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4 years ago

Find the vertex and axis of the graph of the function f(x)=3(x-1)^2+5

1 answer:

5 0

This function is in vertex form: f(x)=a(x-h)^2 - k
Where (h , k) is the vertex. x=h is the axis of symmetry.
Vertex (1,-5) axis of symmetry x = 1

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If 5x +1/2_< 25 what is x?

Rudiy27

Answer:

x ≤ 4.9

Step-by-step explanation:

5x +1/2≤ 25

Multiply each side by 2 to get rid of the fractions

2(5x +1/2)≤ 25*2

10x +1 ≤ 50

Subtract 1 from each side

10x+1-1 ≤50-1

10x ≤ 49

Divide by 10 on each side

10x/10 ≤ 49/10

x ≤ 4.9

8 0

4 years ago

Nita processed the odd number 4575 as follows. She found that the result was an odd number.

e-lub [12.9K]

Answer:

Step-by-step explanation:

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3 years ago

X^2+2x-8=0 complete the square

Vladimir [108]

Answer:

it should be x=2 or x=--4

8 0

3 years ago

Read 2 more answers

kareem took 5 hours to drive 470km from Sudbury to Brantford. for part of the trip he drove at 100km/h. for the rest of the trip

alexira [117]

Answer:

He drove 200 km at 100 km/h and 270 km at 90 km/h

Step-by-step explanation:

Distance = Speed × Time

Assume that Kareem drove at 100 km/h for x hour

∵ Kareem drove at 100 km/h for x hours

∴ He drove a distance = 100 × x

∴ He drove a distance = 100 x km

∵ He took 5 hours in whole trip

- Subtract x from 5 to find the time that he took in the rest

of the trip

∴ The time of the rest of the trip = 5 - x hours

∵ For the rest of the trip he drove at 90 km/h

∴ He drove a distance = 90 × (5 - x)

∴ He drove a distance = 450 - 90 x

∵ He drove 470 km in whole trip

- Add the two distance and equate the sum by 470

∴ 100 x + 450 - 90 x = 470

- Add the like terms in the left hand side

∴ 10 x + 450 = 470

- Subtract 450 from both sides

∴ 10 x = 20

- Divide both sides by 10

∴ x = 2

Substitute the value of x in each distance to find the distance of each part

∵ The distance of the first part = 100 x

∴ The distance of the first part = 100(2)

∴ The distance of the first part = 200 km

∵ The distance of the second part = 450 - 90 x

∴ The distance of the second part = 450 - 90(2) = 450 - 180

∴ The distance of the second part = 270 km

He drove 200 km at 100 km/h and 270 km at 90 km/h

4 0

3 years ago

Find the slope given: (-2,-1) & (-8, 11) m =

vitfil [10]

Answer:

$\displaystyle m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-2, -1)

Point (-8, 11)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{11+1}{-8+2}$
[Fraction] Add: $\displaystyle m=\frac{12}{-6}$
[Fraction] Divide: $\displaystyle m=-2$

7 0

3 years ago