which of the binomials below is a factor of this trinomial
x^2-13+42​

Answer:

Let's see it by an example!

The numbers are given:

5 , 77 , 23 ,45 & 0

Let's arrange this from least to greatest :

0<5<23<45<77

Note : This sign(<) means greater than.

Hope you understand!✔

You can also practice this by greatest to least!

You can use this sign(>) [ it means less than ]

SMALL Example is given :

55>2

Answer: The answer is 3.14 (also known as π)

Step-by-step explanation: The formula for the surface area of a sphere is:

A = 4πr^2

A = 4π (0.5)^2

A = 4π (0.25)

A = (4 x 0.25) π

A = 1π

A = π     or      A = 3.14

Answer:

13 5/8

Step-by-step explanation:

3 3/4+9 7/8

15/4+79/8

30/8+79/8

109/8

simplify

13 5/8

Answer:1st graph

Step-by-step explanation: did this question already

Answer: First option

Step-by-step explanation:

I did the lesson already

Answer:

-21

Step-by-step explanation: a negative times a positive will always be a negative

The rate is 16.1% and the base is the final portion with the rate added on to it.

Chance the percentage into a decimal.

16.1% / 100 = 0.161

Multiply.

454 * 0.161 = 73.094

Add.

454 + 73.094 = 527.094 or 527.09

Therefore, the final base is roughly 527.09

Best of Luck!

Answer:

[tex]=3-4i[/tex]

Step-by-step explanation:

So we have:

[tex](2-i)-(-1+3i)[/tex]

First, distribute:

[tex]=(2-i)+1-3i[/tex]

Combine like terms:

[tex]=-i-3i+2+1[/tex]

Add:

[tex]=-4i+3[/tex]

So, in the a+bi format, we will have:

[tex]=3-4i[/tex]

Answer:

3 -4i

Step-by-step explanation:

(2-i) - (-1+3i)

Distribute the minus sign

(2-i) + 1-3i

Combine like terms

3 -4i

Answer:

Undefined.

Step-by-step explanation:

Because there is a 0 in the denominator.

Answer:

Undefined

Step-by-step explanation:

Because you cant divide by 0

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Use order of operations.

42/(15-2^3)

Exponents in Parentesis

42/(15-8)

Subtraction inParenthesis

42/7

Division

6

Answer:

Step-by-step explanation:

Answer:

obtuse , 90 , 180 .

Step-by-step explanation:

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

:

Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

:

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7 {a}^{3} - 7a + 1}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(7 {a}^{3} - 2a - 2) + ( - 5a + 3) }[/tex]

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expressions remains the same. Just, remove the parentheses

⇒[tex] \sf{7 {a}^{3} - 2a - 2 - 5a + 3}[/tex]

Collect like terms

⇒[tex] \sf{7 {a}^{3} - 2a - 5a - 2 + 3}[/tex]

⇒[tex] \sf{7 {a}^{3} - 7a - 2 + 3}[/tex]

Calculate

⇒[tex] \sf{7 {a}^{3} - 7a + 1}[/tex]

Hope I helped!

Best regards!!

Answer:

  sin(x) = tan(x) = 0

  cos(x) = sec(x) = -1

  cot(x) = csc(x) = UNDEFINED

Step-by-step explanation:

An angle of -7π is co-terminal with an angle of π (or 180°). Its trig ratios are ...

  sin(x) = tan(x) = 0

  cos(x) = sec(x) = -1

  cot(x) = csc(x) = UNDEFINED

Answer:

x = 4

Step-by-step explanation:

6/x + 1/2 = 2

x(6/x + 1/2) = 2*x

x*6/x + x*1/2 = 2x

6 + x/2 = 2x

6 = 2x - x/2

6 = 4x/2 - x/2

6 = 3x/2

6*2/3 = x

12/3 = x

x = 4

probe:

6/4 + 1/2 = 2

3/2 + 1/2 = 4/2

Answer:

  C. 72 degrees

Step-by-step explanation:

Complementary angles total 90 degrees.

The second angle is ...

  90° - 18° = 72°

Answer: 510°

Step-by-step explanation:

1st.  solution.

