find the indicated functional value for the floor function: f(-3/2)

a. -2
b. 0
c. -1
d. 1

Answer:

The diagonals are congruent.

Step-by-step explanation:

Answer:

1) The diagonals are congruent.

3) The opposite angles are congruent.

4) The opposite sides are parallel.

Step-by-step explanation:Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other. 4 In parallelogram QRST, diagonal is drawn. Which statement must always be true?

if it does not work sorry

Answer:

X=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Conclusion:

Therefore

Hoped this helped.

[tex]GeniusUser[/tex]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

Answer:

yo what is your question??????

Step-by-step explanation:

Maybe c 7 to 2

don't know when you find out tell me

Answer: 28 hours over 172$ that mean 6.14 per hour

so 257.88$ minimum for 42 hours

Step-by-step explanation:

28 hours over 172$ that mean 6.14 per hour

so if we say she work in one day 6 hours that mean in one weak 42 hours

so 42*6.14=  257.88 $

1.

The new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

12x + 3y = 1 (2)

We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

⇒4x + 6y = 8 (3)

Replacing (1) by (3), we have

4x + 6y = 8 (3)

12x + 3y = 1 (2)

So, the new system of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.

2.

The new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

x - 7y = 8  (1)

5x + 4y = 20 (2)

We multiply equation (1) by 3, we have

So, x - 7y = 8 (1) × 3

⇒3x - 21y = 24 (3)

Replacing (1) by (3), we have

3x - 21y = 24 (3)

5x + 4y = 20 (2)

So, the new system of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

https://brainly.com/question/2972832

Answer:

Step-by-step explanation:

( x , y ) ----> ( x - 1 , y ) ------> ( 2(x-1) , 2y ) = ( 2x - 2 , 2y )

Answer:

1,081

[tex]f( - 4) = 9( - 4 - 7) {}^{2} - 8 \\ f( - 4) = 9( - 11 {)}^{2} - 8 \\ f( - 4) = 1081[/tex]

Answer:

24000

Step-by-step explanation:

400 can be rounded to 400 and 63 can be rounded to 60

400x60=24000

your exact product would be 26271

hope this helps

Answer:  B though im not sure

Step-by-step explanation:

Answer:

10m

Step-by-step explanation:

The number of basket balls donated is; 28 basket balls

We are told that;

Ratio of basket balls to soccer balls = 7:6

Now, the number of soccer balls donated was 24.

This, means fraction of the total number of balls x for soccer balls was; [6/(7 + 6)]x

Thus;

[6/(7 + 6)]x = 24

6x/13 = 24

6x = 24 × 13

6x = 312

x = 312/6

x = 52 balls

Now, since total balls are 52 and soccer balls are 24, then;

Number of basketballs = 52 - 24

Number of basketballs = 28 basketballs

Read more about fraction and proportions at; https://brainly.com/question/1581333

Answer: Darren got 75% of the questions correct.

Step-by-step explanation:

To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.

42 ÷ 56 = 0.75

0.75 X 100 = 75

So, Darren got 75% of the questions correct.

Answer:

a = - 2, [tex]\frac{9}{4}[/tex] , b = 2, - [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Since x = 1, y = 2 is a solution to the equations , then substitute these values into the 2 equations and solve for a and b

a + 2b = 2 → (1)

b + 2a² = 10 → (2)

In (1) subtract 2b from both sides

a = 2 - 2b → (3)

Substitute a = 2 - 2b into (2)

b + 2(2 - 2b)² = 10 ← expand parenthesis using FOIL

b + 2(4 - 8b + 4b²) = 10 ( simplify left side )

b + 8 - 16b + 8b² = 10 ( subtract 10 from both sides )

8b² - 15b - 2 = 0

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term

product = 8 × - 2 = - 16 and sum = - 15

The factors are - 16 and + 1

Use these factors to split the b- term

8b² - 16b + b - 2 = 0 ( factor first/second and third/fourth terms )

8b(b - 2) + 1(b - 2) = 0 ← factor out (b - 2) from each term

(b - 2)(8b + 1) = 0

Equate each factor to zero and solve for b

b - 2 = 0 ⇒ b = 2

8b + 1 = 0 ⇒ 8b = - 1 ⇒ b = - [tex]\frac{1}{8}[/tex]

