I need help on this question

The question is an illustration of system of equations

There are 14 problems worth 5 points and 15 problems worth 2 points

The system of equations is given as:

[tex]x + y = 29[/tex]

[tex]5x + 2y = 100[/tex]

Make x the subject in [tex]x + y = 29[/tex]

[tex]x = 29 - y[/tex]

Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]

[tex]5(29 - y) + 2y = 100[/tex]

Open brackets

[tex]145 - 5y + 2y = 100[/tex]

Evaluate like terms

[tex]145 - 3y = 100[/tex]

Collect like terms

[tex]- 3y = 100-145[/tex]

Evaluate like terms

[tex]- 3y = -45[/tex]

Divide both sides by -3

[tex]y = 15[/tex]

Substitute 15 for y in [tex]x = 29 - y[/tex]

[tex]x = 29 - 15[/tex]

[tex]x = 14[/tex]

This means that there are 14 problems worth 5 points and 15 problems worth 2 points

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

u=−4w+9

Step-by-step explanation:

u−5=−4(w−1)

u=−4(w−1)+5

u=−4w+4+5

u=−4w+9

​

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²

Answer:

Hi there!

I will help you answering the questions, if you do not understand what I'm working about, you can ask me on comment section.

First of all, we need to multiple the separated function.

[tex] \sf2(3x + 4)(x - 1)(x - 3) \\ = \sf(6x + 8)(x - 1)(x - 3) \\ \tt multiple \: the \: first \: equation \\ \tt(6x + 8) \: with \: (x - 1) \\ \sf = (6x \times x + 6x \times - 1 + 8 \times x + 8 \times - 1)(x - 3) \\ = \sf({6x}^{2} + 2x - 8)(x - 3) \\ \tt then \: multiple \: the \: last \: one \\ \tt (6 {x}^{2} + 2x - 8) \: with \: (x - 3) \\ \sf = \boxed{ \bold{ \red{ {6x}^{3} - 16x {}^{2} - 14x + 24}}}[/tex]

So the right answer is A

━━━━━━━━━━━━━━━━━

the graph has four zeros at :

After that we make them equal with 0, here is the thing:

x = -a is equal with x + a = 0

So we can conclude that :

Then we substitute them to a function :

x(x + 4)(3x + 2)(x - 9) = 0

3x⁴ - 13x³ - 118x² - 72x = 0

Then we looking on the option which one is equal with the answer above.

The right answer is B

━━━━━━━━━━━━━━━━━

Hope It Helps!

Answer:

(-3, 5.5)

Step-by-step explanation:

To find the midpoint, you add up the corresponding coordinates (x with x and y with y) and divide each by 2.

(-7+1)/2 = -3

(8+3)/2 = 5.5

Answer:

(-3,5.5)

Step-by-step explanation:

(-7,8)

(1,3)

(-7+1)/2,(8+3)/2

-3,5.5

Answer: a I think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

Learn more about graphs, click;

https://brainly.com/question/17267403

#SPJ7

Using function concepts, it is found that:

A function f(x) has an inverse if, and only if:

[tex]f(a) = f(b) \leftrightarrow a = b[/tex]

In this problem:

To learn more about the use of graphs to verify if a function is invertible, you can take a look at https://brainly.com/question/13160937

Step-by-step explanation:

There are other factors than Roberto coming that could have affected the outcome of the game. For example, maybe the night games were against better teams to generate better ratings in prime time. Moreover, maybe the Angels do better at home due to home-field advantage. There are many factors such as these that could explain why Roberto witnessed such a high win rate at the games he went to, so it cannot be concluded that Roberto's attendance caused the Angels to win.

Answer:

19 = x

Step-by-step explanation:

The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)

BD²= (BA)(BE)        

8² = (4 + x - 7) (4)             BA = BE + EB

8² = (x - 3)(4)

64 = 4x - 12

64 + 12 = 4x

76 = 4x

19 = x

Answer:

19%

interest earned = base × time × rate

interest rate = interest earned/ base × time

76/800*2 = 0.19 = 19%

Answer:

B. Quadratic, degree 2

Step-by-step explanation:

ALl you have to see is the degree. The degree is the largest exponent of the expression. The largest exponent here is 2 and since there is only one answer with a degree of two, the answer is b.

Answer:

B

Step-by-step explanation:

the largest exponent is 2 i.e the degree is 2

Answer:

38.81cm³

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Diameter is 4.2

radius= 4.2/2 = 2.1 or 21/10

4/3 × 22/7 × 21/10 × 21/10 × 21/10

= 4851/125

= 38.808

≈38.81cm³

Answer:

I have helped you on the other question you asked. It's the same question.

Answer:

its just rhombus and trapezoid i think.

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x - 5 and g(x) = 5x

- f(x + 1) = - ( x + 1 - 5 ) = 4 - x

- 3g(x - 1 ) = - 3 [ 5 (x - 1)] = 15 - 15x

h(x) = 4 - x + 15 - 15x = 19 - 16x

h(3) = 19 - 16(3) = - 29

Answer:

B and E

Step-by-step explanation:

I think the choice is wrong. choice B maybe 15a+20b...

5(3a+4b) = 15a+20b (B)

(E) : 10a + 5a + 15b + 5b = 15a+20b

fighting! ✌✌

Answer:

e. 5(3a+4b) = 15a+ 20b = 10a+5a+15b+5b

Answer:

61.2$

Step-by-step explanation:

I think that's how it's done.

Answer: I Got No solution for this problem

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Answer:

12

Step-by-step explanation:

Set up equation like this with x being the number

X / (3/5) = 20

X * (5/3) = 20

so multiply both sides by 3/5 so

X = 20 (3/5)

therefore,

X = 12

we can check to make sure this is right by plugging it back in:

12 / (3/5) = 20 so it is true

Answer:

a = 28°

Step-by-step explanation:

62°+a° = 90°

a = 90 - 62

a = 28°

Answer:

Step-by-step explanation:

Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.

Conclusion:

Therefore, the measure of the missing angle is 28°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

-3/2

Step-by-step explanation:

1) find the slope of (-9,-4), and (3,4)

4-(-4)=8, and 3-(-9)=12

the slope is 8/12 or 2/3 when simplified.

the PERPENDICULAR slope is the negative reciprocal of the slope, so

-3/2 is the answer.

Answer:

answer is

Step-by-step explanation:

Answer:

final answer is: ABC, A (-5,1), B (-4,6) and C (-1,4)

Step-by-step explanation:

Original: ABC, A (2,-1), B (1,4) and C (-2,2)

translate 3 units to the right and 2 units up: ABC, A (5,1), B (4,6) and C (1,4)

reflected over the x-axis: ABC, A (5,-1), B (4,-6) and C (1,-4)

rotated 180°: ABC, A (-5,1), B (-4,6) and C (-1,4)

Answer:

9 cm

Step-by-step explanation:

[tex]\sqrt{81} = 9[/tex]

Answer:

Real - 16 Imaginary - 3i

Step-by-step explanation:

If the number has i with it, it's imaginary. If it doesn't have i with it, it's real

Answer:

4

Step-by-step explanation: