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3 years ago

What are the solutions of the system?

Mathematics

2 answers:

siniylev [52]3 years ago

8 0

$y=x^2-3x+2 \\y=4x-4$

A. (1, 0) and (–6, –28)

B. (1, 20) and (6, 0)

C. (1, 0) and (6, 20)

D. no solution

Correct answer is C.

$y=x^2-3x+2 \\y=4x-4\\ \\4x-4=x^2-3x+2 \\x^2-7x+6=0 \\x^2-6x-x+6=0 \\x(x-6)-(x-6)=0 \\(x-6)(x-1)=0 \\x=6\,\text{ or }x=1 \\y=4\times 6-4=20 \,\text{ or }y=4\times 1-4=0 \\ \\(6,20)\,\text{ and }(1,0)$

d1i1m1o1n [39]3 years ago

8 0

Do you mean in an equation

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Candy's Sweets Company charges $1.15 per pound to ship candy.

allochka39001 [22]

Answer:

Part A:

c = 1.15p

c(2) = $2.30

Part B:

c = 0.90p

Part B:

Step-by-step explanation:

Linear Models

Candy's Sweets Company charges $1.15 per pound to ship candy. This represents a proportional relationship between the pounds of candy and the cost.

Part A: If each pound costs $1.15, then p pounds cost $1.15p. Then the equation of the cost c is:

c = 1.15p

The cost of shipping p=2 pounds of candy is:

c = 1.15*2 = 2.30

c = $2.30

Part B: When the company reduces the cost by $0.25 per pound, the new unit cost is $1.15 - $0.25 = $0.90 per pound.

The new equation to determine the total cost for p pounds of candy is:

c = 0.90p

8 0

3 years ago

the height of the plant h , in inches , can be modeled by the function = 1.5t + 3 where t represent the time in weeks . Based on

Rasek [7]

Answer:

21 inches

Step-by-step explanation:

f(x)=1.5x+3

f(12)=21

7 0

2 years ago

Read 2 more answers

Find S^20 if the series 1 + 1.1 ..... is a (a) arithmetic (b) geometric

quester [9]

I'm guessing S^20 is actually referring to the 20th partial sum $S_{20}$ , with

$S_{20}=1+(1+1\times0.1)+(1+2\times0.1)+\cdots+(1+18\times0.1)+(1+19\times0.1)$

in the arithmetic case, and

$S_{20}=1+1.1+1.1^2+\cdots+1.1^{18}+1.1^{19}$

in the geometric case.

(a) Combining like terms, we have

$S_{20}=20+0.1(1+2+\cdots+18+19)$

and invoking the formula

$1+2+\cdots+(n-1)+n=\dfrac{n(n+1)}2$

we end up with

$S_{20}=20+0.1\dfrac{19\times20}2=39$

(b) Multiply $S_{20}$ by 1.1, then subtract this from $S_{20}$ :

$1.1S_{20}=1.1+1.1^2+1.1^3+\cdots+1.1^{19}+1.1^{20}$

$S_{20}-1.1S_{20}=-0.1S_{20}=1-1.1^{20}$
$\implies S_{20}=\dfrac{1.1^{20}-1}{0.1}\approx57.275$

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3 years ago

49 out of the 98 teachers in a school staff meeting were first-year teachers. What percentage of the teachers in the meeting wer

Evgesh-ka [11]

Answer:

50% of the teachers in the meeting were first-year teachers.

Step-by-step explanation:

3 0

2 years ago

write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)

REY [17]

Answer:

y = x+5

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

= ( 7-3)/(2 - -2)

( 7-3)/(2+2)

4/4

Then slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1*x+b

y = x+b

Substitute a point into the equation

7 = 2+b

7-2 =b

5=b

y = x+5

3 0

3 years ago

Read 2 more answers