Solve the system of equations.

y = -5x + 24
y = 4x - 21

Step-by-step explanation:

please, write the problem statement properly. it is not clear what you are asking for.

for example, the way how you wrote it, the first expression would be

58 × 5 - 6

and that would be (remember, multiplication and division happen before any additions or subtractions)

58 × 5 - 6 = 290 - 6 = 284

nothing on the right side of numbers fits to that.

so, I am speculating. did you mean

58 × (5-6) ?

in that case we get

58 × (5-6) = 58 × (-1) = -58

and then I assume that the right side of all the numbers includes also operations (like +, -, ...), as I see no -58 in the list of numbers.

and then I just propose that the right side could look like

-2×5 - 48 (which would also be -58).

but again, this could be something completely different.

so, please, write your problem statement again. and carefully.

Answer:

1. Top: 18 (cm²)

2. Left: 12 (cm²)

3. Front: 24 (cm²)

4. Bottom: 18 (cm²)

5. Back: 24 (cm²)

6. Right: 12 (cm²)

Surface area: 108 (cm²)

Step-by-step explanation:

You can find the surface area of this rectangular prism by using the grid.

We know that in order to find the area of a rectangle, we must multiply the length by the height. Let me make this clearer.

In the grid, the top has a length of 3 centimeters and a height of 6 centimeters. To find the area, we multiply these side lengths.

[tex]3*6=18.[/tex]

Now, we know that the area of the top is 18 centimeters.

Simply find the area of each side, then combine the areas at the end to find the SURFACE area.

[tex]18+12+24+18+24+12=108.[/tex]

Answer:

Option (1)

Step-by-step explanation:

Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.

Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.

Therefore, the given trapezium can't be an isosceles trapezium.

Option (1) will be the correct option.

Answer:

x = 6

Step-by-step explanation:

9 - 3 = 6, x = 6

Answer:

outcome 10

simple space10

A 5

B 5

C 5

Step-by-step explanation:

Hope this helps!!!

Answer:

b

Step-by-step explanation:

The roots of the quadratic equation x² + 3x - 6 = 0 are, x = [- 3 + √(33)]/2,

x = [- 3 - √(33)]/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We any to find any types of roots of a quadratic equation, real, complex or imaginary we use the formula,

[- b ± √(b² - 4ac)]/2a.

Therefore, The roots of the quadratic equation x² + 3x - 6 = 0 is,

x = [- 3 ± √(3² - 4×1×-6)]/2×1.

x = [- 3 ± √(9 + 24)]/2.

x = [- 3 ± √(33)]/2.

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[tex](-1,-2) \: \: \: \: \: and \: \: \: \: \: (3,6) \\ Answer: A[/tex]

Step-by-step explanation:

[tex]y = 2x \\ y = {x}^{2} - 3 \\ \\ 2x = {x}^{2} - 3 \\ {x}^{2} - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \: \: \: \: \: or \: \: \: \: \: x - 3 = 0 \\ x = - 1 \: \: \: \: \: or \: \: \: \: \: x = 3[/tex]

When x = -1

Substitute x = -1 into y = 2x

y = 2(-1)

y = -2

( -1, -2)

When x = 3

Substitute x = 3 into y = 2x

y = 2(3)

y = 6

( 3, 6)

Answer:

ASA

Step-by-step explanation:

Given the lines, we know ED = CD

Given the right angles, we know angle DEF = angle BCD

Because angles BDC and FDE are on the same line, and are opposite of each other, those are congruent as well

Answer:

Step-by-step explanation:

A =1/2 *h (x+y)

A =hx+hy/2

A*2 =hx+hy

2A =hx+hy

2A - hy = hx

(2A -hy)/h = x

Answer:

x = [tex]\frac{2A-hy}{h}[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] h(x + y) ← multiply both sides by 2 to clear the fraction

2A = h(x + y) ← distribute

2A = hx + hy ( subtract hy from both sides )

2A - hy = hx ( divide both sides by h )

[tex]\frac{2A-hy}{h}[/tex] = x

Answer:

1400 ml is 66.67% of 2.1 L

To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.

Answer: -2

Explanation:  On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]

Simplified that is -2 which is the slope of the line

Answer:

a = 1/8

b = 8

Step-by-step explanation:

a (1/2) ^3 = (1/2) *(1/2) * (1/2) = 1/8

b( 1/2 ) ^ -3  The negative exponent means 1 / (1/2)^3  = 1/ (1/8) = 8

Answer:

(2w+2)(w+8) ≤ 100

Step-by-step explanation:

Answer:

●(2w+2)(w+8)< 100 represents the inequality that combined the area of Garden and walk away.

Step-by-step explanation:

this is correct!!

