solve (x+5) 3/2 = (x-1)^3

Answer:

20 apples, 32 pears

Step-by-step explanation:

Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).

One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.

Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.

Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.

Dividing by 0.2 gives a=20.

We can sub this into either equation to get the value of p.

a+p=52, so 20+p=52, meaning p=32.

**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!

9514 1404 393

Answer:

  A

Step-by-step explanation:

The second equation differs from the first in that -9 is a term added to both sides of the equation. The addition property of equality tells you that doing this will not change the value of the variable.

_____

The reason (not justification) for doing this is that the sum of 9 and its additive inverse is 0, the additive identity element. This means the equation can be simplified to 3x = 12, which is the point of making that step (subtracting 9).

Answer:

AB = 5 units

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2[/tex]

with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)

AB = [tex]\sqrt{(3-7)^2+(12-9)^2}[/tex]

      = [tex]\sqrt{(-4)^2+3^2}[/tex]

      = [tex]\sqrt{16+9}[/tex]

      = [tex]\sqrt{25}[/tex]

       = 5

Answer:

yes

Step-by-step explanation:

both angels are the same and that means that the length of the parallel sides are also the same

Answer: The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Answer:

5

Step-by-step explanation:

The highest power is 5 so the degree of the monomial is also 5.

Answer:

4.5 feet

Step-by-step explanation:

Line AB || Line CD {sun height are parallel}

Angle ACB parallel to Angle DEC = 90°

Triangle ABC is parallel to Triangle DCE

12/61 * 2.5

=4.5 feet

Answer:

✓✓ Area of traingle = 1.2 cm^2 ✓✓

Step-by-step explanation:

Hello mate (◕ᴗ◕✿)

=>> In above traingle, height and hypotenuse are given

=> height = 12 cm

=> Hypotenuse = 14 cm

✓✓ Area of traingle = 1/2(base*height) ✓✓

we need to find base of above traingle

Base = √Hypotenus - √Perpindicular

Base = √14 - √12

Base = 3.7 - 3.4

Base = 0.2 cm

Now, we can find area of traingle

Area of traingle = 1/2(Base*Height)

Area of traingle = 1/2(0.2*12)

Area of traingle = 6*0.2

Area of traingle = 1.2 cm^2

Hope it helps you mate (. ❛ ᴗ ❛.)

Answer :

➢ 43.3 cm²

Explanation :

let the missing side be c

a = 12 cm

b = 14 cm

Pythagoras theorem :

➢ a² + c² = b²

➢ 12² + c² = 14²

➢ 144 + c² = 196

➢ c² = 196 - 144

➢ c² = 52

➢ c = √52

➢ c = 7.21

Area = 1/2 × a × c

➢ 1/2 × 12 × 7.21

➢ 6 × 7.21

➢ 43.26 cm²

➢ 43.3 cm² [ round off to 1 decimal place ]

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

[tex](y-k)^2=4p(x-h)[/tex] and h and k are the coordinates of the vertex. Filling in:

[tex](y+4)^2=4(4)(x+2)[/tex] which simplifies to

[tex](y+4)^2=16(x+2)[/tex] choice C

Option C is correct, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

The focus of the parabola is at a point that is equidistant to the vertex and the directrix.

Since the directrix is x = -6, the focus is at (-2+4,-4) = (2,-4).

The vertex form of the equation of a parabola is given by:

(y - k)² = 4p(x - h)

where (h, k) is the vertex and p is the distance between the vertex and focus.

In this case, (h, k) = (-2,-4) and the focus is at (2,-4). Therefore, p = 4.

Substituting the values into the vertex form equation, we get:

(y + 4)² = 4(4)(x + 2)

Simplifying, we get:

(y + 4)² = 16(x + 2)

Hence, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6

To learn more on Parabola click:

https://brainly.com/question/31142122

#SPJ5

Answer:

A' (1, -4)

B' (-4, -2)

C' (-5, 4)

D' (-2, 1)

Step-by-step explanation:

When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.

The additive inverse of a number is simply the opposite of a number.

So, to reflect this quadrilateral across the x-axis, we must change the coordinates.

Remember: When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.

Point A: (1, 4) ⇒ A' (1, -4)

Point B: (-4, 2) ⇒ B' (-4, -2)

Point C: (-5, -4) ⇒ C' (-5, 4)

Point D: (-2, -1) ⇒ D' (-2, 1)

The attachment will help as well.

