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3 years ago

Use the distributive property to write an experssion that is equalent to 7(3x-4)

Mathematics

2 answers:

Nady [450]3 years ago

7 0

Answer:

21x-28

Step-by-step explanation:

distribute the 7 to the 3x & the -4

you get 21x-28

photoshop1234 [79]3 years ago

6 0

Answer:

21x-28

Step-by-step explanation:

the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.

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PLEASE HELP IM DESPERATE precalculus. also 50 points!! please god help

kompoz [17]

Answer:

For B thru F these options will vary but here how you do it

B. Step 1 Draw the 4 Quadrants.

Then Draw the Triangle in the lower right quadrant which we call quadrant 4. Label the X axis as Adjacent and positive. Label the Y axis as Opposite and negative. Label the Slanted side as the hypotune and AS POSITVE SINCE HYPOTENUSE IS ALWAYS POSITIVE.

FOR C. IN QUADRANT 2, PLOT A POINT AT 0,12 AND AT (-5,0). CONNECT THE DOTS AND IT FORMS A TRIANGLE. Label the X axis as adjacent and negative and the y axis as positve and opposite and label the slanted side hypotunese and positive.

FOR D Draw a straight line along the x axis then draw a slanted line passing through (5,-1). In between them put the theta symbol in there.

The labeling is the same for C.

For E. Since tan must be positve and secant must be positve, our triangle must be in the 1st Quadrant. Draw any right triangle as long it is in the first quadrant

The x axis is adjacent and positve. The y axis is opposite and positve. The hypotenuse is the slanted side and it is positve.

For F. Since sin is negative and cos is positve the triangle is in the 4th quadrant. Draw any triangle in the 4th quadrant and the labeling is the same for Problem B.

2. We can find the sec of cos by flipping cosine.

$\cos( \frac{x}{y} ) = \sec( \frac{y}{x} )$

$\cos( \frac{1}{2} ) = \sec(2 )$

Sec is 2.

To find the cotangent, first let find the sin then tan.

We can use the identity

$\cos( {theta}^{2} ) + \sin( {theta}^{2} ) = 1$

Let plug in the number

$\cos( \frac{ {1}^{2} }{{2}^{2} } ) + \sin(x {}^{2} ) = 1$

$\cos( \frac{1}{4} ) + \sin(x {}^{2} ) = 1$

$\sin(x {}^{2} ) = 1 - \frac{1}{4}$

$\sin(x {}^{2} ) = \frac{3}{4}$

$\sin(x) = \frac{ \sqrt{3} }{ \sqrt{4} }$

$\sin(x) = \frac{ \sqrt{3} }{2}$

Since sin is negative, sin x=

$- \frac{ \sqrt{3} }{2}$

Now let apply the formula

$\frac{ \sin(x) }{ \cos(x) } = \tan(x)$

$\frac{ \frac{ - \sqrt{3} }{2} }{ \frac{1}{2} } = \tan(x)$

$- \sqrt{3}$

Now let find cotangent we can the reciprocal of

tan.

$\tan= - \sqrt{3}$

$\cot = - \frac{1}{ \sqrt{3} }$

Rationalize denominator

$\frac{ - 1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt -{ 3} }{3}$

cotangent equal

$- \frac{ \sqrt{ 3} }{3}$

4 0

3 years ago

Which statement about the function f(x)=|x+3| is true?

Stels [109]

The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

± x + 3 = 0

±x = -3

So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

Learn more about absolute maximum and minimum here :

brainly.com/question/17438358

#SPJ1

5 0

1 year ago

One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function

noname [10]

Answer:

the other zeros of this function are {-2, 3}

Step-by-step explanation:

Use synthetic division to find the roots. The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:

1 / 1 -2 -5 6

+1 -1 -6

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

1 -1 -6 0

Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial. The quotient is 1x^2 - 1x - 6, whose roots can be found either through synthetic division or factoring. In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.

8 0

3 years ago

Covert 52m to kilometers. Explain how you got your answer

Mamont248 [21]

Answer:

0.052 kilometers

Step-by-step explanation:

There are .001 kilometers in 1 meter. So to convert meters to kilometers, multiply the number of meters by .001. 52x.001=.052

I hope you understand...have an awesome day!!! C:

4 0

4 years ago

I need help with the questions in the files

Margaret [11]

Answer:

okay im sorry but i can only help with the first page so im going to use the first equation as an example. when it tells you what x equals in this case four you put it in place of the variable and put it all together and see if those two numbers egual the amount given. so here it written out:

x +11=15 x= 4

4+ 11 + 15.

in this case yes the given numbers equal the amount.

really hope this helped you!

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers