Answer:
y = x² + 2x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here the vertex = (- 1, 4), thus
y = a(x + 1)² + 4
To find a substitute (0, 5) a point on the graph into the equation
5 = a(0 + 1)² + 4
5 = a + 4 ( subtract 4 from both sides )
a = 1, thus
y = (x + 1)² + 4 ← expand and simplify
= x² + 2x + 1 + 4
= x² + 2x + 5
The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
<h3>What is a percentage?</h3>
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Let the volume of 60% pure antifreeze be used to make 20% pure antifreeze.
= x gallons
The volume of 20% pure antifreeze = 180 gallons
For 60% pure antifreeze:
C₁ = 60% , V₁ = x gallons
For 20% pure antifreeze :
C₂ = 20% , V₂ = 180 gallons
Applying,
C₁V₁ = C₂V₂
60 × x = 20 × 180
x = 60 gallons
The volume of 60% pure antifreeze used = 60 gallons.
The volume of water to be used.
= 180 - 60 gallons
= 120 gallons
Thus,
The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
Learn more about percentages here:
brainly.com/question/11403063
#SPJ1
Use combine like terms the answer is 7r^2-r-1
No. Age function has nothing to do with height. A five foot man could be ninety three, or a five year old boy could be four feet tall. Age and height have nothing to do with each other.
we know that
The quadrilateral ABCD is a isosceles trapezoid. The properties of the isosceles trapezoid are as follows:
-The lower base angles are congruent.
So
m∠A=m∠D
m∠B=m∠C
m∠A+m∠B=
°
m∠D+m∠C=°
therefore
m∠D=m∠A=
°
m∠B=-m∠A
m∠B=-
m∠B=
°
m∠C=m∠B=°
<u>the answer is</u>
The measure of angle ADC is °
