What is vertex on a graph

Mathematics

1 answer:

dusya [7]2 years ago

6 0

The vertex is the highest point on a downward-opening parabola or the lowest point on an upward-opening parabola.

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Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por

Irina18 [472]

Answer:

Sarah have $\frac{5}{4}$ bottle of water.

Step-by-step explanation:

We are given that,

Total number of bottles = 5

As, each bottle is divided into 4 portions.

The amount of water per person = $\frac{1}{4}$

Further, Sarah took 1 portion from each bottle and there are 5 bottles.

So, the amount of water Sarah have = $\frac{1}{4}\times 5$ = $\frac{5}{4}$

Hence, Sarah have $\frac{5}{4}$ bottle of water.

5 0

2 years ago

calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they b

kow [346]

Answer:

Step-by-step explanation:

Ratio of cakes baked by Calvin and Susie = 3 : 7

Cakes baked by Calvin = 3x

Cakes baked by Susie = 7x

Cakes baked by Calvin = Cakes baked by Susie - 60

3x = 7x - 60

7x - 60 = 3x

7x = 3x + 60

7x - 3x = 60

4x = 60

x = 60/4

x = 15

Cakes baked by Calvin = 3*15 = 45

Cakes baked by Susie = 7 *15 = 105

Total cakes baked = 45 + 105 = 150

They both baked 150 cakes altogether.

8 0

2 years ago

Solve for X<br><br> 8^3x-10 =4^6x-27<br><br> Thanks in advance!

dlinn [17]

$8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}$