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3 years ago

11

The critical points of a rational inequality are -1,3, and 4. Which set of points can be tested to find a complete solution to t

he
inequality?

1 answer:

vredina [299]3 years ago

3 0

Answer:

x = –3, x = 1, x = 3.5, and x = 5

Step-by-step explanation:

d on edg

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If logx27 + logy4 =5<br>and logx27 - logy4 =1<br>find x and y

Elanso [62]

Answer:

Hello,

I have reply too quick in comments (sorry)

Step-by-step explanation:

$\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\$

5 0

3 years ago

Find the three arithmetic means between -5 and -25.

inn [45]

The answer you are looking for is: -15.
I hope this helps.

7 0

3 years ago

If f(x)=4-x^2 and g(x) =6x which expression is equivalent to (g-f)(3)

MArishka [77]

Answer:

-18

Step-by-step explanation:

Given:

f(x)=4-x^2 and g(x) =6x

h(3) = (g-f)(3)

= 6x - (4x^2)

= 6*3 -(4*3^2)

= 18 - 4*9

= -18

3 0

3 years ago

In right triangle XYZ, ∠Y is the right angle and m∠X = 60°. If YZ = 4, what is XY?

daser333 [38]

Answer:

B is the best answer

The question is illustrated with the attached figure.

Required

Determine XY

To solve for XY, we make use of the tan function, which states that:

tan\theta = \frac{Opposite}{Hypotenuse}tanθ=

Hypotenuse

Opposite

In this case:

tan\ 60= \frac{YZ}{XY}tan 60=

XY

YZ

Substitute 4 for YZ

tan\ 60= \frac{4}{XY}tan 60=

XY

4

Make XY the subject

XY= \frac{4}{tan\ 60}XY=

tan 60

4

tan\ 60 =\sqrt 3tan 60=

3

So, the expression becomes:

XY = \frac{4}{\sqrt 3}XY=

3

4

Rationalize:

XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=

3

∗

3

4∗

3

XY = \frac{4\sqrt 3}{3}XY=

3

4

3

6 0

2 years ago

One number is 2 more than another. The difference between their squares is 24.

kkurt [141]

Answer: The numbers are 7 and 5

Step-by-step explanation:

Let the first number be x and the second number be y.

From the first statement , it was said that one of the number is two more than the other , that is

x - y = 2 .................. equation 1

square of x is $x^{2}$ and the square of y is $y^{2}$ , the difference between thier squares implies

$x^{2}$ - $y^{2}$ = 24 .............. equation 2

solving the resulting simultaneous equations by substitution method:

From equation 1 , make x the subject of the formula , that is

x = 2 + y ............. equation 3

substitute equation 3 into equation 2 , we have

$(2+y)^{2}$ - $y^{2}$ = 24

Expanding , we have

$y^{2}$ + 4y + 4 - $y^{2}$ = 24

4y + 4 = 24

Subtract 4 from both sides

4y = 20

y = 20/4

y = 5

substitute y = 5 into equation 3 , we have

x = 5+ 2

x = 7

Therefor the numbers are 7 and 5

7 0

3 years ago

Read 2 more answers