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3 years ago

mrs.jackson gives the table below to her students in order for the function to be linear what must m be and why?

1 answer:

7 0

M or the slope has to be constant throughout the graph. This is because in order for a line to be linear it has to be increasing or decreasing at the same rate. So it the slope was 2 from point x 1 -2 then the slope changed to 1 from 3-4 it would not be linear. :)

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For the given domain value fill in the Y value for the equation Y=2/3x-3

Sveta_85 [38]

Y=2/3 times x/1-3
=y=2x/3-3
y=2/3x-3

4 0

3 years ago

You are the owner of a toy store and preparing to make a donation to a local children's hospital you must prepare 320 teddy bear

Nookie1986 [14]

Answer:

90 feet

Step-by-step explanation:

320 (1/8) = 40

3/4 (40) = 30 yards

1 yard = 3 feet

30 (3) = 90 feet

3 0

3 years ago

Use the compound interest formula A =P(1 + r) t and the given information to solve for r.

Dmitry [639]

Answer:

Rounding to nearest hundredths gives us r=0.06.

So r is about 6%.

Step-by-step explanation:

So we are given:

$A=P(1+r)^t$

where

$A=2300$

$P=1600$

$t=6$ .

$A=P(1+r)^t$

$2300=1600(1+r)^6$

Divide both sides by 1600:

$\frac{2300}{1600}=(1+r)^6$

Simplify:

$\frac{23}{16}=(1+r)^6$

Take the 6th root of both sides:

$\sqrt[6]{\frac{23}{16}}=1+r$

Subtract 1 on both sides:

$\sqrt[6]{\frac{23}{16}}-1=r$

So the exact solution is $r=\sqrt[6]{\frac{23}{16}}-1$

Most likely we are asked to round to a certain place value.

I'm going to put my value for r into my calculator.

r=0.062350864

Rounding to nearest hundredths gives us r=0.06.

8 0

3 years ago

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit

natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

Let

a,b,c be the lengths of the sides of a triangle.

The area is given by:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

p is half the perimeter

p= $\frac{a+b+c}{2}$

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

$d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(-4)^{2}+(0)^{2}}$

$dAB=4\ units$

step 2

Find the distance BC

$d=\sqrt{(-2+3)^{2}+(1+2)^{2}}$

$d=\sqrt{(1)^{2}+(3)^{2}}$

$dBC=\sqrt{10}\ units$

step 3

Find the distance AC

$d=\sqrt{(-2-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$dBC=\sqrt{18}\ units$

step 4

$a=AB=4\ units$

$b=BC=\sqrt{10}\ units$

$c=AC=\sqrt{18}\ units$

Find the half perimeter p

p= $\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units$

Find the area

$A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}$

$A=\sqrt{5.7(1.7)(2.54)(1.46)}$

$A=\sqrt{35.93}$

$A=6\ units^{2}$

7 0

3 years ago

Construye un rectángulo de 12 cm de altura y 5 cm de ancho (Píntalo). Luego a) Calcula el perímetro del rectángulo. B) Calcula e

lara [203]

Step-by-step explanation:

Build a rectangle 12 cm high and 5 cm wide (Paint it). Then a) Find the perimeter of the rectangle. B) Find the area of the rectangle. Aiuda porfis.

Length of the rectangle is 12 cm

Breadth of the rectangle is 5 cm

Perimeter is the sum of all sides. For rectangle it is given by :

P = 2(l+b)

⇒ P=2(12+5)

P = 34 cm

Area of a rectangle is equal to the product of its length and breadth.

So,

A = lb

A = 12 cm × 5 cm

⇒A = 60 cm²

Hence, perimeter is 34 cm and area of rectangle is 60 cm².

8 0

3 years ago

mrs.jackson gives the table below to her students in order for the function to be linear what must m be and why?​

mrs.jackson gives the table below to her students in order for the function to be linear what must m be and why?