Determine the intercepts of the line.
y=10x-32

Step-by-step explanation:

a) Let y = f(x) = 3x - 2x^2

f(-2) = 3(-2) - 2(-2)^2 = p

= -6 - 8

= -14

= p

f(2.5) = 3(2.5) - 2(2.5)^2 = q

= 7.5 - 12.5

= -5

= q

b) graphing

c) From the graph, you should be able to verify the following:

i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1

ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2

iii) the maximum occurs at

f(0.75) = 1.125

d) the equation for the line of symmetry is x = 0.75

Using the order of the letters in the triangles find the corresponding sides:

BL is similar to JF

LT is similar to KF

BT is similar to JK

Find the scale between LT and KF

9/12 = 3/4

The smaller triangle is 3/4 the size of the lager one.

This means BT = 3/4(JK) = 3/4(4) = 3

So x = 3, so side BL = 2x = 2(3) = 6

Now to solve for y:

BL is 3/4(JF)

6 = 3/4(y)

Solve for y by dividing both sides by 3/4

Y = 6/(3/4)

Y = 8

X = 3, y = 8

Answer:

Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle

Step-by-step explanation:

Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.

Hope that helps!

Answer:

angle QRT/angle VRT  and angle SRW/angle WRV

Step-by-step explanation:

QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.

SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees

Answer:

If you need the temperature at 11:00 am it is 78 degrees.

Step-by-step explanation:

84-6=78 degrees

The mathematical sentence that expresses the information is t + 8 > 82

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The current temperature is represented by t.

If the temperature rises by 8  degrees, then the new temperature would be t + 8.

The record-high temperature for that date is 82 degrees.

If t + 8 is greater than 82, then the temperature would break the record-high temperature for that date.

Therefore, the mathematical sentence that expresses the information above is t + 8 > 82

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Susanne checks the temperature at 11:00 a.m. She notices if the temperature

rises by 8 more degrees, it will break the record-high temperature for that

date, which is 82 degrees.

If t= the temperature in degrees at 11:00 a.m., which mathematical sentence

expresses the information above?

A. t - 8<82

B. t + 8 < 82

O C. 1-8 > 82

D. † + 8 > 82​

Answer:

24

Step-by-step explanation:

Answer:You can do this two ways:  Either use the slope intercept form

y = mx + b   with slope m=-2 so y = -2x +b

From that use x=5, y = -3 to solve for b

-3 = -2(5) + b

-3 = -10 + b

10-3 = b

7 = b

Your equation is:  y = -2x + 7

OR

Use the point slope formula:  y - y1 = m(x-x1)

with m = -2,  (x1, y1) = (5,-3)

y-(-3) = -2(x-5)

y + 3 = -2x + 10

y = -2x + 10 - 3

y = -2x + 7

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

here is a table sorry i know it is not a graph

Step-by-step explanation:

to put on a graph simply, for example, move 1 right then go 4 up to complete 1,4

x y

1 4

2 6

3 8

4 10

5 12

Hope this helps <3

Answer:

ummmmmm....post the pic at least

Answer:

What is the question here?

Step-by-step explanation:

Answer:

uhh excuse me sir you dont have the paper or anything for me to answer but thanks for the points

Step-by-step explanation:

add the paper

Step-by-step explanation:

Answer:

we will write 972 in standard form

Step-by-step explanation:

Standard form of a given number 972 is equals to 9.72 × 10².

" Standard form is defined as the mathematical expression, number, any equation , quantity with certain rules defined for it."

According to the question,

Given number = 972

Standard form of writing a number is

Given number should be express as a decimal number between 1.0 to 10.0

multiply by power of 10.

Standard form of 972 =  9.72 × 10²

Hence , standard form of a given number 972 is equals to 9.72 × 10².

