what is 1/5x +8 < -4

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

Answer:

B

Step-by-step explanation:

Answer:

AAS only

Step-by-step explanation:

vertical angle

Answer:

x = 1/3

Step-by-step explanation:

Rewrite the mixed number 1 1/2 as 1 9/18.  The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9.  Then we have:

1 9/18  -(15/18)x - 6/18 = 16/18

or:

27/18 -(15/18)x = 22/18

Clear this of fractions by multiplying all terms by 18:

27 - 15x = 22, or

5 = 15x, or

x = 5/15, or x = 1/3

The value of the equation x = 1/3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9   be equation (1)

On simplifying the equation , we get

3/2 - ( 5/6 )x - 1/3 = 8/9

Adding (5/6)x on both sides of the equation , we get

( 5/6 )x + 8/9 = ( 7/6 )

Subtracting 8/9 on both sides of the equation , we get

( 5/6 )x = ( 7/6 ) - ( 8/9 )

( 5/6 )x = ( 63 - 48 ) / 54

Multiply by ( 6/5 ) on both sides of the equation , we get

x = ( 15/54 ) x ( 6/5 )

x = 3/9

x = 1/3

Hence , the value of the equation is x = 1/3

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Answer:

Step-by-step explanation:

10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz

Solution: Number of girls = x

Number of boys = y

x + y = 10 -------------------(I)

Number of girls is 4 more than the number of boys

x - y = 4 ----------------------(I)

  x =  4 + y

Substitute x = 4 +y in equation (I)

4+ y + y = 10

4  + 2y = 10

       2y = 10-4

       2y= 6

          y = 6/2

y = 3

Plug in y = 3 in eqution (I)

x + 3 = 10

        x = 10 - 3

x = 7

Number of girls = 7

Number of boys = 3

Answer: f(x) = 4*cos(x*2*pi/3)

Where I assumed that the period is 3, instead of 3x

Step-by-step explanation:

In a general equation like:

f(x) = a*cos(b*x)

a is the amplitude.

b is the angular frequency, which is equal to two pi times the inverse of the period.

In this case, we know that the amplitude is 4, then a = 4.

And the period is 3x (i guess that this is wrong because the period should not depend on the variable, as we will see later), then the frequency is:

b = 2*pi/3x

Replacing these in the equation we get:

f(x) = 4*cos(x*2*pi/3x) = 4*cos(2*pi/3)

Then we have no longer a dependence on x.

If the period is equal to 3, then the frequency will be:

b = 2*pi/3

Then the equation now is

f(x) = 4*cos(x*2*pi/3)

This is a cosine function, as we wanted.

answer:

8x - 16 + 5x + 15 = 90

and

8x - 6 + 18x + 4 = 180

Answer:

B

Step-by-step explanation:

Answer:

B. (2+5) + 7 = 2 + (5+7)

Step-by-step explanation:

The Associative Property of Addition states that:

(a+b) + c = a + (b+c).

Or, any three or more numbers added together will have the same sum no matter how they are grouped.

Answer choice B is the only choice that exhibits this, and so, B is the answer.

Hope this helps!

Answer:

(-2, 0, 1, 3)

Step-by-step explanation:

From the given graph, there are four x-intercepts, which are the points the graph crosses the x-axis

Taking the y-axis as the given vertical line, and each demarcation as representing one unit division, we have;

The x coordinates of the x-intercepts are given as follows;

1) Two lines to the left of the origin which represents "-2"

2) Through the origin, which represents "0"

3) One line to the right of the origin which represents "1"

4) Three lines to the right of the origin which represents "3"

The set of values that represents the x-intercepts of the function are;

(-2, 0, 1, and 3)

Answer:

wdym by this I can solve it just type it properly or take a screenshot

Step-by-step explanation:

Answer:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Step-by-step explanation:

Given the table

x   1      3      5      7

y   5      9      13     17

E)

It is clear that there is a CONSTANT CHANGE in the x and y values of the graph.

THE CONSTANT CHANGE IN X VALUES

i.e. 3-1=2, 5-3=2, 7-5=2

THE CONSTANT CHANGE IN Y VALUES

i.e. 9-5 = 4, 13 - 9 = 4, 17 - 13 = 4

Thus, the given table represents the linear function is TRUE

B)

It is clear that the value of y increase as the value of x increases.

Thus, the statement ''the value of y decreases as the value of x increases'' is FALSE!

D)

We know that the slop-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept.