Answer:

slope is 0

Step-by-step explanation:

use the formula y2 - y1 / x2 - x1

Answer:

D

Step-by-step explanation:

Here, we want to select the correct choice of answer

Looking at the two dot plots, we can see that for the class A, we have the clustering from 4-6 and from 10-12

With this, we can see that this clustering is essentially around two areas only

The beginning parts and the mid parts are left empty only for the two parts to be populated by data points

Answer:

$14.7

Step-by-step explanation:

Zeke owns stock in a high tech firm

Each share is valued at $21

It's is 30% less than the amount it was purchased

Therefore Zeke pay per share can be calculated as follows

= 21× 30/100

= 21×0.3

= 6.3

= 21-6.3

= 14.7

Hence Zeke's pay per share is $14.7

Answer:

Step-by-step explanation:

To find the roots of a quadratic equation, you need to solve the quadratic equation by using the quadratic formula.

OR

You can use the (Equation/Function) mode on the calculator.

[tex]\frac{-b+-\sqrt{b^{2} -4ac } }{2a} x \neq 0[/tex]

For this equation,

a = 3

b = 15

c = -5

X1 = [tex]\frac{-15+\sqrt{15^{2} -4(3)(-5) } }{2(3)} x \neq 0[/tex]

X2 = [tex]\frac{-15-\sqrt{15^{2} -4(3)(-5) } }{2(3)} x \neq 0[/tex]

Solving this on the calculator and you should get

X1 = [tex]\frac{=15+\sqrt{285} }{6}[/tex] X2 = [tex]\frac{=15-\sqrt{285} }{6}[/tex]

a, b, c = constants, where a ≠ 0

x  = the unknown

Answer:

HCF = 1

Step-by-step explanation:

Smallest 2 digit composite number = 10

Smallest  3 digit prime number = 101

Factors of 10 = 1 , 2 , 5

Factors of 101 = 1 , 101

HCF = 1

Answer:

3/2 weeks

Step-by-step explanation:

The question: find the number of weeks you and your friend sells equal number of magazine

You = 2w + 9

Your friend = 6w + 3

Equate both equations

2w + 9 = 6w + 3

Collect like terms

2w - 6w = 3 - 9

- 4w = - 6

w = -6/-4

w = 3/2 weeks

Answer:

x = 4

Step-by-step explanation:

The line in the triangle is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides, that is

[tex]\frac{x+6}{20}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )

20x = 8(x + 6) = 8x + 48 ( subtract 8x from both sides )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

the 9th term would be  -15

Step-by-step explanation:

Answer:

- 7,908

Step-by-step explanation:

Have a nice day :)

Answer:

-7,908

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer

Answer:

[tex]Q_3 = 64[/tex]

Step-by-step explanation:

Given

Box of a box plot with the range: 60 - 64

Required

The upper quartile

To do this, we simply identify the endpoint of the range

Given that the range of the box is 60 to 64.

We have:

[tex]Start = 60[/tex]

[tex]End = 64[/tex]

Hence:

[tex]Q_3 = 64[/tex]

OPTION B is the correct answer.

Hope it helps you...

Answer:

option B

Step-by-step explanation:

[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]

in multiplication if base are same u can add their power (exponent)

[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]

here since the denominator of the fraction in exponent are same u can add or subtract their numerator.

[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]

note: any base with the power 0 is always considered as one.

Answer:

- 2/5

Step-by-step explanation:

(3/5 + 1/5) + (4/5 - 2/5) = 6/5

6/5 - (9/5-1/5) = - 2 /5

Answer:

The answer is C≈49.64

Answer:

C=2πr=2·π·7.9≈49.63716

Step-by-step explanation:

brainliest??

The set {1, 2, 3} has 8 subsets.

A set with 'n' elements in it can have 2n subsets.

=======================================================

Explanation:

We use the cosine ratio here. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(69) = x/10

10*cos(69) = x

x = 10*cos(69)

x = 3.583679495453 which is approximate

x = 3.6

Answer:

21.8

Step-by-step explanation:

87.2 divided by 4

Answer:

261.60

Step-by-step explanation:

its 3 times 87.20

Answer:

M ( -4,9)

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

2, 3, and 5 are the prime numbers. Therefore, it would be 3/6 or 1/2 chance she rolls a prime number.