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mariarad [96]
3 years ago
11

Solve x2 – 8x + 15 < 0. Select the critical points for the inequality shown.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
5 0

Answer:

x> 17/8

Step-by-step explanation:

add the numbers

17-8x<0

move the constant to the right-hand side and change its sign

-8x<-17

Divide both side of the inequality by -8 and flip the inequality sign

x>17/8

You might be interested in
(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
Math<br><br><br> is my answer correct??
matrenka [14]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Here's the solution ~

The given points are : (-7 , -4) and (1 , 1)

now, let's use distance formula to find the distance between them !

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:\sqrt{(x_2 - x_1)² +( y_2 - y_1)² }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( - 7 - 1) {}^{2}  + ( - 4  - 1) {}^{2} }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{( - 8)² +(  - 5)² }

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{64 + 25}

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \sqrt{89}

3 0
2 years ago
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
svlad2 [7]

Answer:

11,8,5

Step-by-step explanation:

an=11-3(n-1)

Let n=1

a1 = 11 - 3(1-1)

    = 11 -0

    =11

Let n=2

a2 = 11-3(2-1)

     = 11 -3(1)

     = 8

Let n=3

a3 = 11-3(3-1)

    = 11 -3(2)

    = 11 -6

    =5

5 0
3 years ago
0. 00147 in standard form
fenix001 [56]

Answer:

Answer: It can be written as 1.47x10-³

Step-by-step explanation:

0.00147 = 1.47

1.47 = 1.47 x 10 -^3

4 0
3 years ago
Factor the expression: 2x^2 + 5x + 2
UNO [17]
Your answer will be (2x+1)(x+2)
5 0
3 years ago
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