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3 years ago

Graph this Function 1: f(x) = −3x2 + 2

Mathematics

1 answer:

jasenka [17]3 years ago

3 0

I guess that's f(x) = -3x^2+2

Well :

-3x^2+2=0

-3x^2=-2 / : (-3)

x^2= -2/-3

x^2= 2/3 / sqrt

x= +/ - sqrt(2)/sqrt(3)

We got the zero points.

x ~ +/- 0.81

f(0)= -3(0)^2 + 2

f(0)= 2

Mark three points:

(0.81;0)

(-0.81;0)

(0;2)

Connect with parabolic line and ya got a your graph

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maria wants a bracelet for $16.00 the sales tax is 6% how much will she pay total for the bracelet , including tax

Llana [10]

Answer:

She will pay 16.96 for the bracelet

3 0

3 years ago

The product of two positive consecutive integers is 24 more than 6 times the first number.

STALIN [3.7K]

Answer:

The product of two integers is 72.

Step-by-step explanation:

Let,

x and x+1 be the two consecutive positive integers.

According to given statement;

The product of two positive consecutive integers is 24 more than 6 times the first number.

x(x+1) = 6x+24

$x^2+x=6x+24\\x^2+x-6x-24=0\\x^2-5x-24=0\\x^2-8x+3x-24=0\\x(x-8)+3(x-8)=0\\(x-8)(x+3)=0\\$

Either,

x-8 = 0

x=8

Or,

x+3 = 0

x=-3

As the integer is positive, therefore, the two integers are 8 and 9.

Product of two integers = 8*9 = 72

Hence,

The product of two integers is 72.

8 0

3 years ago

What is the value of x?

Anestetic [448]

They are congruent triangles,

Ratio of their corresponding sides is 5:25, =1:5 (look for hypotenuse)

so, 5x = 18-x (same manner for variable one)

18 = 6x

x=3

SO, OPTION C IS THE ANSWER.

6 0

3 years ago

Read 2 more answers

Basic Computation: Testing M1 2 M2 A random sample of 49 measurements from a population with population standard deviation 3 had

Elenna [48]

Answer:

The sample statistics follows a standard normal distribution since the sample size are large enough.

Step-by-step explanation:

Given that:

<u>First population:</u>

Sample size $n_1$ = 49

Population standard deviation $\sigma_1$ = 3

Sample mean $\overline x _1$ = 10

<u>Second population:</u>

Sample size $n_2$ = 64

Population standard deviation $\sigma_2$ = 4

Sample mean $\overline x_2$ = 12

The sample statistics follows a standard normal distribution since the sample size are large enough.

The null and alternative hypotheses can be computed as:

$\mathbf{H_o:\mu_1=\mu_2}$

$\mathbf{H_1:\mu_1\ne\mu_2}$

Level of significance = 0.01

Using the Z-test statistics;

$Z = \dfrac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}}$

$Z = \dfrac{10- 12}{\sqrt{\dfrac{3^2}{49} + \dfrac{4^2}{64}}}$

$Z = \dfrac{-2}{\sqrt{\dfrac{9}{49} + \dfrac{16}{64}}}$

$Z = \dfrac{-2}{\sqrt{0.18367 +0.25}}$

$Z = \dfrac{-2}{\sqrt{0.43367}}$

$Z = \dfrac{-2}{0.658536}$

Z = - 3.037

Z $\simeq$ - 3.04

The P-value = 2P (z < -3.04)

From the z tables

= 2 × (0.00118)

= 0.00236

Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses $H_o$

5 0

3 years ago

A clydesdale drinks about 120 gallons of water every 4 days at this rate about how many gallons of water does clydesdale drink i

nignag [31]

In 28 days, a clysedale would drink about 840 gallons of water. Due to the fact that clysedale drinks 120 gallons of water every 4 days, you would first find the number of gallons that it can drink in one day, so 120 divided by 4 equals 30, so the horse drinks 30 gallons of water a day. To find out how many many gallons the clysdale would drink in 28 days, you need to multiply 30 by 28, to find the answer of 840.

5 0

3 years ago