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algol [13]
3 years ago
11

Solve 0 = (x – 4)2 – 1 by graphing the related function.

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

Therefore, the solutions of the quadratic equations are:

x=5,\:x=3

The graph is also attached.

Step-by-step explanation:

The solution of the graph could be obtained by finding the x-intercept.

y=\left(x-\:4\right)^2-1

Finding the x-intercept by substituting the value y = 0

so

y=\left(x-\:4\right)^2-1

\:0\:=\:\left(x\:-\:4\right)^2\:-\:1        ∵ y = 0

\left(x-4\right)^2-1=0

\left(x-4\right)^2-1+1=0+1

\left(x-4\right)^2=1

\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

\mathrm{Solve\:}\:x-4=\sqrt{1}

\mathrm{Apply\:rule}\:\sqrt{1}=1

x-4=1

x=5

\mathrm{Solve\:}\:x-4=-\sqrt{1}

\mathrm{Apply\:rule}\:\sqrt{1}=1

x-4=-1

x=3

So, when y = 0, then x values are 3, and 5.

Therefore, the solutions of the quadratic equations are:

x=5,\:x=3

The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.

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The terminal point determined is in what quadrant?
jeyben [28]

Answer:

  quadrant 4

Step-by-step explanation:

I find it helpful to remember that the cosine is positive in the right half-plane, and the sine is positive in the top half-plane. Knowing the relationship between sine and cosine and all the other trig functions, you can figure their signs in the various quadrants.

The bottom half-plane (sin < 0) and the right half-plane (cos > 0) overlap in the 4th quadrant.

5 0
3 years ago
Do you use 8 cups of flour to make 24 muffins at that rate how much flour will it take to make 30 muffins
VladimirAG [237]
10 because you do 8/24 then that answer multiplied by 30 to get 10
7 0
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In a greenhouse, basil is grown in planters that have a base of 4 1 4 in by 1 2 3 in. If there is a 4 × 4 array of these planter
Kryger [21]

Answer:

The area covered by the planters is 113.6 square inches.

Step-by-step explanation:

Assuming that the dimmensions of the greenhouse are 4 1/4 by 1 2/3 inches. We first need to convert them from mixed fractions to normal fractions, we do that by summing the integer part to the fraction one. We have:

length = 4 + 1/4 = 16/4 + 1/4 = 17/4 inches

width = 1 + 2/3 = 3/3 + 2/3 = 5/3 inches

The area of the greenhouse is given by:

area = length*width

area = (17/4)*(5/3) = 85/12 = 7.1 square inches

Since there is an array of 4x4 there is a total of 16 greenhouses and it's total area is 16*7.1 = 113.6 square inches

8 0
3 years ago
The length of a rectangle is 5 cm longer than its width.
blondinia [14]

Equation To write :2 {x+ ( x+5) }=30

Let's solve your equation step-by-step.

2(x+x+5)=30

Step 1: Simplify both sides of the equation.

2(x+x+5)=30

(2)(x)+(2)(x)+(2)(5)=30(Distribute)

2x+2x+10=30

(2x+2x)+(10)=30(Combine Like Terms)

4x+10=30

4x+10=30

Step 2: Subtract 10 from both sides.

4x+10−10=30−10

4x=20

Step 3: Divide both sides by 4.

4x

4

=

20

4

x=5

So... x+5=10.

Area =5x10=50 cm squared.

4 0
3 years ago
Read 2 more answers
Which expression is equivalent to .........? <br> ......<br> ......<br> .....<br> .
Alchen [17]

Answer:

first one

2m=1 == 2+m-1+m

Step-by-step explanation:

5 0
2 years ago
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