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Arturiano [62]
3 years ago
15

The area of a rectangle is 5x3+19x2+6x-18 with length x + 3. Using synthetic division, what is the width of the rectangle?

Mathematics
2 answers:
prohojiy [21]3 years ago
8 0

Answer:

5x^2 + 4x - 6

Step-by-step explanation:

Morgarella [4.7K]3 years ago
5 0
                 5  19    6  -18
        -3    
                    -15 -12   18

                 5    4   -6    0

Therefore, the width is 5x^2 + 4x - 6
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What is the slope of the line?<br><br> 3(y-1)=2x+2
Aleks [24]

Answer: 2/3

Step-by-step explanation:

3(y-1) = 2x + 2

Expand: 3y - 3 = 2x +  2

Isolate the y by adding 3 to both sides: 3y = 2x +5

Isolate the y by dividing 3 from both sides: y = 2/3x +5/3

Remember, in y = mx + b, m = slope.

So, 2/3 is the slope.

3 0
3 years ago
Under a microscope, ms. kapinski studies a culture with bacteria. as the number of hours progresses, ms. kapinski sees that the
velikii [3]

Answer:

Study 1 Answers:

1) 0.76 represents the multiplier of the bacteria, in this case it is decreasing by 24% because the formula for exponential decay is 1 - r.

2) 1290 represents the initial value, or before the study began.

Study 2 Answers:

1) 1180 is the initial value, or before the study began.

2) Study 1 started with more bacteria

3) Study 1 is experiencing exponential decay, while study 2 is experiencing exponential growth

Step-by-step explanation:

Exponential functions are in the form y=a(b)^x, where a is the initial value, b is the multiplier, and x represents inputs, such as hours after a bacteria study.

Any multiplier above 1.00 is experiencing exponential growth, meaning it grows gradually over time, and any multiplier below 1.00 is experiencing exponential decay, meaning it decreases in population over time.

5 0
2 years ago
A country's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponentia
Aloiza [94]
K = ln (153/147)/7
k = <span> ln (<span> <span> 1.0408163265)/7
k = </span></span></span>0.040005334584

y(t) = a * e ^ k*t

y(2017) = 147 * e^ <span><span><span>0.040005334584 </span> </span> </span> * 26
y(2017) = 147*e^ <span> <span> <span> 1.0401386992 </span> </span> </span>
y(2017) = 147* <span> <span> <span> 2.8296094512 </span> </span> </span>
<span>y(2017) = 415.95 NOT very sure of that answer


</span>









6 0
3 years ago
Solve the equation 3(x+1)+2x=1/2(10x-14) <br>Plz show the steps
Umnica [9.8K]

Answer:

x=-2

Step-by-step explanation

1) Remove () and Rewrite

  • 13x+13+2x=1/2x2(5x-7)

2) Collect Like Terms

  • 15x+13=5x-7

3) Move Terms

  • 15x-5x=-7-13

4) Divide Both Sides

  • 10x=-20

ANSWER IS x=-2

8 0
2 years ago
Read 2 more answers
Testing to see if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0
klemol [59]

Answer:

b) B and D and c) A and C

Step-by-step explanation:

The hypotheses would be:

H_0: p =0.75\\H_a: p >0.75

(Right tailed test at 5% level)

Sample proportions are

Sample              A                 B                C                 D

Success            31               34               27               38

Proportion p     0.775         0.85            0.675          0.95

Std error

(sqrtpq/n)          0.066        0.056          0.074          0.034

p diff

p-0.75               0.025        0.10             - 0.075        0.20

Z stat                  

p diff/SE            0.0757       1.77                 1.01          5.80

p value               0.469       0.038             0.156       0.000001

we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.

b) Only B and D provide against the null.  Because p <0.05

c) A and C provide no evidence for the alternative because p >0.05

8 0
3 years ago
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