Which expression has been solved with the following number line?

SANA MAKATULONG

#CARRYONLEARNING

Answer:

2

Step-by-step explanation:

sin 90 is 1;

cos 360 is cos 0, or 1; and

tan 0 is 0.

Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2

Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.

The function is:

[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]

The zeroes are:

[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]

Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.

Then:

[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]

Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].

A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253

Answer:

y=−5x+3. Explanation: The y-intercept on a straight line graph is always the constant. In that the constant is the value of c

Step-by-step explanation:

Answer:

3) a = 9

4) v = 16

Step-by-step explanation:

Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.

Problem 3

First, let's distribute the 5 onto both terms in the parentheses.

5(a - 3) = 30

5(a) - 5(3) = 30

5a - 15 = 30

Next, we can add 15 to both sides to isolate a.

5a - 15 = 30

5a = 45

Finally, divide both sides by 5 to find the value of a.

5a = 45

a = 9

Problem 4

First, let's remove 2 from both sides of the equation.

v/2 + 2 = 10

v/2 = 8

Then, we can multiply both sides by 2 to find the value of v.

v/2 = 8

v = 16

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]

[tex]\huge\text{NUMBER 2}[/tex]

[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A cube root function has the form of [tex]y = x^\frac{1}{3}[/tex]

The graph is given as:

[tex]y = \sqrt[3]{x}[/tex]

Rewrite the function as:

[tex]y = x^\frac{1}{3}[/tex]

The above function is the parent function of a cube root function, and it passes through point (0,0).

See attachment for the graph of function [tex]y = \sqrt[3]{x}[/tex]

Read more about cube root functions at:

https://brainly.com/question/13793603

Answer: d on edge

Step-by-step explanation:

d

Answer:

4,500 hope this help

Step-by-step explanation:

Answer:

I don't know sorry

Answer:

The answer should be [tex]y=mx+b[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex] is the only thing I can think of when your talking about the equation of the line in intercept form, but I'm 85% sure this is correct.

Hope this helps!

Can you mark me brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Answer:

A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.

I think that's the answer

Answer: y = -3x - 3

Step-by-step explanation:

If you are looking for a line that is parallel, then it must have the same gradient

Therefore;

y= -3x +c

And because it passes through (0,3), substitute in the values to find c

3 = -3 x 0 + c

c = 3

So the equations would be y = -3x -3

Answer:

w is 22.5°

See solution in the photo

Answer:

22.5⁰

Step-by-step explanation:

<Q = <S = 5w⁰

<R + <S = 180 (Linear pair)

3w + 5w = 180

8w = 180

w = 180/8

w = 22.5⁰

Answer:

Step-by-step explanation:

The volume of Prism A is ...

  V = LWH

  V = (8 ft)(4 ft)(5 f) = 160 ft³

Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...

  length = 20 ft

  width = 20 ft

  height = 0.4 ft

Step-by-step explanation:

We know that

Volume of prism = lwh

=> 8 × 4 × 5

=> 32 × 5

=> 160 ft³

So,

The possible length, height and width could be

Length = 10 ft

Breadth = 8 ft

Height = 2 ft

Answer:

C

Step-by-step explanation:

40x + 3

Answer:

A y = 3x + 40

Step-by-step explanation:

He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.

So, to find the amount of money he would make in one day your equation should look something like this

y = 3x + 40

y being that amount of money he makes in one day

3 being that amount of money he receives for every delivery

x being the number of deliveries he makes in one day

40 being that amount of money he makes in one day.

