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Andreyy89
3 years ago
9

Melissa has scored 83 , 84 , 93 , 77 , and 85 on her previous five tests. what score does she need on her next test so that her

average (mean) is 83 ?
Mathematics
1 answer:
pantera1 [17]3 years ago
7 0

83 x 6 = 498

 all six of her scores need to equal at least 498 for an 83 average

83 + 84 + 93 + 77 + 85 = 422

498-422 = 76

 she needs a 76

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Factor the expression completely I’ve the complex numbers X^4+10x^2+25
Elza [17]

We have

(a + b)² = a² + 2ab + b²

so that with a = x² and b = 5, we have

x⁴ + 10x² + 25 = (x² + 5)²

Next, we have

a² - b² = (a - b) (a + b)

so that with a = x and b = √5 i,

x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)

So, the complete factorization over the complexes is

(x - √5 i)² (x + √5 i)²

5 0
3 years ago
The shaded region in the graph represents the solutions of this system of linear inequalities:
kotegsom [21]

Answer:

y

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Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

m=(11-3)/(4-0)\\m=8/4=2

The equation of the solid line in slope intercept form is equal to

y=mx+b

we have

m=2

b=3 ----> the y-intercept is the point (0,3)

substitute

y=2x+3

therefore

The inequality is

y\leq 2x+3

step 2

Find the equation of the dashed line

The slope is given

m=4

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

y=mx+b    

we have

m=4

b=-5

substitute

y=4x-5

therefore

The inequality is

y

because the shaded region is below the dashed line

therefore

The system of inequalities is

y

y\leq 2x+3

8 0
3 years ago
What is the product of 379 and 8
Tanya [424]
The product of 379 and 8 is 3032, that other answer was wrong they answered with the sum (addition) not the product (multiplication)
7 0
3 years ago
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The ratio of dogs to cats being treated at a veterinarian's office this week is 5 : 2. Suppose there are 168 dogs and cats sched
Alexeev081 [22]

Answer:

48 cats

Step-by-step explanation:

Am interesting factoid about ratios:

The ratio a:b can be separated into fractional parts of \frac{a}{a + b} and \frac{b}{a + b}. We need to know the cat part. \frac{2}{5 + 2} = \frac{2}{7}, so that is the fraction part. Then, we multiply this fraction by 168 to get the total number of cats. This number is 48.

4 0
3 years ago
HELP!!!! Choose the correct answer. Which expression, when evaluated,
blagie [28]

We will check each options and verify it

(a)

18-2m

we can plug m=2

18-2\times 2

18-4

14

so, this is FALSE

(b)

7x-\frac{x}{3} >19

we can plug x=3

7\times 3-\frac{3}{3} >19

21-1 >19

20 >19

so, this is TRUE

(c)

6x-1>4x+5

we can plug x=3

6\times 3-1>4\times 3+5

18-1>12+5

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so, this is FALSE

(d)

2x^2-3x+1

now, we can plug x=2

2(2)^2-3(2)+1

8-6+1

3

So, this is FALSE

8 0
3 years ago
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