What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40

Answer:

The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).  

I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself.  The first one checks out though.

Step-by-step explanation:

Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other.  As the latter equation is already solved for y, we can simply substitute it into the other:

given:

   y = 3x² - 4x + 1

   3x - 5y = 3

then:

  3x - 5(3x² - 4x + 1) = 3

Which we can then simplify and solve:

3x - 15x² + 20x - 5 = 3

-3x + 15x² - 20x + 5 = -3

15x² - 23x = -8

Now we can find find the solution by completing the square:

15(15x² - 23x) = 15(-8)

225x² - 345x = -120

225x² - 345x  + (23/2)² = -120 + (23/2)²

225x² - 345x  + 529/4 = -120 + 529/4

(15x - 11.5)² = -120 + 132.25

(15x - 11.5)² = 12.25

15x - 11.5 = ± √12.25

15x - 11.5 = ± 3.5

15x = 11.5 ± 3.5

x = (11.5 ± 3.5) / 15

x = 15 / 15, and 8 / 15

x = 1, and 0.5333...

Now that we have x, we can solve for y.

given: 3x - 5y = 3

for x = 1:

3 - 5y = 3

y = 0

for x = ⁸/₁₅:

3(⁸/₁₅) - 5y = 3

5y = 3(⁸/₁₅) - 3

5y = ²⁴/₁₅ - ⁴⁵/₁₅

5y = -²¹/₁₅

y = -²¹/₃

y = -7

So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).

Answer:

35 + 17c I hope this helps!! Plz give brainliest!!!

Step-by-step explanation:

7(5+2c)+3c

35+14c+3c

35+17c

Answer:

C.

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

2*2=4

Answer:

2.) 46.9        3.) 25.6

Step-by-step explanation:

Answer:

2. 46.857

3. 25.571

Step-by-step explanation:

Add all the numbers together and then divide by the number of numbers you added.

12+67+34+10+78+78+49=328

328/7=46.857

10+10+13+13+45+21+67=179

179/7=25.571

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

[tex]V = 288[/tex] --- Volume

[tex]C_1 = 0.06[/tex] --- cost of wall paint

[tex]C_2 = 0.16[/tex] ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

[tex]V =xyz[/tex]

Substitute 288 for V

[tex]288 =xyz[/tex]

Make z the subject

[tex]z = \frac{288}{xy}[/tex]

The surface area is calculated as:

[tex]Area = 2(yz + xz) + xy[/tex]

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

[tex]C = 0.06 * 2(yz + xz) + 0.16 * xy[/tex]

Substitute [tex]z = \frac{288}{xy}[/tex]

[tex]C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy[/tex]

[tex]C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

Differentiate w.r.t x and y

[tex]C_x = -\frac{34.56}{x^2} + 0.16y[/tex]

[tex]C_y = -\frac{34.56}{y^2} + 0.16x[/tex]

By comparison: [tex]x = y[/tex]

Set them equal to 0

[tex]C_y = -\frac{34.56}{y^2} + 0.16x=0[/tex]

[tex]-\frac{34.56}{y^2} + 0.16x=0\\[/tex]

Substitute x for y

[tex]-\frac{34.56}{x^2} + 0.16x=0[/tex]

[tex]0.16x=\frac{34.56}{x^2}[/tex]

Cross multiply

[tex]0.16x^3 = 34.56[/tex]

[tex]x^3 = \frac{34.56}{0.16}[/tex]

[tex]x^3 = 216[/tex]

Take the cube root of both sides

[tex]x = \sqrt[3]{216}[/tex]

[tex]x = 6[/tex]

[tex]x=y= 6[/tex]

Substitute 6 for x and for y in [tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

[tex]C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6[/tex]

[tex]C = (\frac{2*34.56}{6}) + 5.76[/tex]

[tex]C = 11.52 + 5.76[/tex]

[tex]C = 17.28[/tex]

[tex]C = 17.3[/tex] --- approximated

Answer:

I cant see the picture

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

88 + 95 + 97 + 100 = 380

380 ÷ 4 = 95

To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4  numbers in this problem so I divided by 4.

Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!

Answer:

y = 3/4x + 7

Step-by-step explanation:

8x + 6y = 12

6y = -8x + 12

y = -4/3x + 2

Perpendicular slope: 3/4

y - y1 = m(x - x1)

y + 2 = 3/4(x + 12)

y + 2 = 3/4x + 9

y = 3/4x + 7

Answer:

80 degrees

Step-by-step explanation:

Answer:

B

Because u r going -8 units on the x-axis and 2 units down on the y-axis

Answer:

x+12

Step-by-step explanation:

I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

Answer:

m<1 = 97°

Step-by-step explanation:

<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:

m<1 + 83° = 180°

Therefore:

m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)

m<1 = 97°

Answer:

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

Answer:

B and e

Step-by-step explanation:

The shape is a square.

'A square pyramid is a  three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'

According to the given problem,

If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.

Hence, we concluded that square could be formed by slicing the square pyramid by a plane.

Learn more about square pyramid here: https://brainly.com/question/27350043

#SPJ2

Answer:

960

Step-by-step explanation:

You have to figure out what 1/4th of 640 is, which is 160.

It says that number is 1/6th of boys, so you multiply by the inverse.

160x6 = 960

well since all of the girls = 4/6ths of the boys that would mean 24/24girls=16/24boys  

16/24 is 66.666666666667% of 24/24

66.666666666667% of 640 is426.666666667 but in my head i would round up so:

Approximately

427 boys and 213 girls.

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Answer:

I) ∠2 and ∠5

Step-by-step explanation:

Answer:

Where is the plot?

Step-by-step explanation:

[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]

The recursive formula is  aₙ = 2(6)ⁿ⁻¹.

A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.

Given: 2, 12, 72, 432,..

r= 12/2= 6

a= 2

The recursive  formula for the nth term,

aₙ = a₁ rⁿ⁻¹

aₙ = 2(6)ⁿ⁻¹

Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹

Learn more about this concept here:

https://brainly.com/question/11813228

#SPJ1

Answer:

27.55ft

Step-by-step explanation:

28²-5²=x

784-25=759

square root of 759=27.55