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2 years ago

Where is the location of the vertex of the parabola on a coordinate grid?

Mathematics

1 answer:

IrinaVladis [17]2 years ago

7 0

Answer:

below the x-axis

Step-by-step explanation:

y=x^2+2x-3

the vertex is located on the axis of symmetry

to find h ax^2 +bx+c

h= -b/2a = -2/2(1) = -1

the x coordinate of the vertex is -1

to find the y coordinate, substitute into the equation

y = (-1)^2 +2(-1) -3

= 1-2-3

= -4

(-1,-4)

the vertex is below the x axis

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Is this the right answer?

Aliun [14]

Answer:

yep the Answer is right

5 0

2 years ago

Which expression is equivalent to (0.5n−0.3)−(0.8n−0.9)?

Bezzdna [24]

Answer:

-0.3n + 0.6

Step-by-step explanation:

if we write out the entire expression we have:

0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)

then we add and subtract

and receive

-0.3n + 0.6

7 0

2 years ago

Read 2 more answers

solve the equations below. make sure you say how many solutions each equation has(MCC.8.EE.7a) A. 5p-9=7p-19 b. 5p-9= 5p-19 C. 5

Sedaia [141]

<h3>Answer:</h3>

A) p = 5, one solution
B) no solutions
C) infinite solutions

<h3>Step-by-step explanation:</h3>

A) Add 19-5p to each side of the equation:

... 10 = 2p

... 5 = p . . . . . divide by the coefficient of p

B) Subtract 5p from both sides of the equation:

... -9 = -19 . . . . . there is <em>no value of p</em> that will make this true. (No solution.)

C) Subtract 5p from both sides of the equation:

... -9 = -9 . . . . . this is true for <em>every value of p</em>. (Infinite solutions.)

6 0

2 years ago

How are the rules for multiplying and dividing integers similar and how are they different?

3241004551 [841]

Answer:

OK SO IN MULTIPLYING INTEGERS

negative into negative is positive

positive into positive is positive

positive into negative is negative

Step-by-step explanation:

5 0

3 years ago

A fence must be built to enclose a rectangular area of 45 comma 000 ftsquared. Fencing material costs $ 3 per foot for the two s

Tatiana [17]

Answer:

150 feet by 300 feet.

Step-by-step explanation:

The fence is to enclose a rectangular area of 45,000 ft squared.

If the dimensions of the rectangle are x and y

Area of a rectangle = xy

xy=45000
$x=\frac{45000}{y}$

Perimeter of the Rectangle =2x+2y

Fencing material costs $ 3 per foot for the two sides facing north and south and $6 per foot for the other two sides.

Cost of Fencing, C=$(6*2x+3*2y)=$(12x+6y)

Substitute $x=\frac{45000}{y}$ into the Cost to get C(y)

C=12x+6y

$C(y)=12(\frac{45000}{y})+6y\\C(y)=\frac{540000+6y^2}{y}$

The value at which the cost is least expensive is at the minimum point of C(y), when the derivative is zero.

$C^{'}(y)=\dfrac{6y^2-540000}{y^2}$

$\dfrac{6y^2-540000}{y^2}=0\\6y^2-540000=0\\6y^2=540000\\y^2=\frac{540000}{6} =90000\\y=\sqrt{90000}=300$

Recall,

$x=\frac{45000}{y}=\frac{45000}{300}=150$

Since x=150, y=300

The dimensions that will be least expensive to build is 150 feet by 300 feet.

6 0

2 years ago