Determining the equation

Taking two points

(1, 5)

(3, 9)

Finding the slope between (1, 5) and (3, 9)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [9 - 5] / [3 - 1]

               = 4 / 2  

               = 2

Thus, the slope of the line = m = 2

now substituting m = 2 and the point (1, 5) to determine the y-intercept

y = mx+b

5 = 2(1) + b

b = 5-2

b = 3

Thus, the value of y-intercept b = 3

substituting b = 3 and m = 2 in the slope-intercept form

y = mx+b

y = 2x+3

Therefore, the equation for the line function is y = 2x+3 is TRUE

A)

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We already know that the y-intercept b = 3

It means the y-intercept modeled is (0, 3)

Therefore, the statement of the function modeled is (0, 3) is TRUE.

C)

We have already got the equation

y = 2x+3

substituting x = 8

y = 2(8)+3

y = 10+3

y = 13

so at x = 8, the value of y = 13

Therefore, the statement that the ''On a graph of the function when x = 8, the value of y will be 2'' is FALSE!

Conclusion:

Here is the summary of true statements:

A) The statement of the function modeled is (0, 3) is TRUE.

D) the equation for the line function is y = 2x+3 is TRUE.

E) the given table represents the linear function is TRUE

Answer:

UY = 14

Step-by-step explanation:

In the given figure

∵ TUV is a triangle

∵ UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

∴ UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

∴ UY = 2YZ

∵ UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

∴ UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

∴ UY = 14

Answer:

[tex]m\angle C=20^{\circ}\\m\angle B = 127^{\circ}\\b=37\\[/tex]

Step-by-step explanation:

The Law of Sines for any triangle is:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Let's solve for [tex]m\angle C[/tex] first:

[tex]\frac{\sin33^{\circ}}{25}=\frac{\sin (m\angle C)}{16},\\\sin (m\angle C)=\frac{16\cdot \sin33^{\circ}}{25}, \\m\angle C= \sin^{-1}(\frac{16\cdot \sin33^{\circ}}{25})\approx \fbox{$20^{\circ}$}[/tex]

Since the sum of the interior angles in a triangle is always [tex]180^{\circ}[/tex], the measure of angle B is [tex]m\angle B=180-33-20=\fbox{$127^{\circ}$}[/tex].

Now we can use to solve for side length [tex]b[/tex]:

[tex]\frac{\sin33^{\circ}}{25}=\frac{\sin 127^{\circ}}{b},\\b=\frac{25\cdot \sin127^{\circ}}{\sin33^{\circ}}\approx \fbox{37}[/tex].

Answer:

it should be B, sorry if im wrong! :(

Step-by-step explanation:

Answer:

I think answer is

b. (2,1)

:-)

Answer:

28 inches long

Step-by-step explanation:

just multiply 7 and 4

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

Hope this helps.

Answer:

The answer is 44! The answer is 44!

Step-by-step explanation:

The answer is 44!

9514 1404 393

Answer:

  f(g(x)) = 50x² +140x +93

Step-by-step explanation:

Put the function argument in place of x and simplify.

  f(g(x)) = f(5x+7) = 2(5x+7)² -5

  = 2(25x² +70x +49) -5

  f(g(x)) = 50x² +140x +93

_____

We took advantage of the knowledge that ...

  (a + b)² = a² +2ab +b² . . . . . where a=5x and b=7

Answer:

Answer is C

Step-by-step explanation:

When you multiply the numbers you get the answer.

Answer:

The correct answer is A. I took the test.

Answer:

x=11

a=116°

b=29°

c=35°

hope is helpful

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.

5.

here x+1 [tex]\neq[/tex] 0 and x+3 [tex]\neq[/tex] 0 so the domain restrictions are x [tex]\neq[/tex] -1 and x[tex]\neq[/tex] -3

to solve you need to factor x^2 -6x-27

you can do it by using  

x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2

so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27

it will factor in (x-root 1) (x-root 2)  

x^2 -6x-27 = (x+3)(x-9)

[tex]\frac{(x+3)(x-9)}{x+1} * \frac{x+1}{x+3} =\\[/tex]

simplify x+1 and x+3

x-9

Answer:

The answer is A.

the angles are opposite angles, therefore they have the same value. they're equal to each other. you set them equal to each other to find the value of x.

Step-by-step explanation:

i hope this helps :)

Answer:

C

I am asian and a jedi master

Answer:

ok so you should get -5/24 in simplest form.

Decimal form- -0.2083 repeating

Step-by-step explanation:

Hope this helped :)

Answer:

B choice

Step-by-step explanation:

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept.

The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.

Answer: b) the slope of the line will change from positive to negative

Answer:

720 beans in total

Step-by-step explanation:

I would set this up with proportions, so-

1             180

4             x

Then cross multiply-

4 x 180 = 720

Divide-

720/1 = 720

720 is your answer

Answer:

11:35 AM

Step-by-step explanation:

Lets start with the hours:

9+2=11

Now the minutes:

15+20=35

Now put them together:

11:35 AM

Answer:

11:35

Step-by-step explanation:

9 plus 2 equals 11

20+15 equals 35