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yan [13]
2 years ago
9

Factor: 28k^3-24k^2+49k-42 I will give Brainliest to the first person :)

Mathematics
2 answers:
GrogVix [38]2 years ago
7 0

Answer:

(7k - 6) (4k^{2} + 7)

Step-by-step explanation:

28k^{3} - 24k^{2} + 49k - 42

= (28k^{3} - 24k^{2}) + (49k - 42)

= 4k^{2} (7k - 6) + 7 (7k - 6)

= (7k - 6) (4k^{2} + 7)

seropon [69]2 years ago
5 0

Answer:

(4k^2+7)(7k-6)

Step-by-step explanation:

Factor each half of the expression separately:

4k^2(7k-6)+7(7k-6)

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

(4k^2+7)(7k-6)

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A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght
expeople1 [14]

Answer:

8.5m^{2}+ m -5

Step-by-step explanation:

Since perimeter, P=19m^{2}+ 2m -10 and we know that P=2(l+w) then P=2(l+m^{2})=2l+2m^{2}

The length will be 2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10

Now l=8.5m^{2}+ m -5

6 0
3 years ago
X² + y² = 8
ohaa [14]

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

\text{Hence,}~ (x,y) = (\pm2, \pm 2)

3 0
2 years ago
The length of the diving board is 378 centimeters what is iys length in meters
Alina [70]
1 meter=100 centimeters
7 0
3 years ago
Read 2 more answers
Use the data in LAWSCH85 for this exercise. (i) Using the same model as in Problem 4 in Chapter 3, state and test the null hypot
natka813 [3]

Answer:

Step-by-step explanation:

In the model

Log (salary) = B0 + B1LSAT +B2GPA +B3log(libvol) +B4log(cost)+B5 rank+u

The hypothesis that rank has no effect on log (salary) is H0:B5 = 0. The estimated equation (now with standard errors) is

               Log (salary) =    8.34 +    .0047 LSAT +   .248 GPA +   .095 log(libvol)

                                        (0.53)     (.0040)              (.090)            (.033)

                                         +     .038 log(cost)    – .0033 rank

                                              (.032)                    (.0003)

                   n = 136,    R2 = .842.

The t statistic on rank is –11(i.e. 0.0033/0.0003), which is very significant. If rank decreases by 10 (which is a move up for a law school), median starting salary is predicted to increase by about 3.3%.

(ii) LSAT is not statistically significant (t statistic ≈1.18) but GPA is very significance (t statistic  ≈2.76). The test for joint significance is moot given that GPA is so significant, but for completeness the F statistic is about 9.95 (with 2 and 130 df) and p-value ≈.0001.

6 0
3 years ago
Jake is 50cm tall. Mike is 12cm taller than Jake. Tim is 11cm taller than Mike. How tall is Tim?
igor_vitrenko [27]
You do (50+12)+11             to get Tim's height. 
               Mike  Plus Taller

Which is... 73 cm!!
Easy, right? Except that it is like 2 ft tall...
7 0
3 years ago
Read 2 more answers
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