how to solve equations​

Answer:

Completing the square.

Step-by-step explanation:

since there is no "a" term and the bx term is even, completing the square is your best bet.

For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.

These numbers are:

3 and 1.[tex]3 + 1 = 4\\\\3 * 1 = 3[/tex]

So, we have to:

[tex]x ^2 + 4x + 3 =\\(x + 3) (x+1)[/tex]

Answer:

[tex](x + 3) (x + 1)[/tex]

Answer: 2/6.

Step-by-step explanation:

This might be wrong but because there are only 6 sides on a number cube, and only two numbers between this probablity this is the most likely correct answer. I apologize if this is wrong.

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

8.25 divided by 100=0.0825

Answer:

Step-by-step explanation:

s = sequence

[tex]s_{1}[/tex] = first term of sequence

[tex]s_{1}[/tex] = 7

[tex]s_{4}[/tex] = 16

Find the difference between the term number and the values.

Terms:

4 - 1 = 3

Values:

16 - 7 = 9

For every 3 terms, you add 9.

Divide, to find the amount you add for 1 terms.

3 / 3 = 1

9 / 3 = 3

For every 1 terms, you add 3.

[tex]s_{1}[/tex]= 7

[tex]s_{2}[/tex]= 10

[tex]s_{3}[/tex]= 13

[tex]s_{4}[/tex]= 16

[tex]s_{5}[/tex]= 19

[tex]s_{6}[/tex]= 22

Answer:

1/2

Step-by-step explanation:

if the one line's slope is m = –2, then the perpendicular line's slope will be m= 1/2 (the slope of a perpendicular line is the reciprocal of the slope of the first line)

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I will call [tex]m_{a}[/tex] the slope of line [tex]a[/tex], and [tex]m_{b}[/tex] the slope of line [tex]b[/tex].

For two lines to be perpendicular, the following must be satisfied:

[tex]m_{a}*m_{b}=-1[/tex]

in this case we know:

[tex]m_{a}=-2[/tex]

so:

[tex](-2)*m_{b}=-1[/tex]

And clearing for the slope of line [tex]b[/tex]:

[tex]m_{b}=\frac{-1}{-2} \\m_{b}=\frac{1}{2}[/tex]

The slope of the line [tex]b[/tex] which is perpendicular to line [tex]a[/tex] is [tex]\frac{1}{2}[/tex]

Answer:

y = 6

Step-by-step explanation:

Given

y = [tex]\frac{3}{4}[/tex] x + 3 and (4, ? )

Substitute the x- coordinate x = 4 into the equation for corresponding value of the y- coordinate.

x = 4 : y = [tex]\frac{3}{4}[/tex] × 4 + 3 = 3 + 3 = 6

Hence the coordinate point is (4, 6)

Answer:

Part a) The exterior surface area is equal to [tex]160\ ft^{2}[/tex]

Part b) The volume is equal to [tex]240\ ft^{3}[/tex]

Part c) The volume water left in the trough will be [tex]84\ ft^{3}[/tex]

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

Find the area of two rectangles

[tex]A=2[12*5]=120\ ft^{2}[/tex]

Find the area of two trapezoids

[tex]A=2[\frac{1}{2}(8+2)h][/tex]

Applying Pythagoras theorem calculate the height h

[tex]h^{2}=5^{2}-3^{2}\\h^{2}=16\\h=4\ ft[/tex]

substitute the value of h to find the area

[tex]A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}[/tex]

The exterior surface area is equal to

[tex]120\ ft^{2}+40\ ft^{2}=160\ ft^{2}[/tex]

Part b) Find the volume

we know that

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=20\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=20(12)=240\ ft^{3}[/tex]

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

[tex]A=\frac{1}{2}(5+2)(2)=7\ ft^{2}[/tex]

step 2

Find the volume

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=7\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=7(12)=84\ ft^{3}[/tex]

➷ 12x - 8 = 24

Add 8 to both sides:

12x = 32

Divide both sides by 12 to isolate x:

x = 8/3

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Answer: x= 8/3

Step-by-step explanation:

first thing u do is add 8 to the 24 because the operation in front is - , that equals 32

since 12 is multiplied by x you divide 12 by 32 to get x by itself and that equals 8/3

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Answer:

V=8xxxyyy=8x³y³

Step-by-step explanation:

In the question, V=lwh, the value for l is given to us as 2xy. Because it is a cube, all of the length of the edges are the same, so l=w=h, which means w=2xy and h=2xy.