Substitute these values into (3) and evaluate for a

b = 2 ⇒ a = 2 - 2(2) = 2 - 4 = - 2

b = - [tex]\frac{1}{8}[/tex] ⇒ a = 2 - 2(- [tex]\frac{1}{8}[/tex] ) = 2 + [tex]\frac{1}{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]

The possible values of a and b are 8, -3 or 9/4 , -1/8 respectively.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equations are,

ax + by = 2            (1)

and bx + a²y = 10        (2)

Also, x = 1 and y = 2 are the solution of the equation,

Substitute x = 1 and y = 2in equation (1),

a(1) + b(2) = 2

a + 2b = 2       (3)

Further substitute x = 1 and y = 2 in equation (2),

b(1) + a²(2)  = 10  

2a² + b = 10         (4)

By solving equation (3) and (4),

The possible values of a are 8 and 9/4.

And possible value of b are -3 and -1/8.

To know more about Equation on:

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#SPJ2

Answer:

  (x, y) = (1.89, 0.59)

Step-by-step explanation:

Written in general form, the equations are ...

  4x +5y -10.51 = 0

  3x +8y -10.39 = 0

These can be solved using the cross-multiplication method to find ...

  ∆1 = (4)(8) -(3)(5) = 17

  ∆2 = (5)(-10.39) -(8)(-10.51) = 32.13

  ∆3 = (-10.51)(3) -(-10.39)(4) = 10.03

Then the values of the variables are ...

  x = ∆2/∆1 = 32.13/17 = 1.89

  y = ∆3/∆1 = 10.03/17 = 0.59

The solution is (x, y) = (1.89, 0.59).

Answer:

Answer: LCM of 4, 6, and 8 is 24.

Answer:

Step-by-step explanation:

8 → 8, 16, 24, 32, 40

4 → 4, 8, 12, 16, 20, 24, 28, 32, 36

6 → 6, 12, 18, 24, 30, 36

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

So the LCM is 24.

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

- Hope it helps!

- Have a good day!

Answer:

43.5

Step-by-step explanation:

x/2+5y-1.5

10/2+5×8-1.5

5+40-1.5

5+38.5

=43.5

Answer:

43.5

Step-by-step explanation:

x ÷ 2 + 5y - 1.5

Start by replacing the x's and y's

10 ÷ 2 + (5 · 8) - 1.5

Start with parenthesis

10 ÷ 2 + 40 - 1.5

Then do the division

5 + 40 - 1.5

Then go left to right

45 - 1.5

43.5

I hope this helps!!!

Answer:

[tex]6x -2\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]4x + \frac{1}{2} + 2x - 3[/tex]              Addition of like terms

[tex]6x + \frac{1}{2} - 3[/tex]                      Addition of content terms  

[tex]6x -2\frac{1}{2}[/tex]

Answer:

11

Step-by-step explanation:

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]

Answer: the answer is C

Step-by-step explanation: trust me took the final yesterday ‍♀️

Answer:

C) [tex]f(x)=(x-1)^\frac{1}{2}[/tex]

Step-by-step explanation:

The graph shows a radical function that starts at (0,1). This must mean that the original function had been translated to the right one unit. Therefore, [tex]f(x)=(x-1)^\frac{1}{2}[/tex] is correct.

Answer:

Andie has 48 and Brian has 24

hope it's correct

Answer:

Hewo There!!!

____________________

Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

____________________

“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

The value of x that will make the expression equal is 4. Option B is correct.

Given the indices expression;

[tex]3^{2x+1} = 3^{x+5}[/tex]

Since the base values are the same, they will cancel out to have:

[tex]2x + 1 = x + 5[/tex]

Collect the like terms:

[tex]2x - x = 5 - 1\\x = 4\\[/tex]

Hence the value of x that will make the expression equal is 4

Learn more on indices here: https://brainly.com/question/10339517

Answer:

the correct option is C which is 4

Step-by-step explanation:

jesus loves you!!!!!!!!!

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

Answer:

a^2b^2+6abx+9c^2

Step-by-step explanation:

(a + b)2 = a2 + 2ab + b2

(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2

Hey there!

(ab + 3c)^2

= (ab + 3c)(ab + 3c)

DISTRIBUTE

= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)

= a^2 b^2 + 3abc + 3abc + 9c^2

COMBINE the LIKE TERMS

= a^2 b^2 + 6abc + 9c^2

Therefore, your answer is:

a^2 b^2 + 6abc + 9c^2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)