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svetoff [14.1K]
3 years ago
8

In a linear equation, the average rate of change between two points is equal to the _____________________.

Mathematics
1 answer:
Jobisdone [24]3 years ago
6 0

Answer:

slope

Step-by-step explanation:

The average rate of change is 2, which also equals the slope of the graph of the entire function

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What choices are solutions for equation x^2-3x = -5/4
Kryger [21]

Here's the solution,

=》

{x}^{2}  - 3x =  -  \dfrac{5}{4}

=》

{x}^{2}  - 3x +  \dfrac{5}{4}  = 0

now, let's multiply the whole equation with 4

=》

4 {x}^{2}  - 12x + 5 = 0

=》

4 {x}^{2}  - 10x - 2x + 5= 0

=》

2x(2x - 5) - 1(2x - 5) = 0

=》

(2x - 1)(2x - 5) = 0

so,

Case 1. where, 2x - 5 = 0

=》

x =  \dfrac{5}{2}

case 2. where, 2x - 1 = 0

=》

x =  \dfrac{1}{2}

8 0
3 years ago
Rectangular prism container holds about 1320 ml of water. Its length, width and height are consecutive whole number. It's dimens
Black_prince [1.1K]

Answer:

10cm\times 11 cm\times 12 cm

Step-by-step explanation:

We are given that

Volume of water=1320 ml=1320 cubic cm

1ml=1 cubic cm

One dimension of rectangular prism=l=10 cm

Length,width and height are consecutive whole number

Breadth of rectangular prism=x+1

Height of rectangular prism=x+2

Volume of rectangular prism=lbh

Using the formula

1320=10(x+1)(x+2)

x^2+x+2x+2=\frac{1320}{10}=132

x^2+3x+2-132=0

x^2+3x-130=0

x^2+13x-10x-130=0

x(x+13)-10(x+13)=0

(x-10)(x+13)=0

x-10=0\implies x=10

x+13=0\implies x=-13

x=-13

It is not possible because  length cannot be negative.

Length of rectangular prism=10 cm

Breadth of rectangular prism==10+1=11 cm

Height of rectangular prism==10+2=12 cm

Dimensions of the prism is given by

10cm\times 11 cm\times 12 cm

4 0
4 years ago
Y= -5/6x + 4 in slope intercept form?
irina [24]

Answer:

-5/6

Step-by-step explanation:

Whatever number is connected to the x is the slope. The reason why is

y=m+b. M is the slope and B is the y-intercept.

3 0
4 years ago
Read 2 more answers
2^x times 3^x<br><br> Work out the value of x
kumpel [21]
6^x is 3×2 is six I hope I've helped you
3 0
4 years ago
If 4x=32 find the value of 35-5x
vodka [1.7K]
4x=32
4x/4=32/4
x=8

35-5x
35-5(8)
35-40
-5

8 0
3 years ago
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