Plug in w=2xy h=2xy l=2xy into the equation V=lwh.

V=2xy·2xy·2xy

V=(2·2·2)(x·x·x)(y·y·y)

V=8xxxyyy=8x³y³

Total cost

13 1/4 × $1.20

=53/4 × $1.20

=$15.90

Alfred + 4 friends = 5 person

So, each person must pay

$15.90÷5

=$3.18

Answer

$3.18

Using arithmetic simplification, the amount paid by each person since the cost is shared evenly is $3.18

The total cost of gummy bear :

Number of people involved = Alfred + 4 friends = 5

Since the cost is shared evenly ; the amount paid per person can be calculated thus :

Cost per person = $15.90 ÷ 5 = $3.18

Therefore, each person will pay a sum of $3.18

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Answer:

About $31,200

Step-by-step explanation:

Answer:67

Step-by-step explanation:

70% × 413 =

(70 ÷ 100) × 413 =

(70 × 413) ÷ 100 =

28,910 ÷ 100 =

289.1

Proof

289.1 ÷ 413 =

0.7 =

0.7 × 100/100 =

0.7 × 100% =

(0.7 × 100)% =

70%

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Answer:

[tex]4(3\frac{2}{5})[/tex] is greater

Step-by-step explanation:

step 1

we have

[tex]4(3\frac{2}{5})[/tex]

convert to an improper fraction

[tex]3\frac{2}{5}=\frac{3*5+2}{5}=\frac{17}{5}[/tex]

so

[tex]4(3\frac{2}{5})=4(\frac{17}{5})=\frac{68}{5}[/tex]

step 2

we have

[tex]3(4\frac{2}{5})[/tex]

convert to an improper fraction

[tex]4\frac{2}{5}=\frac{4*5+2}{5}=\frac{22}{5}[/tex]

so

[tex]3(4\frac{2}{5})=3(\frac{22}{5})=\frac{66}{5}[/tex]

therefore

[tex]4(3\frac{2}{5})[/tex] is greater

Final answer:

After converting mixed numbers to improper fractions and multiplying, it is clear that 4 x [tex]3\frac{2}{5}[/tex] is greater than 3 x [tex]4\frac{2}{5}[/tex].

Explanation:

The question asks which is greater: 4 x [tex]3\frac{2}{5}[/tex] or 3 x [tex]4\frac{2}{5}[/tex]. Let's compare these two expressions

First, convert the mixed numbers to improper fractions:

[tex]3\frac{2}{5}[/tex] = (3x5 + 2)/5 = 17/5

[tex]4\frac{2}{5}[/tex] = (4x5 + 2)/5 = 22/5

Next, multiply each by the whole number:

4 x 17/5 = 68/5 = 13.6

3 x 22/5 = 66/5 = 13.2

Therefore, 4 x [tex]3\frac{2}{5}[/tex] is greater than 3 x [tex]4\frac{2}{5}[/tex].

Answer:

2m/s

2 meters per second

Step-by-step explanation:

Formula for speed is distance (meters) over time (seconds) after you divide you get 2. Please give me the brainliest answer?

:) Hoped this helped!!! Have a good day!!! <3

Answer:

2 Meters per second

Step-by-step explanation:

when all goes wrong...choose c my friend.

Answer:

π/64

Step-by-step explanation:

assuming that c= circumference, and the circumference being 2πr(radius), then r=1/8 because 2π/8=π/4. to find the area, we use the formula πr^2, or π*1/8^2, or π/64

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the formula for calculate  the surface area of the rectangular prism:

[tex]SA=2(wh+lw+lh)[/tex]

Where w is the width, h is the heigh and l is the lenght.

Based on the rectangular prism shown, you have that:

[tex]w=9.08cm\\h=3.23cm\\l=11.73cm[/tex]

Finally when you substitute values into the formula you obtain the following result:

[tex]SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2[/tex]

Answer:

D

Step-by-step explanation:

The surface area is the area of all the surfaces, together.

A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.