_________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake; I enjoy learning from them:)

Answer:

w= 25

Step-by-step explanation:

Cost of water= (w -1)¢

Cost of milk= (2w -11)¢

Let the certain number be x.

x(w -1)¢= 480¢ -----(1)

x(2w -11)¢= 780¢ -----(2)

From (1):

wx -x= 480 -----(3)

From (2):

2wx -11x= 780 -----(4)

(3) ×2:

2wx -2x= 960 -----(5)

(5) -(4):

(2wx -2x) -(2wx -11x)= 960 -780

Expand:

2wx -2x -2wx +11x= 180

9x= 180

Divide both sides by 9:

x= 180 ÷9

x= 20

Substitute x= 20 into (3):

w(20) -20= 480

20w -20= 480

20w= 480 +20

20w= 500

w= 500 ÷20

w= 25

Answer:

there is a 20% chance that a vase will be cracked

Step-by-step explanation:

Answer:

2/10 = 1/5 = 0.2 = 20%

Step-by-step explanation:

The price per foot is $0.91

Step-by-step explanation:

A 6-yard roll of butcher paper costs 16.38

1 yard = 3 foot

6 yards = 3 times 6 = 18 foot

the cost of 18 foot is $16.38

To find price per foot, we divide the cost of 6 yards by 18

16.38÷ 18 = 0.91

The price per foot is $0.91

Answer:

250 because 250 times .4 equals 100

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Divide the price by the weight 10 / 4.5 = $2.22 per pound

The product of the function is 2x^2+ 5x - 3

We are to find the product of the functions x + 3 and 2x -1

Taking the product:

f(x)g(x) = (x+3)(2x -1)

f(x)g(x) = x(2x) - x(1) + 3(2x) + 3(-1)

f(x)g(x) = 2x^2 - x + 6x - 3

f(x)g(x) = 2x^2+ 5x - 3

Hence the product of the function is 2x^2+ 5x - 3

Learn more on product of functions here: https://brainly.com/question/25638609

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Answer:

3(4-2P) = 6*4

12-6P=24

-6P=24-12

P= 12/-6

P= -2

Answer:

no solutions

Step-by-step explanation:

5+2x = 2x+6

Subtract 2x from each side

5+2x-2x = 2x+6-2x

5 = 6

This is not a true statement so there are no solutions

Answer:

-11, -3.

Step-by-step explanation:

x^2 + 14x + 33 =0

To factor this we need 2 numbers whose product is 33 and whose sum is 14 .

These are 3 and 11, so:

(x + 3)(x + 11) = 0

x = 11, -3.

Answer:

  (b)  3 +x = 12

Step-by-step explanation:

To solve these for x, you would ...

  a) divide by 3

  b) subtract 3

  c) add 3

  d) multiply by 3

The subtraction property of equality says you can subtract the same value from both sides of an equation without affecting the value of the variable(s). It is applicable when you need to subtract a quantity in order to get the variable by itself.

Solving 3 +x = 12 would make use of the Subtraction Property.

Answer:

x=2, perimeter=14

Step-by-step explanation:

Finding x

(x+1)(x+2)

x^2+2x+x+2=12

x^2+3x-10

x^2-2x+5x-10

x(x-2)5(x-2)

(x+5)(x-2)

x=-5

x=2

Length or Width should be a positve number.

x=2

Perimeter:

3+3+4+4=14

Answer:

y=(5/6)x

Step-by-step explanation:

its how much it rises over how much it runs. so it goes up 5 and to the right 6

Answer:

Step-by-step explanation:

The y intercept is 0. The point that holds the y intercept is (0,0)

The slope is

m = y / x

y = 10

x = 12

m = 10/12

m = 5/6

The equation is y = 5/6 x which looks like D

The amount of money they must have to be able to buy the items is Php958.25

The amount of money that they must have is the sum of all the amount expressed as:

Total amount  = Php135 + Php123.75 +  Php525.75 + Php96.25 + Php77.5

Total amount = Php958.25

Hence the amount of money they must have to be able to buy the items is Php958.25

Learn more on cost here: https://brainly.com/question/11408596

[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]

Answer:

x

Step-by-step explanation:

Refer to '<' as ' less than or equal to '

Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )

with that in mind

* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3

so to equate both sides, let's multiply each by the denominator they are lacking.

* 2x - 3/5 lacks 3 compared to -x/3.

* similarly, -x/3 lacks 5 compared to 2x - 3/5

multiply both by what they lack (2)

thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2

* 6x - 9/ 15 - 5x/15 < 2

we can now combine the numerators since we now have a common denominator which is 15.

* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.

criss cross

* x - 9 < 30

* x < 39