find the mean and median weights of these cats.

Answer:

a. -3 < x ≤ 5

b. -3 ≤ y < 3

c.  (0, 0)

d. x = -3, x = 1, x = 5

e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0  when x = -3, x = 1, x = 5

f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums where f(x) has the minimum values are;

(-1, -1), and (3, -3)

[tex]{ \sf{ \: factorise \: \: \: { \underline{ \green{2 {x}^{5} - 7 {x}^{3} - 4x}}}}} \\ \\ { \dashrightarrow{ \blue{ \sf{taking \: x \: common}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{ \:x(2 {x}^{4} - 7 {x}^{2} - 4)}}}} \\ \\ { \dashrightarrow{ \sf{ \blue{let \: {x}^{2} be \: equal \: to \: a}}}} \\ \\ { \leadsto{ \sf{ \green{ \: x( 2{a}^{2} - 7a - 4)}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{x(2 {a}^{2} - (8a \: - a) - 4}}}} \\ \\ { \leadsto{ \sf{ \green{x(2 {a}^{2} - 8a + a - 4)}}}} \\ \\ { \leadsto{ \sf{ \green{x(2a(a - 4) + 1(a - 4))}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{x(2a + 1)(a - 4)}}}} \\ \\ { \sf{ \: now \: putting \: the \: value \: of \: a}}[/tex]

[tex]{ \leadsto{ \green{ \sf{x(2 {x}^{2} + 1)( {x}^{2} - 4)}}}} \\ \\ { \leadsto{ \green{ \sf{ x( {x}^{2} + 1)( {x}^{2} - {2}^{2} )}}}} \\ \\ { \leadsto{ \green{ \sf{x( {x}^{2} + 1)(x + 2)(x - 2)}}}}[/tex]

Answer:

4!

Step-by-step explanation:

Answer:

[tex]\boxed{x=73.74}[/tex]

[tex]\boxed{y=16.26}[/tex]

[tex]\boxed{z=25}[/tex]

Step-by-step explanation:

Hello there!

Algebra 1

The first thing we should find is the missing angle

Because this is a right triangle we can solve it using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

the formula... [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given two legs so we plug in a and b and solve for c

[tex]7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25[/tex]

so we can conclude that the missing side length ( or z) equals 25

now to solve for the angles

Trigonometry

We can solve for y using sin

sin = opposite side divided by the hypotenuse

the opposite of y is 7 and the hypotenuse is 25

so we set up an equation [tex]sin(y)=\frac{7}{25}[/tex]

now we solve for y

[tex]\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471[/tex]

then we round to the nearest hundredth

so we can conclude that angle labeled y = 16.26

basic geometry

Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180

180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74

Answer:

x = 9

Step-by-step explanation:

This is a 45-45-90 right triangle so the sides are in the ratio x: x: [tex]x\sqrt{2}[/tex]

Answer:

Diagonal of the rectangle = 13 units   c =13

side of rectangle = 12 units         a = 12

area of the rectangle = l× b

In rectangle all the corner angle is 90 degree. A diagonal of the rectangle forms two right angle.so we use Pythagoras theorem.

formula ; a²+b²=c²    a = 12 , c = 13

             12²+b² = 13²

            144 + b² = 169

            b² = 169 - 144

                =25

b   = 5 units

a  = 12 units

Step-by-step explanation:

Answer:

y  =  0 ,  5 ,  − 8

(*￣3￣)╭

[tex]3y^4+9y^3-120y^2=0\\y=0,5,8[/tex]

Answer:

y = -3/4x + 5/4

Step-by-step explanation:

Points: (7, -4) and ( -1, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2+4)/(-1-7)

m=6/(-8)

m= -3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = -3/4(x - 7)

y + 4 = -3/4x + 21/4

y = -3/4x + 5/4

Answer:

y = -3/4x + 5/4

Step-by-step explanation:

Hope this helps

Answer:

32+32÷32=32+1=33 is your answer

Answer:

an octagon has 8 sides

8 x 7 = 49 inches

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

To find how many 1/12 are in 2 divide 2 by 1/12

2/(1/12) = 2 x 12 = 24

Answer:

[tex]x = -2, y = 6[/tex]

Step-by-step explanation:

[tex]-x + 4 = -4x-2[/tex]

[tex]x = -2[/tex]

Plug back into either one of the equations to get y  = 6

Answer:

the cat can eat 1 1/4 bag of cat food n 1 month

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

distribute "-" into 3x-1 giving you -3x+1, combine like terms on both sides including 6x-3x and you get 3x+2

Answer: Incorrect, 19492.5

Step-by-step explanation:

Given

Jo said 565 times 34 one half  i.e. [tex]565\times 34\ \dfrac{1}{2}[/tex]   is [tex]595111[/tex]

Solving for a mixed fraction

[tex]\Rightarrow 565\times \dfrac{34\times 2+1}{2}\\\\\Rightarrow 565\times \dfrac{69}{2}=\dfrac{38985}{2}=19492.5[/tex]

Clearly, [tex]19492.5\neq 595111[/tex]

Thus, Jo is wrong

Answer:

Step-by-step explanation:

It's hard to tell what you mean. I'm going to assume you mean that you want what is left to be 3/7 less.

1400 - 3/7 1400 = 1400 - 600 = 800

The value of R1400 when decreased by the ratio 7:3 is  R600.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.

R1400 X 3/7 = R600

To learn more about ratios, please check: https://brainly.com/question/25927869

Answer:

LOOK AT YOUR ANSWER IN PICTURE

Answer:

both

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

first we want to find the missing angle at the top

to do that we subtract the given angles by 180

the square indicates that the angle is a right angle or that it equals 90

180-90-40=50

we know that the angle equal to 50 and x are supplementary angles so they will add up to equal 180 so to find x we subtract 50 from 180

180-50-130 so the answer is c

have a great day :D

this doesn't make sense

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{12}[/tex]

[tex]\frac{12}{12}[/tex] - [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{12}[/tex]

[tex]\frac{4}{12}[/tex] * [tex]\frac{1}{4}[/tex] = [tex]\frac{4}{48}[/tex] = [tex]\frac{1}{12}[/tex]

Answer:

i cant see it...

Step-by-step explanation:

...

Answer:

The answer is x + 33

Step-by-step explanation:

1) Remove parentheses.

[tex]45 + x - 12[/tex]

2) Collect like terms.

[tex]x + (45 - 12)[/tex]

3) Simplify.

[tex]x + 33[/tex]

Therefor, the answer is x + 33.

Answer:

x+33 is your answer

Step-by-step explanation:

45 + (x - 12)

45+x-12

x+45-12

x+33

Answer:

3/14

Step-by-step explanation:

Answer:

1 in3 (3 is above inches)

Step-by-step explanation:

can I please have brainliest? :)

Answer:

angle 6=54*

Step-by-step explanation:

Transversal lines/alternate angles theorem

Answer:

The cost is $280.99

Step-by-step explanation: First do 258.98 divided by 100 which will then equal 2.5898 times 8.5 equal 22.0133 which will then be rounded to 22.01 and then you add 258.98 + 22.01 and that will equal 280.99

Complete question :

It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road 1/2 for hour. Then she drives 56 mph on a highway for 1/4 hour. How far does Carol travel to work?

Answer:

26 miles

Step-by-step explanation:

The distance traveled is given by :

Distance = speed * time

Distance covered on small road :

24 mph * 1/2 hours = 12 miles

Distance covered in highway :

56 mph * 1/4 hours = 14 miles

Total miles traveled = 12 + 14 = 26 miles