Area = 2 ( 3.23 * 9.08 ) = 58.6568

Area = 2 ( 3.23 * 11.73 ) = 75.7758

Area = 2 ( 11.73 * 9.08 ) = 213.0168

Summing all of them up,

Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168

=347.4494

* Rounding to nearest hundredth, 347.45 cm ^2

Answer:  x = {-1, 1, -i√2, i√2, -3, 4}

Step-by-step explanation:

(x² - 1)(x² + 2)(x + 3)(x - 4)(x+1)=0

Set each factor equal to zero and solve.

x² - 1 = 0  →  x² = 1  →  x = ±1

x² + 2 = 0  →  x² = -2  →  x = ± i√2

x + 3 = 0  →  x = -3

x - 4 = 0  →  x = 4

x + 1 = 0  →  x = -1   (note that -1 is a duplicate - solved from the first factor)

Answer:

Answer:  x = {-1, 1, -i√2, i√2, -3, 4}

Step-by-step explanation:

Answer:

y+2 = 2/3(x+1)

y= 2/3x - 4/3

Step-by-step explanation:

If we want a line parallel to  y=2/3x+7, it will have the same slope

m = 2/3

We have a point (-1,-2), so we can use point slope form

y-y1 = m(x-x1)

y--2 = 2/3(x--1)

y+2 = 2/3(x+1)

If we want the line in slope intercept form, distribute the slope

y+2 = 2/3 x +2/3

Subtract 2 from each side

y+2-2=2/3x +2/3-2

y = 2/3x +2/3 - 6/3

y= 2/3x - 4/3

Final answer:

The squirrel reaches a height of 4 feet twice during its trajectory: once on the way up and once on the way down due to symmetrical motion.

Explanation:

The squirrel will reach a height of 4 feet twice during its trajectory. To understand why, let's analyze the motion. The squirrel's vertical motion can be described by the equation [tex]\( h(t) = h_0 + v_0t - \frac{1}{2}gt^2 \),[/tex] where [tex]\( h(t) \)[/tex] is the height at time[tex]\( t \), \( h_0 \) is the initial height, \( v_0 \) is the initial velocity, and \( g \) is the acceleration due[/tex]  to gravity.

Given that[tex]\( h_0 = 0 \), \( v_0 = 16 \) ft/s, and \( g = 32 \) ft/s^2,[/tex] we can plug in these values to find the times at which the squirrel reaches a height of 4 feet. Solving the equation[tex]\( h(t) = 4 \) for \( t \),[/tex] we get two solutions:[tex]\( t = 1 \) second and \( t = 3 \)[/tex] seconds. This means the squirrel reaches a height of 4 feet once on its way up and once on its way down. So, the squirrel reaches a height of 4 feet twice.

the answer is 28

have a good day!

Answer:

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.

a = 18, b = 26, c = ?

A. C=31.78

B. C=31.16

C. C=31.62

D. C=31.46

Step-by-step explanation:

[tex]\sqrt{18^{2}+26^{2}  }[/tex]

7x - 3/8 = 6x -5/8

Subtract 6x from each side:

x - 3/8 = -5/8

Add 3/8 to each side:

x = -5/8 + 3/8

x = -2/8

x = -1/4

Answer:

5.66038

Step-by-step explanation:

Given  

Mean= μ=100

SD= σ=5.3

Z-score of 130= ?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score=  (x- μ)/σ

z-score of 130=  (130-100)/5.3

=30/5.3

=5.66038

Answer: 10%

Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time

With the number in the formula, 112.50 = 1,250 x r x 1

Simplify:

112.50 = 1,250r

Divide both sides by 1,250:

.1 = r

Therefore, the rate is 10%

Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

Volume is a three-dimensional scalar quantity. The volume of a sphere with a great circle of radius 12 cm is 7238.2295 cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface. It is a three-dimensional scalar quantity.

The volume of the sphere with a radius of 12 cm is,

The volume of the sphere = 4/3 πr³

                                            = (4/3) × π × (12)³

                                            = 7238.2295 cm³

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Answer:

e=23

Step-by-step explanation:

The equation representing this scenario is e-5=18.

Add 5 to both sides and you get e=23 (eggs)

Answer:

e=23

Step-by-step explanation:

Answer:

Opt. D. AB=WX

Step-by-step explanation:

If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.