Draw the perpendicular EP ⊥FB.

So from quadrilateral FAEP we find the∡AEP  ( sum of all angles in quadrilateral=360°)

∡AEP= 360°-∡FAE-∡AFP-∡FPE=360°-20°-90°-90°=160°

Draw CK ⊥FB

From triangle CKB we can find ∡BCK=180°-10°-90°=80°

From pentagon PEDCK (sum of PEDCK angles= 540°) we can find the sum of ∡PED+∡DCK= 540°-∡EPK-∡EDC-∡CKP= 540°-90°-90°-90°=270°

∡DEA+∡DCB=∡AEP+∡PED+∡DCK+∡KCB=160°+270°+80°=510°

Answer:

CEVAP 50ymis knk öyle dediler iwkwjskaoqkwjwhd

Answer:

21/2

Step-by-step explanation:

[tex]\frac{3}{4}\times\:14\\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:14=\frac{14}{1}\\=\frac{3}{4}\times\frac{14}{1}\\\\\mathrm{Cross-cancel\:common\:factor:}\:2\\=\frac{3}{2}\times\frac{7}{1}\\\\=\frac{3\times\:7}{2\times\:1}\\\\=\frac{21}{2}[/tex]

Answer:

The percentage of students taking exactly one courses is 38.46%.

Step-by-step explanation:

The frequency distribution table provided for the number of courses taken by part-time students is as follows:

# of Courses      Frequency         Relative            Cumulative

                                                     Frequency          Frequency

________________________________________________

             1                    20                 0.3846                     20

             2                    19                 0.3654                     39

             3                    13                 0.2500                     52

        TOTAL               52                 1.0000

The relative frequency is actually the probability or chance of the particular class or category of a frequency distribution.

The probability of students taking exactly one courses is 0.3846.

Then the percentage of students taking exactly one courses is:

0.3846 × 100% = 38.46%

Thus, the percentage of students taking exactly one courses is 38.46%.

Answer:

x=4

Step-by-step explanation:

2x+3=11

2x+3-3=11-3

2x=8

x=4

2x+3=11

2(4)+3=11

8+3=11

11=11

Answer:

x =4

Step-by-step explanation:

[tex]2x +3=11\\\\Collect \:like\:terms\\2x =11-3\\\\Subtract\\2x =8\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} =\frac{8}{2} \\\\x = 4[/tex]

Answer:

Leg ED is adjacent to theta

Answer:

3/8

Step-by-step explanation:

1/2*3/4

is

(1*3)/(2*4)

So it's 3/8

Answer:

Here,

a=[tex] \frac{1}{2} [/tex]

b=[tex] \frac{3}{4} [/tex]

Now,

[tex]ab \\ = \frac{1}{2} \times \frac{3}{4} \\ = \frac{3}{8} [/tex]

Answer:

(7, 3)

Step-by-step explanation:

(2+5, 6-3) = (7, 3)

Answer:

The percentage is  [tex]P(0.09 < \mu < 1.2 ) = 34.9\%[/tex]

Step-by-step explanation:

From the question we are told that

  The random number is  [tex]x_1 = 0.09 \ and \ x_2 = 1.2[/tex]

Generally the mean of standard normal distribution is  [tex]\mu = 0[/tex]

                 The  standard deviation of a standard normal distribution is  [tex]\sigma = 1[/tex]

The percentage of the data in a standard normal distribution lies between

  [tex]x_1 = 0.09 \ and \ x_2 = 1.2[/tex] is mathematically represented as

       [tex]P(x_1 < \mu < x_2 ) = P(\frac{x_1 - \mu}{\sigma } <\frac{X - \mu}{\sigma } < \frac{x_2 - \mu}{\sigma } )[/tex]

      [tex]P(0.09 < \mu < 1.2 ) = P(\frac{0.09 - 0}{1 } <\frac{X - \mu}{\sigma } < \frac{1.2 - 0}{1 } )[/tex]

      [tex]P(0.09 < \mu < 1.2 ) = P(0.09 <\frac{X - \mu}{\sigma } < 1.2 )[/tex]

