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bonufazy [111]
3 years ago
14

-6(1 + 7k) + 7(a + 6k) < -2

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:idk

Step-by-step explanation:

You might be interested in
What is the rate of change for the function f(x)=2x-3
Stolb23 [73]

Answer:

2

Step-by-step explanation:

f(x) = 2x - 3 is a linear function

The rate of change of a linear function is the measure of the slope.

The equation is in slope- intercept form, that is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 has slope m = 2

Thus rate of change = 2

4 0
3 years ago
What is the product of -2x^3+x-5 and x^3-3x-4 ? (a) Show your work
saul85 [17]

Answer:

-3x3 - 2x - 4

Step-by-step explanation:

 ((((2•(x3))+x)-5x3)-3x)-4

 (((2x3 +  x) -  5x3) -  3x) -  4

Pulling out like terms :

4.1     Pull out like factors :

  -3x3 - 2x - 4  =   -1 • (3x3 + 2x + 4)

Polynomial Roots Calculator :

4.2    Find roots (zeroes) of :       F(x) = 3x3 + 2x + 4

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

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  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  3  and the Trailing Constant is  4.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2 ,4

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -1.00    

     -1       3        -0.33        3.22    

     -2       1        -2.00        -24.00    

     -2       3        -0.67        1.78    

     -4       1        -4.00        -196.00    

     -4       3        -1.33        -5.78    

     1       1        1.00        9.00    

     1       3        0.33        4.78    

     2       1        2.00        32.00    

     2       3        0.67        6.22    

     4       1        4.00        204.00    

     4       3        1.33        13.78    

Polynomial Roots Calculator found no rational roots

Final result :

 -3x3 - 2x - 4

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
What are the solutions to the system of equations <br> {-x+y=4<br> {y+12=x^2+x
Gnoma [55]

Answer:

Step-by-step explanation:

y=4+x          ............................................ (1)

y=x^2+x-12  ............................................ (2)

now equate both (1) and (2)

4+x=x^2+x-12

=>x^2=16

x=-4,4

now substitute the values of x ,

when x=-4 , y becomes 0

when x=4  , y becomes 8

so, solution set:

(-4,0) and (4,8)

8 0
3 years ago
Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ab
zhenek [66]

Answer:

test statistic is ≈ -0.36

p-value is  ≈ 0.64

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

Step-by-step explanation:

a hypothesis test where H_0: mu = 235 and H_1:mu > 235

test statistic can be calculated as follows:

z=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • sample mean driving distance (233.8 yards)
  • M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)
  • s is the standard deviation (46.6 yards)
  • N is the sample size (192)

Then test statistic is z=\frac{233.8-235}{\frac{46.6}{\sqrt{192} } } =-0.3568

p-value is  0.64 >0.05

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

6 0
4 years ago
Copy the problems onto your paper, mark the givens and prove the statements asked. Given: ∠BTO ≅ ∠IWE WI ≅ BT , OW ≅ ET Prove: △
Varvara68 [4.7K]

Answer:

\triangle BOT \cong \triangle IEW

Step-by-step explanation:

We are given the following in the question:

\angle BTO \cong \angle IWE\\WI \cong BT\\OT \cong EW

We have to prove:

\triangle BOT \cong \triangle IEW

Proof:

\text{In }\triangle BOT \text{ and } \triangle IEW

we can write:

\angle BTO = \angle IWE\text{ (Given)}\\WI \cong BT\text{ (Given)}\\OT \cong EW\text{ (Given)}

Hence, the two triangle are congruent by SAS congruency rule.

\triangle BOT \cong \triangle IEW

The attached image shows the two triangle.

8 0
3 years ago
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