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3 years ago

(2x-1)(3x+4) as a trinomial

Mathematics

1 answer:

mojhsa [17]3 years ago

8 0

Step-by-step explanation:

(2x - 1)(3x + 4)

= 6x² + 8x - 3x - 4

= 6x² + 5x - 4.

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4 employees drive to work in the same car. the workers claim they were late to work because of a flat tire. their managers ask t

Brums [2.3K]

Answer:

The required probability is 0.015625.

Step-by-step explanation:

Consider the provided information.

There number of tires are 4.

The number of workers are 4.

The probability that individual select front drivers side tire = $\frac{1}{4}$

The probability that they all select front drivers side,tire is: $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}=\frac{1}{256}$

Similarly,

The probability that they all select front passenger side, tire is: $\frac{1}{256}$

The probability that they all select rear driver side,tire is: $\frac{1}{256}$

The probability that they all select rear passenger side, tire is: $\frac{1}{256}$

Hence, the probability that all four workers select the same tire = $\frac{1}{256}+ \frac{1}{256}+\frac{1}{256}+\frac{1}{256}$

the probability that all four workers select the same tire = $\frac{4}{256}=\frac{1}{64}=0.015625$

Hence, the required probability is 0.015625.

5 0

3 years ago

mei has 15 oranges,9 peaches, and 18 pears. she wants to put all of the fruit into decorative baskets, what's the greats number

pashok25 [27]

Answer:

15,9,8 can be divided by 3

so, the greatest number of fruit in each basket is 3 Step-by-step explanation:

6 0

3 years ago

The highest common factor (HCF) of 140 and x is 20

Zielflug [23.3K]

Answer:

x=60

Step-by-step explanation:

Given that ,

HCF of 140 and x=20,

LCM of 140 and x =420.

Solution:

It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:

140*x= HCF*LCM

Putting in the values provided,

140*x=20*420

140*x=8400

x=8400/140

x=60

Hence the variable x is 60.

5 0

3 years ago

Find the average value of f over region

SVETLANKA909090 [29]

$D$ is a right triangle with base length 1 and height 8, so the area of $D$ is $\dfrac12(1)(8)=4$ .

The average value of $f(x,y)$ over $D$ is given by the ratio

$\dfrac{\displaystyle\iint_Df(x,y)\,\mathrm dA}{\displaystyle\iint_D\mathrm dA}$

The denominator is just the area of $D$ , which we already know. The average value is then simplified to

$\displaystyle\frac74\iint_Dxy\,\mathrm dA$

In the $x,y$ -plane, we can describe the region $D$ as all points $(x,y)$ that lie between the lines $y=0$ and $y=8x$ (the lines which coincide with the triangle's base and hypotenuse, respectively), taking $0\le x\le1$ . So, the integral is given by, and evaluates to,

$\displaystyle\frac74\int_{x=0}^{x=1}\int_{y=0}^{y=8x}xy\,\mathrm dy\,\mathrm dx=\frac78\int_{x=0}^{x=1}xy^2\bigg|_{y=0}^{y=8x}\,\mathrm dx$
$=\displaystyle56\int_{x=0}^{x=1}x^3\,\mathrm dx$
$=14x^4\bigg|_{x=0}^{x=1}$
$=14$

3 0

3 years ago

At the county fair, the Baxter family bought 6 hot dogs and 4 juice drinks for $14.70. The Farley family bought 3 hot dogs and 4

photoshop1234 [79]

Answer:

A hot dog would cost 1.75 and the juice would cost 1.05

Step-by-step explanation:

In order to find this, set x as the number of hot dogs and y as the number of juice drinks. This allows us to set up the following equations for each situation.

6x + 4y = 14.70

3x + 4y = 9.45

Now we can mutliply the second equation by -2 to get the x values to cancel out.

6x + 4y = 14.70

-6x - 8y = -18.90

------------------------

-4y = -4.20

y = 1.05

Now that we have this, we can plug it into either equation to find the cost of a hot dog.

3x + 4y = 9.45

3x + 4(1.05) = 9.45

3x + 4.20 = 9.45

3x = 5.25

x = 1.75

6 0

3 years ago