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LiRa [457]
3 years ago
10

Solve the following system of equations Y=5x+4 Y=x2+3x-4

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:  the following system of equations  has 2 solutions

x1=4

X2=-2

Step-by-step explanation:

5*x+4=x²+3*x-4

x²-2*x-8=0

x12=(2+/-√4+4*1*8)/2

x12=(2+/-√36)/2

x1=(2+6)/2=4

x2=(2-6)/2=-2

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If f(1) = 13 and f '(x) ≥ 3 for 1 ≤ x ≤ 3, how small can f(3) possibly be?
tangare [24]

Answer:

The answer to this question is 19.

Step-by-step explanation:

Given that :

f(x)=13.

f'(x)=3.   1 ≤ x ≤ 3.

Integrate

∫f'(x) dx=∫3 dx

f(x)=3x+c        1 ≤ x ≤ 3.

f(1)= 3+c  

c=13-3 =10.

f(x)=3x+10  1 ≤ x ≤ 3.

now ,

f(3)=3(3)+10=19.

So f(3) is at least 19.

6 0
3 years ago
Identify the like terms in this expression: 3xy + 2x – 7xy + 4x2
forsale [732]

I believe the answer is C!

8 0
3 years ago
A researcher computes the definitional formula for SS, and finds that Σ(x − M) = 44. If this is a sample of 12 scores, then what
olga_2 [115]

Answer:

Option B.

Step-by-step explanation:

Given information:

Σ(x − M) = 44

where, M is mean.

Sample size = 12

The computational formula for sample variance is

s^2=\dfrac{\sum (x-M)^2}{N-1}

where, M is sample mean and N is sample size.

Substitute Σ(x − M) = 44 and N=12 in the above formula.

s^2=\dfrac{44}{12-1}

s^2=\dfrac{44}{11}

s^2=4.0

The sample variance is 4.0.

Therefore, the correct option is B.

5 0
3 years ago
you have a part time job. you work 3 hours on friday and 6 hours on saturday. you also receive an allowance of $20 per a week. y
klemol [59]
$92/week is the amount of money you gained from work combined with your $20/week allowance money. 

92 - 20 = 72 (total money made per week subtract allowance money leaves money made from work)
Thus, you make $72/week at your part time job.

You work a total of 9 hours. (3hrs on Fri & 6hrs on Sat added together)
72/9 = 8 (total amount of money made divided by the 9 hrs you worked for - gives amount of money you make per hour)
Thus, you make $8/hr at your part time job.


8 0
3 years ago
Will mark Brainlest hellpppp​
Anna007 [38]

h(-3) - h( - 2) = -  \frac{5}{  8} \\ \\

Step-by-step explanation:

\boxed{h(x) =  \frac{2 {x}^{2}  - x + 1}{3x - 2}}

h(2) =  \frac{2 {(2)}^{2}  - (2) + 1}{3(2) - 2}

h(2) =  \frac{2 {(4)}  - 2 + 1}{6 - 2}

h(2) =  \frac{ 8  - 1}{4}

h(2) =  \frac{7}{4}

h( - 3) =  \frac{2 {( - 3)}^{2}  - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) =  \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) =  \frac{18 + 4}{ - 11} \\ h( - 3) =    \frac{22}{  - 11} \\ h(-3) = -2

h( - 2) =  \frac{2 {( - 2)}^{2}  - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) =  \frac{2 (4)  +  2+ 1}{- 6 - 2} \\ h( - 2) =  \frac{8 +  3}{- 8} \\ h( - 2) =  \frac{11}{- 8}

h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8}

5 0
3 years ago
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