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2 years ago

is it possible for a system with linear equation and one expontential equation to have two solutions? If so sketch a graph

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

4 0

Yes, it is possible. Please see the attached photo for an example.

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If 8 girls shared a pizza with 10. How can the solve their problem?

Ainat [17]

simple math. 10 divided by 8. That would equal 1.25 or 1 1/4

Hope this helps! ^-^

4 0

3 years ago

Read 2 more answers

of a parabolic arch and is to have a span of 100 feet. The height of the arch a distance of 40 feet from the center is to be 10

JulsSmile [24]

Answer:

y = -0.11x^2 + 1.111x

y = 28 ft .... Height at center

Step-by-step explanation:

Given:-

- The span of the arc is = 100 ft

- The height of the arch is 40 ft at 10 ft from center.

Find:-

- The equation of parabolic arch and the height of the arch at center.

Solution:-

- We will take the height y as a function of width x of the parabolic arch. The general equation of the arch is such that it passes through origin. The equation is given in the form as:

y = f(x) = ax^2 + bx

Where,

a, b, and c are constants to be determined.

- We will use the condition i.e the span of entire arch is 100 ft. So we could say that y = 0 for x = 100 ft. Then we have:

0 = f(100) = a(100)^2 + b(100) ..... 1

- Using second condition i.e y = 10 ft at 40 ft from center. Since, due to symmetry we know that center lies at x = 50 ft. Then y = 10 ft at x = 10 ft. The condition can be expressed in the form:

10 = f(10) = a(10)^2 + b(10) ..... 2

- Solving the 2 Equations simultaneously, we have:

0 = a(100)^2 + b(100)

10*10 = a*10*(10)^2 + b(10)*10

100 = a(10)^3 + b(100)

- Subtract both equations:

100 = a*(10^3 - 100^2)

a = 100 / ( 1000 - 10000)

a = -0.11

- Then using a = -0.11 evaluate b:

-1.11 + 10b = 10

b = 11.11 / 10 = 1.111

- The equation of the parabola is:

y = -0.11x^2 + 1.111x

-The height of the arch at center where x = 50 ft.

y = -0.11(50)^2 + 1.111(50)

y = -27.5 + 55.5

y = 28 ft

- The height of the parabolic arch at center is given as y = 28 ft.

4 0

3 years ago

I need help with Exponential Equations, where can i go to get answers

True [87]

There are some online calculators

7 0

2 years ago

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o

Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score $(60+7(-2), 60+7(2))\\=(46, 74)$

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

$(\frac{12-60}{7}$

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

3 0

3 years ago

According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the

Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

$P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})$

[∵ $z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$ ]

$=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885$ [Using the standard z-value table]

Hence, the required probability = 0.0885

6 0

2 years ago