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neonofarm [45]
3 years ago
9

What is the slope of the graph?

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

5/3

Step-by-step explanation:

Because slope=rise/run.

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How many 3-digit natural numbers are there?
Aleks04 [339]

Answer:

900

Step-by-step explanation:

natural numbers are all positive numbers that dont include 0

5 0
4 years ago
Given a circle U which has a center at coordinates (1,3) and a point on its circumference at (2, 2), what is the area of the cir
dalvyx [7]
The answer is b.) sorry if I’m wrong but I did the work and got b.)
8 0
3 years ago
The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). Write the quadratic function in general f
ddd [48]

Answer:

f(x)=x^2+3x+2

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

f(x)=ax^2+bx+c

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

2=a(0)^2+b(0)+c

c=2

(-1,0)

For x=-1, y=0

substitute

0=a(-1)^2+b(-1)+2

0=a-b+2 ----> a=b-2 ----> equation A

(-2,0)

For x=-2, y=0

substitute

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

0=4a-2b+2 ----> equation B

we have the system

a=b-2 ----> equation A

0=4a-2b+2 ----> equation B

substitute equation A in equation B

0=4(b-2)-2b+2

solve for b

0=4b-8-2b+2

2b=6

b=3

Find the value of a

a=3-2=1

therefore

The quadratic function in general form is equal to

f(x)=x^2+3x+2

see the attached figure N 2 to better understand the problem

7 0
3 years ago
If the cost of producing a product that sells for $50 is 120,000 plus $20.00 per piece, then how many products must be sold to b
Vadim26 [7]
Let
x--------->number of products
y1--------> <span>the cost of producing a product
y2------> </span><span>the cost of sell a product
</span><span>
we know that
y1=120,000+20x-------> equation 1
y2=50x------> equation 2

equate equation 1 and equation 2
120,000+20x=50x
50x-20x=120,000
30x=120,000
x=4000

the answer is
4000 pieces</span>
4 0
3 years ago
What is m∠ABC? Justify your reasoning. Using the addition property of equality, 40 + 15 = 55, so m∠ABC = 55°. Using the subtract
N76 [4]

Answer:

Using the Angle Addition Postulate, 15 + 40 = m∠ABC. So, m∠ABC = 55° after simplifying.

Step-by-step explanation:

The  Angle Addition Postulate is gotten from angles placed side by side to form a resulting angle that is the sum of all the individual angles.

If D is the interior of ABC then, ABC is split into two parts i.e ABD and DBC, then the measure of ABC is the sum of the individual two parts

m∠ABC = m∠ABD + m∠DBC.

Using the Angle Addition Postulate:

m∠ABC = m∠ABD + m∠DBC

m∠ABC = 15 + 40 = 55°

m∠ABC = 55°

8 0
3 years ago
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