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3 years ago

James is studying different kinds of weather.

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

What ?

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Solve the following system of equations and show all work. <br><br> y = -x^2 + 4<br> y = 2x + 1

Pavel [41]

-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0 -x + 1 = 0
x = -3 -x = -1
x = 1

so x = -3 and x = 1

8 0

3 years ago

Please answer In(5x-3)=4

Goshia [24]

Answer:

$\huge\boxed{Answer\hookleftarrow}$

$(5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4$

<h3>⎆ The answer will be, <u>x = 7/5 (in fraction form) & x = 1.4 (in standard form)</u><u>.</u></h3>

# ꧁❣ RainbowSalt2²2² ࿐

8 0

3 years ago

Which of the following numbers is written in scientific notation?

nata0808 [166]

Answer:

i think is b

Step-by-step explanation:

8 0

2 years ago

Write down a fraction whose value lies between 3 and 4; whose denominator is a multiple of 5; whose numerator is a multiple of 1

slamgirl [31]

Answer:

33/10 and 55/15

Step-by-step explanation:

Possible denominators that are multiples of 5 less than 17 are 5, 10, 15.

Corresponding numerator ranges are [15, 20], [30, 40], and [45, 60]. In only two of these ranges are there any multiples of 11.

33 in [30, 40]

55 in [45, 60]

So, there are only two possible fractions meeting your requirement:

33/10 and 55/15

6 0

3 years ago

A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)

klasskru [66]

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

$\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt$

$\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt$

$= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}$

$= 330.45 - 109.72$

$= 220.7333$

Answer: 221

3 0

3 years ago