Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)​

Answer: c

Step-by-step explanation:

Answer:

Subtract both sides by 2x

Divide each side by 6

Step-by-step explanation:

2x+6 = 8x

Subtract both sides by 2x

2x+6 -2x = 8x-2x

6 = 6x

Divide each side by 6

6/6 = 6x/6

1 =x

Answer:

n=10

Step-by-step explanation:

The given equation is  

[tex]10+12+14+...+2n=90[/tex]        ...(1)

Let nth term is 2n.

We need to find the values of n.

It is clear that [tex]S_n=10+12+14+...+2n[/tex] is sum of A.P., whose first term is 10 and common difference is 2.

Sum of A.P. is  

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where, a is first term and d is common difference.

Substitute a=10 and d=2 in the above formula.

[tex]S_n=\dfrac{n}{2}[2(10)+(n-1)2][/tex]

[tex]10+12+14+...+2n=n[10+n-1][/tex]

[tex]10+12+14+...+2n=n[9+n][/tex]     ...(2)

From (1) and (2), we get

[tex]n(9+n)=90[/tex]

[tex]n^2+9n-90=0[/tex]

Splitting middle term, we get

[tex]n^2+15n-6n-90=0[/tex]

[tex]n(n+15)-6(n+15)=0[/tex]

[tex](n+15)(n-6)=0[/tex]

[tex]n=-15,6[/tex]

Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.

Note: nth term and variable n both are different.

[tex]a_n=a+(n-1)d[/tex]

[tex]a_6=10+(6-1)2=10+10=20[/tex]

Sixth term is 20. So,

[tex]2n=20[/tex]

[tex]n=10[/tex]

Therefore, the value of n is 10.

Answer:

The answer is 37° (C)

Step-by-step explanation:

Answer:

1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.

Answer:

rational numbers and real numbers

Step-by-step explanation:

Rational numbers is part of the real numbers family and so therefore it is also a real number.

Answer:

16 cm

Bob is correct

Step-by-step explanation:

Perimeter of a square = 4 × side’s length

Then

the side length = 64/4 = 16

Answer:

perimeter of square =4l

64/4cm=l

l=16cm

therefore

bob is correct.

Answer:

63 units

Step-by-step explanation:

If the perimeter of 1/3 of the rectangle is 21, multiply 21 by 3 to find the perimeter of the entire rectangle.

21 x 3 = 63

Answer:

c

Step-by-step explanation:

no because the adjacent sides are not perpendicular.

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 99 - 10 + 1 = 90 numbers between 10 and 99

There are 18 numbers that have at least one two digit.

[tex]\frac{18}{90}=\frac{1}{5}[/tex]

Answer:

Yes,  k is lower bound for the real zeros of the function.

Step-by-step explanation:

Lower Bound Theorem:

If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.

Given;

4x³ - 2x² + 2x + 4

k = -1

synthetic division;

-1 ]    4       -2        2        4

        ↓         -4        6       -8

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

        4         -6       8          -4  

(the result has alternating signs, hence k is lower bound)

Thus, k is lower bound for the real zeros of the function.

Answer:

One sister gets 12 and the other gets 16

Step-by-step explanation:

Sister A : sister B: total

3                 4            3+4 =7

Take the total amount and divide by 7

28/7 = 4

Multiply each side by 4

Sister A : sister B: total

3 *4          4*4           7*4

12               16           28

Answer:

12(2x-1)

Step-by-step explanation:

24x - 12

Factor out a 12 from each term

12*2x -12*1

12(2x-1)

Answer:

[tex]12(2x - 1)[/tex]

Step-by-step explanation:

[tex]24x - 12[/tex]

Factor out a 12 from each

[tex]24x - 12 \\ 12(2x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Yes.

Step-by-step explanation:

When you simplify the ratio of 4:12, dividing it by 4, you will get 1:3.

Answer:

Yes it is equivalent

Step-by-step explanation:

Yes because 1*4= 4

And 3*4=12

That is 1/3 is equivalent to 4/12

You can say that 1:3 is in proportion with 4:12

or 1:3::4:12

Answer:

Dirección y magnitud

Espero que esto ayude.

Answer:

Dirección y magnitud

Step-by-step explanation:

Answer:

Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease.

Step-by-step explanation:

Answer:

314cm²

Step-by-step explanation:

Surface area(sphere) =4πr²

4 * 3.14 * (5²)

4 * 3.14 * 25

Hence, Surface area is 314sq.cm

the answer is C, the curve is a one to one function

Answer:

you didn't do anything wrong who ever said you did is stupid

The answer is attached.

