2} ) = (20, 17) in above equation.

m=\frac{17-6}{20-0}\\m=\frac{11}{20}

So, slope of the line m = \frac{11}{20}

Using point slope formula.

(y-y_{1})=m(x-x_{1}) ------------(1)

Where, m = slope of the line

Substitute (x_{1},y_{1} ) ⇒ (0, 6) and m = \frac{11}{20} in equation 1.

(y-6)=\frac{11}{20} (x-0)

y-6=\frac{11}{20}x

Add 6 both side of the equation.

y-6+6=\frac{11}{20}x+6

y=\frac{11}{20}x+6

Therefore, the equation that represents the relationship between x and y is written as:

y=\frac{11}{20}x+6

6 0
3 years ago
The area of a square garden is 50m^2. How long is the diagonal?
abruzzese [7]

Answer:

Adjacent length = √(50) m

Pythagorean theorem:

a^2 + b^2 = c^2

a = √(50) m

b = √(50) m

c^2 = √(50)^2 + √(50)^2

c^2 = 50 + 50

c^2 = 100

c = 10 m

Diagonal = 10 m

3 0
3 years ago
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