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Answer:

31 words

Step-by-step explanation:

because the set up fee is 4:50$, minus this from the price Rebecca payed

16.90-4.50=$12.40

now divide this amount by $0.40 in order to get her word count

12.40÷0.40=31

Answer:123

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

y=4 is a horizontal line which crosses the y-axis at 4; slope is zero

x=8 is a vertical line which crosses the x-axis at 8; slope is undefined

Answer:

20%

Step-by-step explanation:

21/ 105

= 0.2 x 100

20%

Answer:

y=4x/3+17

Step-by-step explanation:

4/3=y-5/x+9

y=4x/3+17

The equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

We have a line that passes through the point (-9,5) and has a slope of

4/3.

The point slope form is given by -

(y - y₁) = m(x - x₁)    

Now, we can write the equation as -

(y - 5) = (4/3)(x + 9)

Therefore, the equation in point-slope form for this line is -

(y - 5) = (4/3)(x + 9)

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Answer: [tex]\dfrac{4}{5}\ m[/tex]

Step-by-step explanation:

Given

The length of one piece of string is [tex]\frac{1}{5}\ m[/tex]

So, the length of 4 pieces is the addition of four-piece length.

[tex]\Rightarrow L=\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{5}\\\\\Rightarrow L=4\times \dfrac{1}{5}\\\\\Rightarrow L=\dfrac{4}{5}\ m[/tex]

Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Answer:

y=2x+1

--------------------------------------------------------------------------------------------------------------

Rearrange 2x+3y=15 by subtracting 2x by both sides. Dividing 3y by both sides.

1⇒[tex]2x-2x+3y=15-2x[/tex]

2⇒[tex]\frac{3y=15-2x}{3y}[/tex]

[tex]y=5-\frac{2}{3} x[/tex]

We know this slope is negative. Meaning for the perpendicular crossing to work, it must have a positive slope. We know that 3=(1*M)+B. Perpendicular lines will have slopes that are negative reciprocals of one another.

--------------------------------------------------------------------------------------------------------------

We know the slope must be between 1 and 3. We know the base must be between 1 and 3.

Using the slope formula y-y/x-x

[tex]\frac{5-3}{0-1} \\ m=2[/tex]

Answer:

36

Step-by-step explanation:

4 x (2 + 7) = 36

Answer:

For the First

From SOHCAHTOA

Sin64 = x/9

x=9sin64

x=8.089

To the nearest Hundredth

x=8.09.

2nd.

Sin43=x/10

x=10sin43

x=6.8199

To the nearest hundredth

x= 6.82.

Answer:

1st - 36

2nd - 57

Step-by-step explanation:

take 180 degrees (total degree of triangle) and subtract it from the 90 degree angle, and the number of the other given angle

hope this helped

Answer: 17

Step-by-step explanation:

Answer:

B) 17

Step-by-step explanation:

Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.

Answer:

The highest common factor is (a + b)

Step-by-step explanation:

We start by making a factorization of the first expression

By using the difference of two squares, we can have it as;

a^2 - b^2 = (a + b)(a-b)

For the second expression, we already have;

(a + b)^2 = (a + b)(a + b)

What this mean is that (a + b) is common to both expressions and we have it as the highest common factor

Answer:

y = 2/3x + 3 2/3

Step-by-step explanation:

slope intercept form: y = mx + b

isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3

Answer:

$0.42

Step-by-step explanation:

Given data

Dimension

Length=4m

Width=2m

Cost=  $1.75

Area= 4*2= 8m^2

Cost per area=1.75/8

Cost per area=$0.21 per m^2

The new poster's dimension

Lenght =2m

Width= 1m

Area= 2*1= 2m^2

Hence if a square meter cost $0.21

Then 2 square meter  will cost x

cross multiply

2*0.21=x

x=$0.42

Hence the new poster will cost $0.42

Answer:

B stu goofy jr out

Step-by-step explanation:

i took the stu goofy jr test

Answer:

The answer is C.

Step-by-step explanation:

Had this on a quiz.

Answer:

8.58cm

Step-by-step explanation:

Since tanθ = opp/adj,

tan43 = 8/x

x = 8/tan43

= 8/0.93251508

= 8.57894973666

≈ 8.58

Answer:

2

Step-by-step explanation:

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