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Lubov Fominskaja [6]
3 years ago
9

1. Which of the following could be an example of a function with a domain (-∞, ∞) and a range (-∞, 2)?

Mathematics
1 answer:
salantis [7]3 years ago
7 0
That would be choice C  the limit  of f(x) is 2.
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Two step equation 7x - 24 = 25 i really need help with this
nekit [7.7K]

Answer:

x = 7

Step-by-step explanation:

move all terms that don't contain x to the right side and solve :)

6 0
3 years ago
Read 2 more answers
Need help with these two questions linear relations.
wel

Answer:

b. y = -7x + 4

   1.    y = -7(-5)+ 4 = 35+4= 39

   2. -24= -7x + 4

    -28 = -7x

       4 = x

    3. y = -7(0)+4= 4

    4. 0 = -7x+4

        -4= -7x

         4/7 = x

c. 3y - 5x = 15

 1. 3y - 5(6)

    3y-30=15

    3y=45

      y = 15

   2. 3(-10)-5x=15

        -30-5x=15

         -5x = 45

            x = -9

    3. 3y-5(0)=15

        3y=15

         y=5

    4. 3(0)-5x=15

         0-5x=15

          -5x=15

           x=-3

Step-by-step explanation:

3 0
3 years ago
Mrs. Scott opened an account with a deposit of $1,750. The bank pays 5% annual simple interest on this account. Mrs. Scott makes
Korolek [52]

Answer:

At the end of two years Mrs.Scott earned $1929.36 (i rounded the dec.)

Step-by-step explanation:

A= p(1+r)^t

P= 1750

r= .05

t= 2

A= 1750(1+.05)^2

A= 1929.375

3 0
3 years ago
Suppose the national mean SAT score in mathematics was 510. In a random sample of 60 graduates from Stevens High, the mean SAT s
zalisa [80]

Answer:

We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 510

Sample mean, \bar{x} = 502

Sample size, n = 60

Sample standard deviation, s = 30

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

H_{0}: \mu = 510\\H_A: \mu \neq 510

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{502- 510}{\frac{30}{\sqrt{60}} } = -2.0655

Now,

t_{critical} \text{ at 0.05 level of significance, 59 degree of freedom } = \pm 1.671

Since,              

|t_{stat}| < |t_{critical}|

We reject the null hypothesis and fail to accept it.

We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.

7 0
3 years ago
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
Valentin [98]
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

10 0
3 years ago
Read 2 more answers
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