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Sav [38]
3 years ago
15

A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an ineq

uality as x+2x+6<50, where xrepresents the smaller number.
From the set (13, 14, 15, 16, 17), the values of x for which the inequality holds true are
Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

13, 14

Step-by-step explanation:

The parameters of the numbers are;

A whole number value = 2 × Another number + 6

The sum of the two numbers is less than 50

Given that the first number is equal to more than twice the second number, we have that the first number is the larger number, while the second number is the smaller number

Where 'x' represents the second number, we get;

x + 2·x + 6 < 50

Simplifying gives;

3·x + 6 < 50

x < (50 - 6)/3 = 14.\overline 6

x < 14.\overline 6

Therefore, the numbers for which the inequality holds true are numbers less than 14.\overline 6. From the given option, the numbers are 13, and 14.

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Consider the quadratic function:
Mice21 [21]

Answer:

vertex is (4,-25)

Step-by-step explanation:

f(x) = x^2 - 8x - 9

To find out the vertex we use formula

x=\frac{-b}{2a}

From the given f(x), the value of a=1, b=-8 and c=-9

Plug in the values in the formula

x=\frac{-(-8)}{2(1)}

x=4

Now find the value of y

plug in 4 for x in f(x)

f(4) = 4^2 - 8(4)- 9=-25

The value of y is -25

The vertex is (4,-25)

3 0
3 years ago
Read 2 more answers
2. Claire drinks 64 fluid ounces of water o day. How many gallons of water does she drink in a week?​
Ymorist [56]

Answer:

3.5 gallons a week

Step-by-step explanation:

Well 64 gl Oz is basically half a gallon. So half a gallon of water a day would result in 0.5*7 (7 days in a week) and you would get 3.5 gallons.

4 0
3 years ago
The formula a=6s^2 will calculate the surface area of a cube. suppose you have a cube that has a surface area of 216 square inch
lawyer [7]
216 = 6s^2

can be solved in the following manner.

216/6=s^2
36 = s^2
sqrt(36) = s

flip for better overview

s = 6

the length of each side is 6 inches. :)
4 0
3 years ago
What is the equation of a circle whose center is begin ordered pair negative 4 comma 6 end ordered pair and whose radius is 9 cm
solong [7]

Answer:

(x+4)^2+(y-6)^2=81

Step-by-step explanation:

We want to find equation of a circle with center (-4,6) and radius 9cm.

The equation of a circle with center (h,k) and radius r units is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the radius and the center to obtain;

(x+4)^2+(y-6)^2=9^2

The required equation is:

(x+4)^2+(y-6)^2=81

3 0
3 years ago
The sum of four consecutive even integers is -28
mina [271]
I guess you want to find the 4 numbers

x + x + 2 + x + 4 + x + 6 = -28
4x + 12 = - 28
4x =  - 40
x = -10

so the numbers are -10, -8, -6 ,-4.

8 0
3 years ago
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