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Mariana [72]
3 years ago
14

If 4 is subtracted from twice a number, the result is10 less than the number. Find the number.

Mathematics
1 answer:
a_sh-v [17]3 years ago
7 0

Let the number be x ,,, 2x-4=x-10x=-6

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here are the first five terms of a quadratic sequence (1 8, 21, 40, 65). the nth term of this sequence can be written in the for
bazaltina [42]

Answer:

a=3 and b=-2

Step-by-step explanation:

We are given that five  terms of a quadratic sequence are

1 8, 21, 40, 65.

The nth term of this sequence

=an^2+bn

We have to find the value of a and b where a and b are integers.

For n=1

a+b=1   ......(1)

For n=2

(2)^2a+2b=8

4a+2b=8

2a+b=4   .....(2)

Subtract equation (1) from (2) we get

2a-a=4-1=3

a=3

Using the value of a=3 in equation (1)

3+b=1

b=1-3=-2

Hence, the value of

a=3 and b=-2

5 0
3 years ago
** FOR 30 POINTS**<br><br> what is the height of the triangular prism shown above?
velikii [3]
Hope this helps ya. byUsing the hypotenuse method

7 0
3 years ago
Attempted but just couldnt understand (25Points)​
Rashid [163]

Answer:

a) Function:Yes

b) Domain: -5\:

c) Range:  -5\le y\le 3

Step-by-step explanation:

The given graph passes vertical line test hence it is a function

The given function has x-intercepts at x=-4.5, x=-1,x=3.5

We can therefore write this function in factored form as y=a(2x+9)(x+1)(2x-7)

There is a y-intercept at (0,-2)

-2=a(2*0+9)(0+1)(2*0-7)

-2=-63a

a=\frac{2}{63}

The required function is

y=\frac{2}{63}(2x+9)(x+1)(2x-7)

b) The domain refers to all values of x for which this function is defined.

The domain from the graph is -5\: because there are holes at the end of the graph.

c) The range is the value of y for which x is defined or the graph exists.

From the graph the range is -5\le y\le 3

5 0
3 years ago
Tell whether –4 is a solution of the inequality.<br> —3x + 2 &lt; 15. YES OR NO?
NikAS [45]

Answer:

YES

Step-by-step explanation:

-3 times -4 = 12

12 + 2 = 14

14 < 15

7 0
3 years ago
For which of the following is x = -5 a solution? Select all that apply.
ser-zykov [4K]

Answer:

b. -x^2 + 50 = 25

c. |2x| = 10

d. x < 0

e. 2x < 10

Step-by-step explanation:

x = -5

-(-5)² + 50

-25 + 50 = 25

|2(-5)| = |-10| = 10

-5 < 0

2(-5) = -10 < 10

8 0
3 years ago
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