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3 years ago

Select the point that satisfies y ≤ x2 - 3x + 2. A. (3, 3) B. (4, 4) C. (2, 2) D. (1, 1)

2 answers:

4 0

To answer this question, you will substitute in the first number in the ordered pair for x and the second number in the ordered pair for y. For the first ordered pair, it is 3<3^2- 3 x 3 + 2. Simplified, it would say that 3<2 which is not true! For b. it would be 3<4^2- 3 x 4 + 2. Simplified, it would say that 4<6 which is true! For c. it would be 2<2^2- 3 x 2 + 2. Simplified, it would say that 2<0 which is NOT true! For d. it would be 1<1^2- 3 x 1 + 2. Simplified, it would say that 1<0 which is also NOT true!

Radda [10]3 years ago

3 0

Answer:

the answer is (4,4)

Step-by-step explanation:

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Light travels at a speed of about 186,000 miles per second. How far does light travel in 5 seconds? Use repeated addition to sol

aleksklad [387]

186,000+186,000+186,000+186,000+186,000=186,000*5=

930,000 miles in 5 seconds. Good luck my friend!

7 0

3 years ago

In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

3 years ago

A salesperson receives step commission on sales calculated as follows:

kykrilka [37]

Answer:

$2278.846

Step-by-step explanation:

Given the following commision steps :

8% on first $1000;

12% next $2000;

20% on sales above $3000

Recorded sales for a week :

Monday $1500.00

Tuesday $3000.00

Wednesday $ 970.00

Thursday $4563.81

Friday $2760.42

This assu es that commision is calculated after weekly sales:

Total:

(1500 + 3000 + 970 + 4563.81 + 2760.42)

= $12794.23

8% on first $1000

0.08 × $1000 = $80

12% of $2000 = $240

20% of $(12794.23 - 3000)

= 0.2 × 9794.23

= 1958.846

Total commision for the week :

$(80 + 240 + 1958.846)

= $2278.846

7 0

3 years ago

What would the graph of 10x + 7y < 49 look ?

navik [9.2K]

Answer: The graph is attached.

Step-by-step explanation:

1. Solve for y, as following:

$10x+7y$

2. The equation of the line in slope intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

3. In this case the equation of the line is:

$y=-\frac{10}{7}x+7$

then:

$m=-\frac{10}{7}\\\\b=7$

4. Find the x-intercept. Make y=0. Then:

$0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9$

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).

6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.

Then you obtain the graph attached.

8 0

3 years ago

Read 2 more answers

Find x+y, if: 2x+3y=8 and 3x+5y=13

joja [24]

Answer is x = 1 & y = 2
the answer can be found using math-way

4 0

3 years ago