Answer:

Inscribed Angle (A)

Step-by-step explanation:

in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

Answer:

2/3

Step-by-step explanation:

There are 6 marbles in the jar

4 are not purple

P(not purple) = marbles that are not purple/ total marbles

                      = 4/6 = 2/3

Answer:

2/3

Step-by-step explanation:

since there are 6 total marbles and 4 of them are colors other than purple, there is a 4/6 chance of drawing a marble that is not purple which can be simplified to 2/3.

Answer: 5

Step-by-step explanation:

Range means the  difference between the largest and smallest values. Which would be 3 and 8.

Answer:

8 problems

Step-by-step explanation:

32 - 32*1/4 - 32*1/2= 32 - 8 - 16= 8 problems

Answer:

a = 2

Step-by-step explanation:

We can use cross products to solve

8         a

----- = -------

28        7

8*7 = 28*a

Divide each side by 28

56/28 = 28a/28

2 =a

Answer:

2

Step-by-step explanation:

Given:  

    8         a

 ------- = ------   Find the value of a that makes this equation true.  

   28        7

  Cross multiplying, we get 28a  =  56, and so a works out to 2.

Check:  Does 8/28 = 2/7?  Yes.

Answer:

w=12 ft

l= 20 ft

A.

P= 2(12+20)= 64 ft

A= 12*20= 240 ft²

B.

P=2(12*1.2+20*1.2)= 76.8 ft

A= 12*1.2*20*1.2= 345.6 ft²

C.

(76.8-64)/64*100%= 20%

(345.6- 240)/240*100%= 44%

D.

perimeter increase is linear function of one dimension increase

area increase is function of 2 dimensions increase

__________________________________

The right answer is Acute.

Explanation

Acute angle triangle are those which is more than 0 degree and less than 90 degree.

Hope it help

Good luck on your assignment

________________________________

Answer:

Option D. will be the answer.

Step-by-step explanation:

Given function is f(x) = 2x³ + 2x² - x

Table of input and output:

Input (x)     -2        -1         0         1          2

Output (y)  -6         1         0         3        22

Option (A).

From the graph attached,

It passes the vertical line test.

Option (B).

Since every input value gives a unique output value, it's not a many-to-one function.

Option (C).

It's a function.

Option (D).

It's a one-to-one function.

Answer: It is a many-to-one function.

Step-by-step explanation:

just did the test

Answer :

is approximately 100 cm ²

Step -by-step explanation

[tex]r \: = 10 \\ l \: = 21.81 \\ T.S.A \: of a \: cone\: = \pi \times r(r + l)[/tex]

[tex] \frac{22}{7} \times 10(10 + 21.81) \\ \frac{22}{7} \times 10(31.81) \\ \frac{22}{7} \times 318.1[/tex]

[tex] \frac{22}{7} \times 318.1 \\ = 999.7 \\ = 100 {cm}^{2} [/tex]

Answer:

x =2                x = -4

Step-by-step explanation:

-5|x + 1|+ 3 = -12

Subtract 3 from each side

-5|x + 1|+ 3-3 = -12 -3

-5|x + 1| = -15

Divide each side by -5

-5/-5|x + 1| = -15/-5

|x + 1| = 3

Since this is an absolute value, we have two solutions one positive and one negative

x+1 = 3     x+1 = -3

Subtract 1 from each side

x+1-1 = 3-1     x+1-1 = -3-1

x =2                x = -4

Answer:

the answer is c

Step-by-step explanation:

Answer:4log5=4log5

Step-by-step explanation:

Take the log of both sides

log5^4 =log 625

By log log a^b=b loga

4log 5=log5^4

4log5 =4log 5

Expressions and equations can be written in logarithmic forms.

The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

The equation is given as:

[tex]5^4 = 625[/tex]

Take the logarithm of both sides of the equation

[tex]\log(5^4) = \log(625)[/tex]

Apply law of logarithm

[tex]4\log(5) = \log(625)[/tex]

Divide both sides of the equation by log(5)

[tex]4 = \frac{\log(625)}{\log(5)}[/tex]

Apply change of base law of logarithm

[tex]4 = \log_5(625)[/tex]

Rewrite the equation as follows:

[tex]\log_5(625) = 4[/tex]

Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

Read more about logarithms at:

https://brainly.com/question/7988782

Answer:27/28

1/4+5/7

TakingLCM

7+20/28

27/28

Answer: 27/28

Step-by-step explanation:

1/4 + 5/7

= 7/28 + 20/28

= 27/28