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sergij07 [2.7K]
3 years ago
9

Solve quadratic equation (x-3)^2+5=14

Mathematics
1 answer:
loris [4]3 years ago
5 0
(X-3)^2+5=14
Step 1: simplify both sides of the equation
X^2-6x+14=14

Step 2: subtract 14 from both sides
X^2-6x+14-14=14-14
X^2-6x=0

For this equation: a=1, b=-6,c=0
1x^2+-6x+0=0

Step 3: Use quadratic formula with a=1, b=-6, c=0

The answer is x=6 or x=0

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A photograph with a width of 3 inches and a length of 5 inches will be enlarged so that the length is 40 inches. What will the w
Lisa [10]

Answer:

B. 24inches

Step-by-step explanation:

<u>Original photo</u>

Width= 3inches

length= 5inches

<u>New photo</u>

width=

length= 40inches

3×8=24inches

5×<u>8</u>=40inches

8 0
1 year ago
Which graph best represents -5y = -6x + 15
frutty [35]

Answer: Option c.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

-5y = -6x + 15

Solve for "y" in order to write in Slope-Intercept form:

y = \frac{-6}{-5}x + \frac{15}{-5}\\\\y = \frac{6}{5}x -3

Now you can identify that that the slope and the y-intercept are:

m=\frac{6}{5}\\\\b=-3

A posive slope means that the the line moves upward from left to right.

With this information, you can conclude that the the graph that  best represents the given equation is the graph shown in the Option c.

3 0
3 years ago
A cardboard box without a lid is to be made with a volume of 44 ft3. Find the dimensions of the box that requires the least amou
-BARSIC- [3]

Answer:

x =  3.53 ft

y - 3.53 ft

z = 3.53 ft

Step-by-step explanation:

given details

volume = 44 ft^3

let cardboard dimension is x and y and height be z

we know that area of given cardboard without lid is given as

A = xy + 2xy + 2yz

xyz   = 44 ft^3

To minimize area we have

A = xy + 2x (44/xy) + 2y(44/xy)

A = xy + (44/y) + (44/x)

we have

Ax = y - \frac{44}{x^2}

0 = yx^2 = 44................1

Ay = x - \frac{44}{y^2}

0 = x - \frac{44}{y^2}

xy^2 = 44 ..............2

from 1 and 2

yx^2 = xy^2

xy(y-x) = 0

xy = 0 or y = x

from geometry of probelem

x ≠ 0 and y ≠ 0

so y = x

x^3 = 44

x =  3.53 ft = y

z = 44/xy = 3.53

6 0
3 years ago
At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The num
Viktor [21]

The given equations satisfy the given conditions. There are 2 equations and 2 unknowns, so a certain solution can be found.

This can be solved using substitution,

Substituting eqn 2 to eqn 1:

2(2y – 10) + 3y =1240

Simplifying,

y = 180

x = 350

7 0
3 years ago
The population of a small country is 5,740,000. express this number using scientific notation
Licemer1 [7]
So scientific notation is making the number manageable.

scientific notation is
(a number >1 and <10) times 10^x

we count how many places the decimal has to move to make the number >1 and >10.

the answer is 6.
5.74 times 10^6
8 0
2 years ago
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