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N76 [4]
3 years ago
9

The graph shows the relationship between the volume of coffee in a cup and the length of time Cassie pours

Mathematics
2 answers:
almond37 [142]3 years ago
4 0
The answer is 3 50 means 3 in this situation
klio [65]3 years ago
3 0

Answer:

A. Cassie pours coffee at a rate of 50 milliliters per second.

Step-by-step explanation:

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Find the product and sum of the roots of the equation:<br> 2x^2-9x-10=0
BabaBlast [244]

Answer:

<h3>           sum of the roots:    x_1+x_2=4\frac12</h3><h3>           product of the roots:     x_1x_2=-5             </h3><h3> Step-by-step explanation:</h3>

2x^2-9x-10=0\quad\implies\quad a=2\,,\ b=-9\,,\ c=-10

b^2-4ac=(-9)^2-4(2)(-10)=81+80=161>0

From Vieta's formulas applied to quadratic polynomial we have:

if    b^2-4ac\geqslant0   then

sum of roots:    x_1+x_2=-\dfrac ba=-\dfrac{-9}2=4\frac12

product of the roots:     x_1x_2=\dfrac ca=\dfrac{-10}2=-5

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3 years ago
Draw a pair of opposite rays
pav-90 [236]
Here is the answer to your question

3 0
3 years ago
The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
Simplify the expression and combine like terms. 3(x-2)-2(x+1)3(x−2)−2(x+1)
Nady [450]

Answer:

6x^2+7x+4

Step-by-step explanation:

Explanation is in photo

6 0
2 years ago
Please help I’ll mark you as brainliest if correct !
Wewaii [24]

Answer: 9

Step-by-step explanation:

All but 9 get mushed means that 9 don't get destroyed.

8 0
3 years ago
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