The  [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )[/tex]

      [tex]P(0.09 < \mu < 1.2 ) = P(0.09 <Z < 1.2 )[/tex]

      [tex]P(0.09 < \mu < 1.2 ) = P (Z < 1.2 )- P( Z<0.09)[/tex]

From the z-table  

      [tex]P (Z < 1.2 )= 0.88493[/tex]

      [tex]P( Z<0.09) = 0.53586[/tex]

So

    [tex]P(0.09 < \mu < 1.2 ) = 0.88493 - 0.53586[/tex]

    [tex]P(0.09 < \mu < 1.2 ) = 0.349[/tex]

Hence the percentage  is  

     [tex]P(0.09 < \mu < 1.2 ) = 34.9\%[/tex]

Answer:

Ok, the straightforward thing you can do, when you have a number line like in this situation, you can just "count" the number of units that are between A and B.

Now, a more correct way:

First, A is located at the value -3, then we can write:

A = -3.

And B is located at the value 5, then:

B = 5.

Now, the distance between A and B is equivalent to the difference between A and B:

D = B - A = 5 - (-3) = 8

The distance between A and B is 8 units.

Answer:

2   =  0

This equation has no solution.

Step-by-step explanation:

A a non-zero constant never equals zero

Add 2 x 2 + 5 x + 6 to − 4 x 2 − x + 7

Add the expressions.

13

Answer:

-11

Step-by-step explanation:

start with PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction)

so you would first start with 14 + (-12) so the + and - become a negative so it becomes 14 - 12 which is 2

so then do -8-5 which is -13

so then you combine them and get 2-13 which is -11

Answer:

a = 2500mm

b = 5km

c = 2e+7

Step-by-step explanation:

Answer:

a)

1cm = 10mm

250cm = 250*10 = 2500mm

b)

1km = 1000m

5000m = 5000/1000 = 5km

c)

1km = 1000m

1m = 100cm

1km = 1000*100 = 100000cm

200km = 200*100000 = 20000000cm

Answer:

A

Step-by-step explanation:

So we have the piecewise function:

[tex]f(x)= \begin{cases}\sqrt{2x} & \text{if }x<3 \\2x+10 & \text{if }3\leq x<8\\42&\text{if } x\geq 8\end{cases}[/tex]

And we want to find f(8).

Since our input value is 8, choose the equation that fits our input.

The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.

The second equation demand x to e greater than or equal to 3 and less than 8. 8 is not less than 8. So, we won't use that.

The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.

So:

[tex]f(x)=42\text{ if }x\geq 8[/tex]

[tex]f(8)=42[/tex]

There're nothing more to do, we're done :)

The answer is A.

Edit: Improved Format

Answer:

50 square units

Step-by-step explanation:

Using the formula provided, [tex]a = \frac{1}{2}h(b_1+b_2)[/tex], substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.

[tex]a = \frac{1}{2}\cdot5(8+12)\\\\a = \frac{1}{2}\cdot5(20)\\\\a = \frac{1}{2}100\\\\a = 50[/tex]

Hope this helped!

Answer:

50 units²

Step-by-step explanation:

The area of a trapezoid can be found using the following formula.

[tex]A=\frac{1}{2}h(b_{1} +b_{2} )[/tex]

The height of the trapezoid is 5 units. The bases are 8 units and 12 units.

[tex]h= 5 \\b_{1} = 8\\b_{2} = 12[/tex]

Substitute the values into the formula.

[tex]A=\frac{1}{2}*5(8+12)[/tex]

Solve inside the parentheses. Add 8 and 12.

8+12=20

[tex]A=\frac{1}{2}*5(20)[/tex]

Multiply 5 and 20.

5*20= 100

[tex]A=\frac{1}{2}*100[/tex]

Multiply 1/2 and 100 or divide 100 by 2.

100 * 1/2= 50     or      100/2= 50

[tex]A= 50[/tex]

Add appropriate units. For this problem, the units are units².

[tex]A= 50 units^2[/tex]

The area of the trapezoid is 50 square units.