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4 years ago

Use the following function rule to find f(-1). f(x) = -11 + 8x f(-1) =?

Mathematics

2 answers:

zepelin [54]4 years ago

8 0

Answer:

f(-1) = -19

Step-by-step explanation:

Using the equation

(f(x) = -11 + 8x) we use f(-1) into it.

f(-1) = -11 + 8(-1)

f(-1) = -11 -8

f(-1) = -19

8090 [49]4 years ago

3 0

Answer:

-19

Step-by-step explanation:

f(x) = -11 + 8x

f(-1) =-11 + 8(-1)

= -11 -8

= -19

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Add using the number line. −1.2+2.9 Select the location on the number line to plot the point. -2.52.5-2-1.5-1-0.500.511.52.

Thepotemich [5.8K]

Answer: The number gotten from the number line is 1.7,

Kindly find an attached diagram to indicate the number line.

Step-by-step explanation:

DEFINITION: The number line is a straight line with numbers found at equal intervals and it can extend to negative and positive infinity respectively. The number line provides a means of abstraction for Real Numbers and can be used for adding and subtracting.

Kindly find the attached the diagram showing the number line. Refer to the diagram to understand how the answer was derived.

STEP 1: Draw a straight line to denote the number line and attach two arrows at the extremes of the line (looking in opposite directions) to indicate the continuation of numbers extending to infinity and negative infinity respectively.

STEP 2: Find a point to denote as Zero (0) as the midpoint to start the calibration, then take equal intervals of distance to denote number points (as is shown in the drawn attachment).

Denote the intervals -2.5, -2.0, -1.5, -1.0, -0.5, 0, 0.5, 1, 1.5. 2. 2.5. 3.0

STEP 3: Draw small intervals of -0.1 and 0.1 for both the positive and negative sides of the number line.

STEP 4: Now, choose either -1.2 or 2.9,

IF -1.2 is chosen count two -0.1 intervals left of -1.0 and mark a circle indicating -1.2, then count right 29 intervals (denoting 2.9) to find the answer which is 1.7.

IF 2.9 is chosen count four 0.1 intervals right of 2.5 and mark a circle indicating 2.9, then count left 12 intervals (denoting -1.2) to find the answer which is 1.7.

7 0

3 years ago

The triangles below are similar. What is the value of x ?

Mandarinka [93]

Answer:

Step-by-step explanation:

Since triangle ADE and triangle ABC are similar, that means their sides are proportional, thus we get the equation

$\frac{AD}{AB} =\frac{DE}{BC}$

$\frac{2}{6} = \frac{x}{12}$

$6x = 24\\x=4$

Thus the value of x is 4

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2 years ago

Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is

olganol [36]

<h2>Answer:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2>Step-by-step explanation:</h2>

The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;

(x - x₀)² + (y - y₀)² + (z - z₀)² = r² ------------------(i)

From the question:

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25 ------------------(ii)

Open the brackets and have the following:

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0 [equation has already been normalized since the coefficient of x² is 1]

Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:

x² + y² + z² + 18(x - y + z) + 218 = 0

(2) To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25 [subtract 25 from both sides]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

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4 years ago

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3 years ago

Kelly spends 3/8 of her free time playing soccer. what percent of her free time was spent playing soccer?

lozanna [386]

I think it's 37.5 . I'm pretty sure cause I think you divide 3/8 . Then you go 2 to the right for your answer with the decimal. Not sure but . I think I'm right.

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3 years ago