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vichka [17]
3 years ago
10

Use the zero product property to find the solution to the equation 6x^2-5x=56

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

x = -8/3 or 7/2

Solution:

6x^2 - 5x = 56

6x^2 - 5x - 56 = 0

6x^2 -21x +16x - 56 = 0

3x(2x-7) + 8(2x-7) = 0

(3x + 8)(2x-7) =

3x + 8 = 0  or 2x - 7 = 0

x = -8/3 or 7/2

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Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the
AveGali [126]

Answer:

Not a subspace

Step-by-step explanation:

(4,0,0) and (0,4,0) are vectors in R3 with zero or one entries being nonzero, but their sum, (4,4,0) has two nonzero entries.

7 0
3 years ago
Help.? geometry basics homework 2: segment addition postulate
Neporo4naja [7]

The value of x is 3 given that ST = 8x + 11 and TU = 12x-1

The point that bisects a line divides the line into two equal parts

If T is the midpoint of SU, the following are true:

  • ST = TU
  • ST + TU = SU

Given the following

ST = 8x + 11

TU = 12x-1

Since ST = TU

8x+11 = 12x-1

8x - 12x = -1 - 11

-4x = -12

x = 12/4

x = 3

Hence the value of x is 3 given that ST = 8x + 11 and TU = 12x-1

Learn more here: brainly.com/question/17204733

5 0
2 years ago
Read 2 more answers
For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of eight types of​ automobile, the linear correl
Jobisdone [24]

Answer:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

Step-by-step explanation:

We have that the correlation coefficient shows the relationship between the weights and amounts of road fuel consumption of seven types of car, now the P value establishes the importance of this relationship. If the p-value is lower than a significance level (for example, 0.05), then the relationship is said to be significant, otherwise it would not be so, this case being 0.003 not significant.

The statement would be the following:

The P value indicates that the probability of a linear correlation coefficient that is at least as extreme is 0.3% which is not significant (at α = 0.05), so there is insufficient evidence to conclude that there is a linear correlation between weight and consumption. of highway fuel in cars.

5 0
3 years ago
at noon joice drove to the lake at 30 mi. per hour, but she made a long walk back at 4 mi. per hour. how long did she walk ifshe
Kryger [21]
Distance = 30 mph * time
distance = 4 mph * time

distance = 30 mph * t
distance = 4 mph * (17-t)

Since distance is equal then
30 mph * t = 4 mph * (17-t)
 
30t = -4t + 68

34t = 68

t = 2 hours

We see the return trip time is (17 -t ) which is 15 hours.
The beginning trip time is 2 hours.

Double Check
Beginning trip = 30 miles * 2 = 60 miles
Return trip = 4 miles * 15 = 60 miles.


3 0
3 years ago
Simplify. Write the expression using only positive exponents. 8x^3/2x^9
Helga [31]
4x
4 \frac{1}{ {x}^{6} }
6 0
3 years ago
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