Answer:

option A

Step-by-step explanation:

[tex]\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }[/tex]

Answer:

B: Line b is the correct answer

Answer:

L ACB = 25 ( L at centre = 2× L at circumference)

prove

sum = 75

centre = 50

then L AOB +ACB = 75

50 + L ACB =75

L ACB = 75 - 50

then L ACB= 25

Answer:

7x² - 8x + 4

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

Answer:

a). 2700

b). 385.7

Step-by-step explanation:

According to the Question,

Given that, Adwoa received a commission of 20% on the bread she sold. In one week, Adwoa's commission was 540.

let x be the total cost of bread she sells during the week.

a). Thus, 20% of x = 540

x = 540 × (100/20)  ⇒ 2700 is the total cost of bread she sells during the week.

b). Now, her average daily commission is 2700/7 ⇒ 385.7

Answer:

Less than.

Step-by-step explanation:

Answer:

(-1, 1)

Step-by-step explanation:

(-1, 1) is the solution to this system of equations because it is the point of intersection. If you would want to solve this algebraically, you would need to use the equations of each line.

Answer:

the answer is (-1,1)

i think we needed to calculate the coordinates

hope it helps

Answer:

√(209)

Step-by-step explanation:

Since <B is a right angle, AC is the hypotenuse and AB and BC are legs.

(AB)² + (BC)² = (AC)²

(4 mm)² + (BC)² = (15 mm)²

16 mm² + (BC)² = 225 mm²

(BC)² = 209 mm²

BC = √(209) mm

Answer:60

Step-by-step explanation:20x6=120 120/2=60

Answer:

200 cubic centimetres

Step-by-step explanation:

Length = [tex]20 \: cm[/tex]

Width = [tex]6 \: cm[/tex]

Height = [tex]5 \: cm[/tex]

Volume = [tex] \frac{1}{3} \times w \times l \times h[/tex]

[tex] = \frac{1}{3} \times 20 \times 6 \times 5[/tex]

[tex] = \frac{20}{3} \times 6 \times 5[/tex]

[tex] = \frac{20}{3} \times (3(2)) \times 5[/tex]

[tex] = 20 \times 2 \times 5[/tex]

[tex] = 40 \times 5[/tex]

[tex] = 200 \: {cm}^{2} [/tex]

Answer:

Step-by-step explanation:

5.27=3.40+.85x

1.87=.85x

2.2=x

Answer:

C, never negative

absolute value is like asking for "how much away from zero", so -5 is 5 away from zero.

The graph of the function is increasing when x>0.

Graph a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

here, we have,

We know, cube root parent is:

The basic parent cube root function is of the form f (x) = ∛x. It increases on the interval (-∞, ∞). It increases on the interval [0, ∞). It is positive on (0, ∞) and negative on (-∞, 0). It is a non-negative function always (on [0, ∞)). Its absolute min is 0 but no absolute max. Its domain and range is the set of all real numbers.

Given,

The function f(x) = ∛x

Let x = 1, we get f(x) = 1,

x =2, f(x) = 8

if x =3, f(x) = 27.

As we know, with increase in the value of x, the value of f(x) is also increasing.

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Answer:

p = 1/2

Step-by-step explanation:

(4p - 1)^2 = 4p^2

(4p - 1)^2 =(2p)^2

4p - 1 =[tex]\sqrt{(2p)^2}[/tex]

4p - 1 =2p

4p - 2p =1

2p = 1

p =1/2

Answer: 172.3ft

Step-by-step explanation:

Answer:

Ok to do this question we must first put it into a algebraic equation.

215=5x-155

This is are equation. lets first get rid of the 155 by adding it to the 215 which is 370.

370=5x

Ok now we will divide 370 by 5 which is 74.

x=74

Your Welcome

BIFFY OUT!!!

Answer:

1.16777216

2.279936

3.32768

4.49

[tex]\longrightarrow{\green{ a) \:16,777,216 }}[/tex] 

[tex]\longrightarrow{\green{ b)\: 279,936 }}[/tex] 

[tex]\longrightarrow{\green{ c) \: 32,768 }}[/tex] 

[tex]\longrightarrow{\green{ d) \:49 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

a)

[tex] {4}^{9} \times {4}^{3} \\ = {4}^{9 + 3} \\ = {4}^{12} \\ =\:16,777,216[/tex]

b)

[tex] {6}^{5} \times {6}^{2} \\ = {6}^{5 + 2} \\ = {6}^{7}\\=\: 279,936[/tex]

c)

[tex] {8}^{6} \div {8}^{1} \\ = {8}^{6 - 1} \\ = {8}^{5} \\=\:32,768[/tex]

d)

[tex] {7}^{8} \div {7}^{6} \\ = {7}^{8 - 6} \\ = {7}^{2}\\=49 [/tex]

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} \\ {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]