if f(x) = 3x - 12 what is f(2)

Answer:

The measure of angle θ is 7π/4. The measure of its reference angle is 45°, and tan θ is -1.

Answered by GAUTHMATH

Answer:

Step 3

Step-by-step explanation:

Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?

Given :

4(x - 1/5) = 2 2/3

Open the bracket

4x - 4/5 = 2 2/3

Add 4/5 to both sides

4x - 4/5 + 4/5 = 8/3 + 4/5

Lcm of 3 and 5 = 15

4x = (40 + 12) / 15

4x = 40/15 + 12/15

4x = 52/15

Multiply by 1/4

4x * 1/4 = 52/15 * 1/4

x = 52 / 60

x = 13 / 15

Hence, the error is in step 3

15/5 * 3 = 12

Rather ; Leonardo wrote 16

Answer:

4

Step-by-step explanation:

3*10=10+5s

30 = 10 + 5s

30-10 = 5s

or, 20/5= s

or, 4 =s

therefore the value of s is 4.

thank you

Answer:

k = 5/3

x = 21

Step-by-step explanation:

Here, we have two similar shapes

The scale factor here would be the ratio of the corresponding similar sides

so we have k as 15/9 = 5/3

To find the value of x

When two shapes are similar, the ratio of the sides corresponding are equal

So we have it that;

x/35 = 9/15

= 15 * x = 9 * 35

15x = 315

x = 315/15

x = 21

(-4)+12+(-20)

= 12 + (-24)

= -12

Answer:

-12

Step-by-step explanation:

The solution is in the picture ^_^ I hope it helps

Answer:

i don't understand the question

Answer:

[tex]\$3,125[/tex]

Step-by-step explanation:

Let [tex]s[/tex] represent the amount of money he initially started with.

After he spent 20% on books, he will have [tex]100\%-20\%=80\%[/tex] of his initial money left. We can represent this as [tex]0.8s[/tex].

Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have [tex]100\%-20\%=80\%[/tex] of the remainder of money he had left after he purchased the books. Therefore, he ends up with [tex]0.8(0.8s)=0.64s[/tex] of his money left.

Since we're given that he had $2,000 after all these transactions, we have the following equation:

[tex]0.64s=\$2,000[/tex]

Divide both sides by 0.64 to isolate and solve for [tex]s[/tex]:

[tex]s=\frac{2,000}{0.64}=\boxed{\$3,125}[/tex]

Therefore, the boy had $3,125 to begin with.

Answer:

2800

Step-by-step explanation:

20%+20%=40%

40/100x2000=2800

Answer:

I believe this would be the answer?

Step-by-step explanation:

{2, 3, 4, 6, 8, 9, 10, 12}

Answer:

f = - [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Given

f + [tex]\frac{1}{4}[/tex] = - [tex]\frac{7}{2}[/tex]

Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

4f + 1 = - 14 ( subtract 1 from both sides )

4f = - 15 ( divide both sides by 4 )

f = - [tex]\frac{15}{4}[/tex]

Answer:

t ≈ 3.65 s

Step-by-step explanation:

Let the distance the object travels after leaving the balloon be x.

Using Newton's equation of motion, we have;

s = ut + ½gt²

We are given;

s = 30 m

u = -10 m/s (negative because it is an upward motion)

Thus;

30 = -10t + ½(10)t²

30 = -10t + 5t²

5t² - 10t - 30 = 0

Using quadratic formula, we have;

t ≈ 3.65 s

Answer:

9x-18=y

Step-by-step explanation:

by switching the places of x and y and solving for y

Answer:

Step-by-step explanation:

The total distance = 1/6 + 3/8 miles Change the denominators to 24

D = 1/6 + 3/8 = 4*1/6*4 + 3*3 / 8 * 3

D = 4/24 + 9/24

D = 13/24 of mile.

Answer:

D

Step-by-step explanation:

because 3x - 12y = 15 has only numbers that are divisible by 3 leaving just one single x term, and the other terms simply reduce their used numbers to still integer numbers (4 and 5).

this makes it easier to be used in the other equation.

[tex]\displaystyle\bf \left \{ {{y=-2x+4} \atop {y=-\frac{1}{3} x-1}} \right. => \\\\\\-2x+4 =-\frac{1}{3}x -1\\\\-\frac{5}{3} x=-5\\\\\boxed{x=3\quad ; \quad y=-2}[/tex]

Answer:

-2 = -2

Step-by-step explanation:

You need to substitute the values of y and x.

(X,Y) =

(3, -2)

y= - 2x + 4

-2= -2(3) +4

-2= - 6 + 4

-2=-2

y= - 1/3x - 1

-2= - 1/3 (3) - 1

-2 = -1 -1

-2 = -2

The answer is  -2 = -2, so this means that both equations are true

Answer:

22°

Step-by-step explanation:

180° - 158° = 22°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

[tex]S_5=\dfrac{170}{9}[/tex]

Step-by-step explanation:

Given that,

The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]

We need to find the sum of the first 5 terms.

Put n = 5,

[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]

So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].

Answer:

Correct answer B 130

Step-by-step explanation:

<FAE=90

<AFE=40

We have a triangle, so <FEA= 180-90+40=50

<FEA+FEB= 18-, so 180-50=130

AB parralel to CD then <ECD=130

Answer:

if this is helpful to you...

plz do follow

Answer:

x=24 y=131

Step-by-step explanation:

it is right answer

Answer:

x = 24, y = 131

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180°

Sum the 3 angles and equate to 180

72 + 35 + 25 + 2x = 180 , that is

2x + 132 = 180 ( subtract 132 from both sides )

2x = 48 ( divide both sides by 2 )

x = 48

--------------------------------------------

Similarly in the lower triangle

25 + x + y = 180

25 + 24 + y = 180

49 + y = 180 ( subtract 49 from both sides )

y = 131

Answer:

volume of the sphere=4/3πr³

=4/3×3×2³

=32 feet³

Answer:

32 ft³

Step-by-step explanation:

Hi there!

[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius

Plug in the given radius, 2 ft

[tex]V=\frac{4}{3} \pi (2)^3[/tex]

Plug in the given value of π, 3

[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]

Therefore, the volume of the sphere is 32 ft³.

I hope this helps!

Answer:

c) 25 cm^2

d) 52.5 cm^2

Step-by-step explanation:

5*2 = 1

10/2 = 5

40/2 = 20

20+5 = 25

This is just scratch work^

Answer: -42

Step-by-step explanation:

-4(n-6)+m

and then they give you the values of each

basically what you do is put the value of m into where it shows on the equation as well as the n.

-4(-5-6)+2 and then you should get

-42

its the third choice

Hello,

[tex]Let's\ say \\\\z=\sqrt{3+4*i} =a+b*i\\\\z^2=3+4*i=(a+b*i)^2=a^2-b^2+2i*a*b\\\\\\if \ a\neq 0\\\left\{\begin{array}{ccc}a^2+b^2&=&3\\2ab=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b=\dfrac{2}{a}\\a^2-(\dfrac{2}{a})^2=2\\\end{array}\right.\\\\\\a^4-4=3*a^2\\a^4-3a^2-4=0\\\\\Delta=(-3)^2-4*1*(-4)=25=5^2\\\\a^2=4\ or \ a^2=-1 (impossible)\\\\So:\\(a=2\ and\ b=1)\ or\ (a=-2\ and\ b=-1)\\[/tex]

Roots are thus 2+i and -2-i

There is an other using a geometrical formula (formule de Moivre)

Step-by-step explanation:

we don't see a picture, and you don't not give us any detailed information (all specific numbers like the scale factor are missing in your text). so, it is impossible to calculate anything.

but you can do it yourself very easily.

let's call the same factor "f".

that means you have to multiply the side lengths of every side of ABC by that factor f to get the cushions side lengths is the sides in DEF.

that's it.

that's all that has to be done.

so, assuming that A -> D, B -> E, C -> F

then

AB × f = DE

BC × f = EF

CA × f = FD

as I said - that's it. just use the actual numbers and multiply.

All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC and DEF are similar.

And, the scale factor from ABC to DEF is 2.

Now, We get;

This means that each side of the triangle ABC were multiplied by the scale factor 2 in order to get the triangle DEF.

Based on the above, you can set up the following equations;

⇒ DE = 2AB

⇒ EF = 2BC

⇒ DF = 2CA

Finally, substituting the corresponding lengths of the triangle ABC into the equations, and then evaluating, you get the following result:

⇒ DE = 2 x 2 = 4

⇒ EF = 2 x 4 = 8

⇒ DF = 2 x 6 = 12

Thus, All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ7

Answer:

B: g(x) = -4(x + 3)^2

Step-by-step explanation:

When we shift to the left by a units

we have the new equation become

( x + 3)^2

Stretching by a factor of 4, we have it that;

4(x + 3)^2

reflecting over the x-axis means the y-axis value becomes negative

So we have

g(x) = -4(x + 3)^2

Answer:

Step-by-step explanation:

We'll start with going form exponential to radical, since it may be easier to follow. For example,

[tex]x^{\frac{4}{3}[/tex] can be written, in radical form, as

[tex]\sqrt[3]{x^4}[/tex]. What happens is that the denominator of the fraction serves as the index (the number that sits in the bend of the radical) and the numerator serves as the power on the variable (or number, if that's the case). Let's look at another one:

[tex]4^{\frac{2}{3}[/tex] becomes

[tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]

And you can go the other way with it. For example,

[tex]\sqrt[5]{x^4}[/tex] becomes

[tex]x^{\frac{4}{5}[/tex], etc. Get it?

Answer:

When you're given a problem in radical form, you may have an easier time if you You can rewrite every radical as an exponent by using the following property — the top ... For example, 643/2 is easier if you write it as (641/2)3 = 83 = 512 rather than (643)1/2,  Rewrite the entire expression using rational exponents.