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Nat2105 [25]
3 years ago
13

−2(x−3)+4>3x−10 solve for x

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

Answer:   x<4

Step-by-step explanation:

−2(x−3) + 4 > 3x − 10

-2x + 6 + 4 > 3x - 10

-2x + 10 > 3x-  10

-5x > -10 - 10

-5x >-20       when divide a negative in an inequality, change the sign.

x<  4

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Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of gro
Rasek [7]

Answer:

Exponential decay function; -0.94%

Step-by-step explanation:

We are given an exponential function and we are supposed to find whether the given function increases or decreases and also the percentage of increase or decrease.

Th given function is f(x) = 2060\times (0.9906)^{x}

Here x denotes the number of years.

At the start the value was 2060. In the next year it was multiplied by 0.9906.

This means that the value becomes 0.9906 times after each year.

Hence the value decreases by 0.0094 times its original value.

Converting to percentage it becomes 0.94% decrease after each year.

7 0
3 years ago
If polynomial p(x) is divided by x + 4, the quotient is x^2-7x+34-144/x+4. Which of the following must be true?
Ber [7]

Answer:

B. P(-4)=-144

Step-by-step explanation:

From the question, we have that:

\frac{p(x)}{x + 4}  =  {x}^{2}  - 7x + 34 -  \frac{144}{x + 4}

This implies that:

p(x)=(x + 4)(  {x}^{2}  - 7x + 34) - 144

To find p(-4), we put x=-4

p( - 4)=( - 4+ 4)(  {( - 4)}^{2}  - 7 \times  - 4 + 34) - 144

p( - 4)=( 0)(  {( - 4)}^{2}  - 7 \times  - 4 + 34) - 144 =  - 144

To find p(0), we put x=0 to get:

p( 0)=( 0+ 4)(  {( 0)}^{2}  - 7 \times  0+ 34) - 144

p( 0)=(4)( 34) - 144 =  - 8

The correct answer is B

6 0
3 years ago
Find the AM and GM for the numbers 18 and 2
Neporo4naja [7]

Answer:

Step-by-step explanation:

Solution:

AM =( X_1 + X_2 )/2

=( 18 + 2 )/2

=20/2

=10

Find Geometric mean for data 18,2

Solution:

GM =sqrt( X_1 × X_2 )

=sqrt( 18 × 2 )

=sqrt(36)

=6

6 0
4 years ago
Evaluate 3m + p if m = 2 and p = 4.
KonstantinChe [14]
<h2>>> Answer </h2>

_________

\:

3m + pm = 2

3m + 4m = 2

(3 + 4)m = 2

7m = 2

m = 2/7

7 0
3 years ago
The equation of a circle is given below.
sergeinik [125]

Answer:

Center is (-12,9)

Step-by-step explanation:

Given: Equation of a circle is (x+12)^2+(y-9)^2=35

To find: center of the circle

Solution:

A circle is a locus of all points which are at equidistant from the fixed point (center).

Equation of a circle is of form (x-a)^2+(y-b)^2=r^2 where (a,b) represents center of the circle and r denotes radius of the circle.

Given equation is (x+12)^2+(y-9)^2=35

\left [ x-(-12) \right ]^2+(y-9)^2=35

Compare this equation with (x-a)^2+(y-b)^2=r^2

Center is (a,b)=(-12,9)

7 0
4 years ago
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