the range of values of x for which 11-2x>1​

Answer:

  x³ +7x² +7x -15

Step-by-step explanation:

Apply the distributive property repeatedly, and/or recognize the ways that the coefficients of the product are formed.

distributive property

  (x -1)(x +3)(x +5)

  = (x -1)(x(x +5) +3(x +5))

  = (x -1)(x² +5x +3x +15) = (x -1)(x² +8x +15)

  = x(x² +8x +15) -1(x² +8x +15)

  = x³ +8x² +15x -x² -8x -15

  = x³ +7x² +7x -15

__

using knowledge of products of powers

The x³ term will be the product of all of the x-terms.

The x² term will be the pairwise sum of products of two x-terms and the third constant.

The x term will be the pairwise sum of products of one x-term and the two other constants.

The constant term will be the product of all of the constants.

These computations are simplified a bit because all of the x-coefficients are 1.

  = x³ +(-1 +3 +5)x² +(-1·3 +(-1)·5 +3·5)x +(-1)·3·5

  = x³ +7x² +7x -15

The number of basket balls donated is; 28 basket balls

We are told that;

Ratio of basket balls to soccer balls = 7:6

Now, the number of soccer balls donated was 24.

This, means fraction of the total number of balls x for soccer balls was; [6/(7 + 6)]x

Thus;

[6/(7 + 6)]x = 24

6x/13 = 24

6x = 24 × 13

6x = 312

x = 312/6

x = 52 balls

Now, since total balls are 52 and soccer balls are 24, then;

Number of basketballs = 52 - 24

Number of basketballs = 28 basketballs

Read more about fraction and proportions at; https://brainly.com/question/1581333

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

Learn more about real interest rate here:https://brainly.com/question/6106690

Answer:

[tex]\displaystyle 3x^2 + x[/tex]

Explanation:

All you are doing is combining like-terms:

[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]

I am joyous to assist you at any time.

Answer:

  (B)  26°

Step-by-step explanation:

The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.

∠ACB = 90° -64°

∠ACB = 26°

Step-by-step explanation:

-5 - 2x < - 4

Bringing like terms on one side

-2x < - 4 + 5

-2x < 1

x < - 1/2

Option none is the correct answer

Answer:

6

Step-by-step explanation:

Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:

9 - 3 = 6

137 - 16X = Y

Since Lorraine is picking blackberries in her backyard at a rate of 15 berries per minute, and after 16 minutes of picking, there are still 137 blackberries left to pick, to determine an equation that models how many berries are left (y) after x minutes of picking, the following calculation must be performed:

137 - 16X = Y

Thus, for example, after 5 minutes the calculation would be as follows:

Learn more about maths in https://brainly.com/question/25989509

Answer:

All of these?

Answer:

54

Step-by-step explanation:

45% * 120 = 54

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]

Answer:

y = - 5

Step-by-step explanation:

locate x = - 1 on the x- axis, go vertically down to meet the line at (- 1, - 5 )

Then when x = - 1 the value of y = - 5

Answer:

The answer is 8!

Step-by-step explanation:

75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)

Alternative method:

Answer:

8

Hope you could get an idea from here.

Doubt clarification - use comment section.

i mean i dont know what you want me to help but good luck

The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

The given parameters are:

[tex]a = 12000[/tex] --- the initial value of the car

[tex]r = 12\%[/tex] -- the loss per year

The estimation is an illustration of an exponential function.

An exponential function is represented as:

[tex]y = a(1 -r)^x[/tex]

Rewrite as a function

[tex]f(x) = a(1 -r)^x[/tex]

Substitute values for (a) and (r)

[tex]f(x) = 12000(1 -12\%)^x[/tex]

Express 12% as decimal

[tex]f(x) = 12000(1 -0.12)^x[/tex]

Subtract 0.12 from 1

[tex]f(x) = 12000(0.88)^x[/tex]

The graph of f(x) has a horizontal asymptote at x = 0.

Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

Read more about exponential functions at:

https://brainly.com/question/12940982

Answer:

Step-by-step explanation:

the answer is -480

Answer:

x = -24

Step-by-step explanation:

First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you

- 3/8x = 15-6

-3/8x = 9

Divide both sides by - 3/8

Then x = - 24

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

a) 8c⁴d⁵/2c³d³

1: you would divide the 8 by 2

2: subtract the exponents on c so it would be 4-3 = 1

3: subtract the exponents on d so it would br 5-3 = 2

4: put it all together so it would be 4c¹d² but you dont need the 1 above c

b) 1: divide 9 by 3

2: subtract exponents on a so it would be 3-1 = 2

3: subtract exponents on b so it would be 5-2 = 3

4: put it all together so it would be 3a²b³

hope this helped!! :)

                              Answer:

a.   4cd²       b.  3a²b³

Step-by-step explanation:

        [tex]\frac{8c^4d^5}{2c^3d^3}[/tex]

 =    [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]  

  =     [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex]    Reduce number.  Substract exponent largest power

                           smallest power  

   =   4cd²  

b.    [tex]\frac{9a^3b^5}{3ab^2}[/tex]

        [tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]

        [tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex]       Reduce number.  Substract exponent largest power

                              smallest power  

    = 3a²b³

Answer:

5

7

..................

Answer:

y equals -2x -7

y equals 3/4 x plus 2 1/2

Answer:

nope

Step-by-step explanation:

A-(b-c)=(A-b)-c

let a be 2, b be 3 and c be 4

2-(3-4)=(2-3)-4

2-(-1)=(-1)-4

2+1=-1-4

3=-5

therefore, association is not goot under subtraction

Answer:

No, the associative property does not hold good for the subtraction of integers.

Answer:

Step-by-step explanation:

c

Answer: c.50 is the answer

Answer:

j>3

Step-by-step explanation:

hope this helps sorry if it doesn't have a great rest of your night :)❤

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

Answer:

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

Answer:

(6,2) x=6 y=2

Step-by-step explanation:

Answer:

..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?