1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
deff fn [24]
4 years ago
5

Simplify (3x − 5) + (5x + 1). 8x − 6 8x + 4 8x − 4 2x − 4

Mathematics
1 answer:
TiliK225 [7]4 years ago
5 0
Simply the expression.

4x^2-58.2x-9
 
You might be interested in
Find , , and if and terminates in quadrant .
ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

,

• cos2x

,

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})=\frac{12}{13}

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\  \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

\tan 2x=\frac{2\tan x}{1-\tan ^2x}=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}=\frac{\frac{4}{3}}{1-\frac{4}{9}}=\frac{\frac{4}{3}}{\frac{9-4}{9}}=\frac{\frac{4}{3}}{\frac{5}{9}}=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}

OR

\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0
2 years ago
Suppose j varies jointly with g and​ v, and j=2 when g=4 and v=3. <br> Find j when g=8 and v=9.
vladimir2022 [97]

Answer:

j=12

Step-by-step explanation:

we know that

In a join variation, If j varies jointly with respect to g and v, the equation will be of the form j = kgv

where k is a constant

step 1

Find the value of k

we have

j=2,g=4,v=3

substitute and solve for k

2 = k(4)(3)

2 = 12k

k=\frac{1}{6}

The equation is equal to

j=\frac{1}{6}gv

step 2

Find the value of j when g=8,v=9

substitute the values in the equation and solve for j

j=\frac{1}{6}(8)(9)

j=12

3 0
3 years ago
Your friend attempted to factor an expression as shown. Find the error in your friends work. Then factor the expression correctl
loris [4]

Answer:

Third step is incorrect. The correct factored form is (x-1)(2x-5).

Step-by-step explanation:

The given expression is

2x^2-7x+5

We need to find the factored form of this expression.

Step 1: Given

2x^2-7x+5

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).

2x^2-5x-2x+5

(2x^2-5x)+(-2x+5)

Step 3: Taking out common factors from each parenthesis.

x(2x-5)-1(2x-5)

Step 4: Taking out common factors.

(x-1)(2x-5)

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).

3 0
3 years ago
Which of the following is the value of 2x' +5x+9 when x =10?
stealth61 [152]

Answer:

The correct answer is: 259.

7 0
4 years ago
The sales price of a single family house in Charlotte is normally distributed with mean $210,000 and standard deviation $35,000.
Lady_Fox [76]

Answer:

E(X ¯)=210,000.

Step-by-step explanation:

A sampling distribution for samples of size n=49 from a population with means μ=210,000 and standard deviation σ=35,000, has the following means anda standard deviation:

\mu_s=\mu=210,000\\\\\sigma_s=\sigma/\sqrt{n}=35,000/\sqrt{49}=35,000/7=5,000

If X ¯ is the mean sales price of the sample, it will have a mean value of E(X ¯)=210,000.

7 0
3 years ago
Other questions:
  • The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the
    7·2 answers
  • How are the expressions 1/4 of 12 and 12 divided by 4 related
    7·2 answers
  • PLSSSS!!!! HELP ME PLS!!!! I WILL MARK U!!!!!
    10·1 answer
  • Evaluate 2LW + 2HL + 2HW for L = 3,W = 2, and H = 4. 48 46
    6·2 answers
  • Vel 2
    15·1 answer
  • Someone please help me by tonight I'm trying not to fail math. Also I will Brainliest if you help me get the right answer please
    6·1 answer
  • Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
    5·1 answer
  • What is 9-3 divided by 1/3 +1? pls help me and i will give you a brainlist
    12·1 answer
  • What is the end behavior of f(x)
    13·1 answer
  • Challenge An arts academy requires there to be 4 teachers for every 96 students and 6 tutors for every 66 students. How many stu
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!