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3 years ago

Which expression is equivalent to -12 (3x-3/4)? a. -36x-8 b. -36x+8 c. -36x-9 d. -36 x+9

Mathematics

1 answer:

prisoha [69]3 years ago

3 0

Answer:

-36x +9

Step-by-step explanation:

-12 (3x-3/4)

Distribute

-12*3x - 12*-3/4

-36x +9

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75% of a number is 120. What is 40% of the number? A. 36 B. 64 C. 138 D. 225

kakasveta [241]

Answer:

B.64

Step-by-step explanation:

75% of a number is 120.

Let's take "x" be the number.

75% of x = 120

75/100 * x = 120

0.75x = 120

x = 120/0.75

x = 160

So the number is 160.

Now we have to find the 40% of the number 160.

= 40/100 * 160

= 0.4 *160

= 64

40% of the number is B.64

Thank you.

4 0

3 years ago

Read 2 more answers

A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0

3 years ago

Determine the average rate of change from 0 to 4 for the function f(x)=2^x-3

IrinaVladis [17]

If the question meant f(x)=2^(x) -3 then the answer should be 1 over 4 or 1/4

4 0

3 years ago

Suppose that you are conducting a survey on how many students have blue eyes in each first period classroom at Garfield Middle s

rusak2 [61]

Answer:

The correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean

Explanation:

To calculate how many standard deviations a particular value in a group is from the mean, you can use the z-score:

$z-score=(x-\mu )/\sigma$

Where:

$z-score$ is the number of standard deviations the value of x is from the mean

$\mu$ is the mean

$\sigma$ is the standard deviation

Substitute in the formula:

$z-score=(10-6)/2=4/2=2$

Which means that the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

4 0

4 years ago

a plumber charges $55 for a service call plus $35 per hour. if the plumber’s bill was $160, how many hours was he there?

Allushta [10]

He was there for 3 hours cause 3 x 35 = 105 but 105 + 55 = 160

5 0

3 years ago

Read 2 more answers