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nirvana33 [79]
2 years ago
7

Using {0,1,3,4,5,6,9}, how many four-digit numbers with different digits can be produced between 4000 to 5000, if the numbers mu

st be divisible by 9?
Mathematics
1 answer:
bogdanovich [222]2 years ago
8 0

Answer:18

Step-by-step explanation:

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Let f(x) = -2x + 7 and g(x) = -6x + 3. Find fxg and state its domain.
marissa [1.9K]

Option D: (f\times g)(x)=12 x^{2}-48 x+21; all real numbers.

Explanation:

Given that the functions are f(x)=-2 x+7 and g(x)=-6 x+3

We need to determine the value of (f\times g)(x) and its domain.

<u>The value of </u>(f\times g)(x)<u>:</u>

The value of (f\times g)(x) can be determined by multiplying the two functions.

Thus, we have,

(f\times g)(x)=f(x)\times g(x)

                =(-2x+7)(-6x+3)

                =12x^2-6x-42x+21

(f\times g)(x)=12 x^{2}-48 x+21

Thus, the value of (f\times g)(x) is (f\times g)(x)=12 x^{2}-48 x+21

<u>Domain:</u>

We need to determine the domain of the function (f\times g)(x)

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Thus, the function (f\times g)(x)=12 x^{2}-48 x+21 has no undefined constraints, the function is well defined for all real numbers.

Hence, Option D is the correct answer.

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2 years ago
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HELP ASAP 10 POINTSSS
kiruha [24]

Answer:

Complementary angles, adjacent angles

Step-by-step explanation:

Which relationships describe angles 1 and 2?

Options: Complementary angles, vertical angles, supplementary angles, adjacent angles

Angles 1 and 2 are opposite to the 90° angle. So, the angles' relationship to that angles is a vertical angle, meaning that the two add up to 90°.

Complementary angles add up to 90°, so this option is correct.

Vertical angles are the pairs of opposite angles formed by two intersecting lines. Because the two angles do not follow this definition, this option is incorrect.

Supplementary angles add up to 180°. However, we know that the two add up to 90°, so this option is incorrect.

Adjacent angles are angles that are next to each other, so this option is correct.

I hope this helps! Feel free to ask any questions!

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2 years ago
I have a friend who is really stressed and depressed and couldn't get this done. it's 2am for them so they're going to sleep. I
lisabon 2012 [21]

Answer:

Step-by-step explanation:

first problem:

3 is a solution to x^2=9, so to a, b, c and d

second problem

-2 is a solution to:

a, b, c and d because (-2)^2=4, 4=4, b) 5*(-2)^2=5*4=20 and so on

basically to all choices

the third, solve the equations:

x^2=1, \sqrt{x^2}=\sqrt{1}, x=1

x^2=81 sqrtx^2=sqrt81, x=+and -9

4x^2=1 divide by 4 , x^2=1/4, x=+&- 1/2 (plus si minus 1/2, amindoua solutiile sint valabile)

3x^2=75, we divide by 3, we get x^2=25, x=+&-5

49x^2=121 , x=+and- 11/7

25x^2=225 divide by 25, x^2=9, x =+and - 3

36x^2=144 we divide by 36, we get x^2=4, x = +and- 2

x^2-0.25=0  x^2=0.25, x=+and - 1/2

2x^2-0.32=0 ,  2x^2=0.32, x^2=0.16 ( i divided by 2) , x=+and- 2/5

4x^2=0.04, divide by 4, x^2=0.01, x=+and - 0.1

3x^2=10.8, divide by 3, x^2=3.6, x=+and - 1,89

for the : determinati solutiile ecuatiilor

a) (x-1)^2=49, do the quadratic, you get x=8 and -6

due to the length of this page, i cant explain every step

b) (2x+1)^2=81, you get x= 4 and -5

c)(3x-1)^2=121, do the quadratic, x=- 10/3 and +4

d) 3(x-3)^2=48, we divide by 3 first , (x-3)^2=16,  we get x=7 and -1

e)5(x+2)^2=45 we divide by 5, (x+2)^2=9,  x=+1and -5

f) 7(2x-1)^2=175 we divide by 7 and we have (2x-1)^2=25 x=+3 and -2

Determine x belong to R

a) 1/9 x^2=16, we multiply 9*16=144, x^2=144, x=+and - 12

1/100x^2-1/64=0, or 1/100 x^2=1/64, x=+and - 5/4

1/25 x^2=0.49, x^2=0.49*25=12.25, x=+ and - 7/2

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2 years ago
The word problem below has too much information. Which facts are not
tester [92]

Answer:20%

Step-by-step explanation:

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3 years ago
Wyatt went on a 40 mile bike ride. If his average speed was 7 1/2 miles per hour, how long did his trip take?
ANTONII [103]
You would do 40 divided by 7.5
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