Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
Answer:
you will have to get the graph :\
Step-by-step explanation:
sorry
To solve this problem you have to set up a proportion. To form one side of the proportion you use "is over of" meaning what number represented by is, in this case 18, is placed over the number represented by of, 3000.

Since you are finding the percent of something, youre x value is placed above "100" because percent values are most commonly out of 100%.
So now your proportion will look like


To solve the proportion you cross multiply and divide. So you multiply 100 and 18 since they are crossed from each other, then divide 1800 by 3000. The answer is .6. 18 is .6% of 3000.
Answer:
=4/13
Step-by-step explanation:
There are 13 hearts in a deck
4 jacks
but 1 is the jack of hearts so we don't double count it
13+4-1 = 16
P( heart or a jack) = jack or heart/ total
= 16/52
=4/13
It is systems of equations.
Let cups=c and l=liters
7c + 3l = 9.8
<span>5l - 9c = 6 </span>
<span>35c + 15l = 49 </span>
<span>15l - 27c = 18 </span>
<span>62c = 31 </span>
<span>c = 1/2 pint </span>
<span>l = 2.1 pint </span>
<span>1 cup = 1/2 pint 1 liter = 2.1 pints</span>