Determine all the zeros of the function y = 3x^2 - 2x - 2

Answer:

a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6

Step-by-step explanation:

a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.

tan58=84/x

find x by dividing 84 by tan58, and you get 52.5ft.

b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.

multiply 131 by tan17, and you get x=40.1 feet.

c) This question wants you to find the length of the slide, (basically the hypotenuse).

given the angle to be 46, do sin46=9/x

since sin is opp/hyp

9/sin46= 12.5ft

d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.

tan^-1=(16/5)=theta

x=72.6 hope this helps!

Answer:

Step-by-step explanation:

Answer:

Can't factorize with rational numbers

Step-by-step explanation:

The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.

Answer:

Step-by-step explanation:

7-x²

If we treat this as the difference of 2 squares we get

(√7 - x)(√7 + x)

Given that the shape of the graph is curved, the rate of change can be

estimated by using the average value between specified points.

The points are;

Reasons:

The coordinates of the points marked (distances and time) during the walk are;

[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]

Required: Identification of two points marked on the graph that define the

interval where Samantha's average rate of change was 2/3 meters per

second.

Solution:

The average rate of change between two points is given by the ratio of

difference in the distance from the motion detector to the difference in

time between the points.

[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]

At the required points, the change in the y-values, will be 2 × a, while the

corresponding change in x-values will be 3 × a, where, a is rational number.

From the above table, at the points where the time is 6 seconds and 9

seconds, we have the following distance time ordered pair;

(6, 6), and (9, 8), from which we have;

[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]

Therefore;

The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval

where her average rate of change was 2/3 meters per second.

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Answer:

Step-by-step explanation:

Two hats were collected in the second month (5-3) =2.

Answer:

x+6>76

Step-by-step explanation:

sum is adding

greater than is >

Answer:

It's a direct variation condition,

hence ratio remains constant.

39 - 3

x - 4

x = 4×39/3 = 4×13 = 52 .. (for first blank space)

39 - 3

x - 10

x = 39×10/3 = 13×10 = 130 .. (for second blank space)

Answer:

39 ____ 3

52 ____ 4

130 ____ 10

To get the smaller numbers to a bigger one you'll times them by 13.

Divide 39 by 3 and you'll get 13 then time 4 by 13 to get the missing box answer do the same for number 10.

Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

Answer:

substitute 1 for t

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

3.95 ≈ 4

Step-by-step explanation:

A whole number refers to a whole integer, meaning there can be no decimals or fractions. Follow the rule 4 and below to round down, and 5 and above to round up.

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

6(4a-3b)

if you draw a factor tree that goes like:

    24

1         24

2        12

...       ...  (and so on, you'll find 6 is the highest)

Answer:

y − y1 = m ( x − x1 )

Step-by-step explanation:

Point slope form would include a slope 'm' and a point (x1, y1).

The first option is the general formula for point-slope form.

B is standard form for a straight line (it can also be Ax + By = C)

C is intercept form.

D is slope-intercept form.

Hope this helps.

Answer:

The slope would be 13/20

Step-by-step explanation:

10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)

hope this helps!!

Answer:

Umer F. 51.43∘ is the measure of each exterior angle in a regular heptagon.

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

X = 23

Y = 129

Hope this is helpful!

Answer:

i think x = 23, y = 129

Step-by-step explanation:

5x+14+3x-18 = 180

8x-4 = 180

8x = 184

x = 23

3x-18+y = 180

3(23)-18+y = 180

69-18+y = 180

51+y = 180

y = 129

Answer:

x=10

base=4inches

height=15inches

Step-by-step explanation:

A=1/2bh

30=1/2(x-6)(x+5)

60= x²+5x-6x-30

x²-x-90=0

x²-10x+9x-90=0

x(x-10) +9(x-10)=0

(x+9)(x-10)=0

x= -9 or 10

x cannot be negative

Therefore x= 10

base= 10-6

=4inches

height=10+5

=15inches

Percent Change = (new quantity - old quantity) / old quantity

#2:

(64 - 52) / 52

12 / 52

0.2308

23%

#4:

(12 - 18) / 18

-6 / 18

-0.33

33% decrease

#5:

(10 - 16) / 16

-6 / 16

-0.375

38% decrease

Hope this helps! :)

Answer:

A)  y=x+2

Step-by-step explanation:

We can see that each time x increase by 2, y also increases by 2.  The slope of the line formed by this equation is therefore 1.  But we start out with y = 2, even when x=0.  That's the definition of the y-intercept:  the value of y when x is equal to zero.

The slope-intercept form of a straight line equation is y = mx + b, where m is the slope (1, in this case) and b is the y-intercept (0 in this case).

We have y = 1x + 2, or y = x + 2

The frequency of this motion is 3 Hz

The standard equation of an oscillation is given by:

x = A cos(ωt + Ф)

Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.

Given the equation:

x = 3 cos(6πt + π/2)

Hence;

ω = 6π

2πf = 6π

f = 3 Hz

The frequency of this motion is 3 Hz

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The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

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Answer:

Step-by-step explanation:

If x represents your age then the age of your elder brother

is x + 5 years.

Answer:

Your age = y

So the variable expressing the age of your elder brother would be y + 5 (years).

Hope that helps?

Answer:

  B.  0

Step-by-step explanation:

If you subtract the right side expression and simplify, you get ...

  4/5(20x +5) -(16x -2) = 0

  16x +4 -16x +2 = 0

  6 = 0 . . . . . . . . . . . . false

There is no value of x that will make this true. There are no solutions.

Answer:

You should write a math example

Answer:

1-12-x-+1

Step-by-step explanation:

so you divided 2 by 4 then 1 after that 12 and boom

The equivalent expression for 4(5−3x) is ( 20 - 12x).

This states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is 4(5−3x). The expression by distribution property will be solved as,

E =  4(5−3x)

Multiply by 4 in the whole equation,

E = (  4 x 5 - 4 x 3x )

E = 20 - 12x

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Answer:

B. y=0.07x

Step-by-step explanation:

Hope this helps! Have a good day:)

Answer:

x = 62

Step-by-step explanation:

x and 118 form a linear pair (added up, they both equal 180 degrees)

So, 180-118 = 62 which is the measurement of x