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Marina86 [1]
3 years ago
12

The water level in Rocky's lake changes on an average of -7/16 every 3 years. Based on the rate of the level, how much will the

water level change after a year
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

-7/ 48

Step-by-step explanation:

Given that:

Average change in water level per 3 years = - 7/16

This means the water level decreases by - 7/16 on average every 3 years

The change in water level after a year will be ;

-7/16 = 3

x = 1

Cross multiply ;

3x = - 7/16

Divide both sides by 3

x = -7/16 ÷ 3

x = - 7/16 * 1/3

x = - 7 / 48

Hence, water level will change by - 7/48 after a year.

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What is the leading coefficient of the polynomial?
ANEK [815]

ANSWER

B) 15

EXPLANATION

The given polynomial is

23 {x}^{5}  + 12 {x}^{2}  + 19 { x }^{3}  + 15 {x}^{6}

We arrange this polynomial in ascending powers of x to obtain the standard form;

15 {x}^{6} + 23 {x}^{5}    + 19 { x }^{3} + 12 {x}^{2}

The degree of this polynomial is 6.

The coefficient of the leading term is 15

6 0
3 years ago
The figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
Mila [183]

We know angle x=y(vertically opposite angles)

Since 3 angles lie on a straight line,

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y+130=180

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3 years ago
What is the solution set of the quadratic inequality f(x) greater than or equal to 0
stellarik [79]

ANSWER

{x | x \in \: R}

EXPLANATION

From the graph, the given quadratic inequality is

{(x + 3)}^{2}  \geqslant 0

We can see that the corresponding quadratic function is a perfect square.

Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.

Hence the solution set is

{x | x \in \: R}

The correct answer is A

3 0
3 years ago
Nineteen less than 6 times a number is the same as 16 more than the number. The equation is The solution is x -7 7.​
Crank

Answer:

The number is 7

Step-by-step explanation:

let the said number be x

Nineteeen less than 6 times a number;

6x - 19

equals; 16 more than the number; this is 16 + x

Thus;

6x - 19 = 16 + x

6x-x = 16 + 19

5x = 35

x = 35/5

x = 7

3 0
3 years ago
Which statements are true about David's work? Check all that apply. The GCF of the coefficients is correct. The GCF of the varia
Anon25 [30]

Answer:

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

In step 6, David applied the distributive property.

Step-by-step explanation:

Given the polynomial :

80b⁴ – 32b²c³ + 48b⁴c

The Greatest Common Factor (GCF) of the coefficients:

80, 32, 48

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80

32 : 1, 2, 4, 8, 16, and 32

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

GCF = 16

b⁴, b², b⁴

b⁴ = b * b * b * b

b² = b * b

b⁴ = b * b * b * b

GCF = b*b = b²

GCF of c³ and c

c³ = c * c * c

c = c

GCF = c

We can see that David's GCF of the coefficients are all correct

From the polynomial ; 80b⁴ does not contain c ; so factoring out c is incorrect

In step 6 ; the distributive property was used to obtain ; 16b²c(5b² – 2c² + 3b²)

6 0
3 years ago
Read 2 more answers
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