Find the coordinates of the points of intersection of the parabola y=x^2+3x-4 and the line y=2x+2

Answer:

40

Step-by-step explanation:

5 x 5 is 25 so 2 x 5, 20 times makes 40

Answer/Step-by-step explanation:

4x - 7 = -2x + 12 (Given)

Add 2x to both sides

4x - 7 + 2x = -2x + 12 + 2x (Addition property of equality)

6x - 7 = 12 (Simplication)

Add 7 to both sides

6x - 7 + 7 = 12 + 7 (Addition property of equality)

6x = 19 (Simplification)

Divide both sides by 6

[tex] \frac{6x}{6} = \frac{19}{6} [/tex] (Division property of equality)

[tex] x = \frac{19}{6} [/tex]

The correct justification, provides the right reasons for the given

mathematical operation.

Responses:

3. Simplification

6·x - 7 + 7 = 12 + 7  [tex]{}[/tex]             4. Addition property of equality

The two column solution is presented as follows;

Step [tex]{}[/tex]                                               Justification

4·x - 7 = -2·x + 12  [tex]{}[/tex]                       1. Gives

4·x - 7 + 2·x = -2·x + 12 + 2·x [tex]{}[/tex]     2. Addition property of equality

6·x - 7 = 12  [tex]{}[/tex]                                 3. Simplification

6·x - 7 + 7 = 12 + 7 [tex]{}[/tex]                      4. Addition property of equality

6·x = 19 [tex]{}[/tex]                                       5. Simplification

[tex]\dfrac{6 \cdot x}{6} = \dfrac{19}{6}[/tex]                           [tex]{}[/tex]           6. Division property of equality

Learn more about the properties of equality here:

https://brainly.com/question/4207575

Answer:

5/7 x = 1/7

x = (1/7) / (5/7)

x = (1/7) * (7/5)

x = 7 / 35

x = 1 / 5 or .2

Step-by-step explanation:

Answer:pi^4

Step-by-step explanation:

When you divide exponents, you subtract them. So you would subtract 11-7=4. The exponent would be 4 and base would be ok. Brainlist please!

Answer:

angle 2 and angle 8 are alternate interior angles

Step-by-step explanation:

Answer:

$956

Step-by-step explanation:

Interest = Principal(Rate)(Time)/100

Interest = 838.5(19)(6)/100)

Interest = $95589/100

Interest = $955.89

Interest = $956(to the nearest cent)(Answer)

Answer:

AB = 3.9CM ; A = 51° ; C = 39°

Step-by-step explanation:

Base BC = 4.8cm

AC = 6.2cm

Angle B = 90°

Using trigonometry, the length of AB can be obtained thus :

AB^2 = AC^2 - BC^2

AB^2 = 6.2^2 - 4.8^2

AB^2 = 38.44 - 23.04

AB^2 = 15.4

AB = sqrt(15.4)

AB = 3.92 cm

Angle A :

Using :

Sinα = opposite / hypotenus

Sinα = 4.8 / 6.2

Sinα = 0.7741935

α = sin^-1 (0.7741935)

α = 50.73

A = 51° (approximately)

Angle C ;

(A + B + C) = 180 (Sum of angles in a triangle)

51 + 90 + C = 180

141 + C = 180

C = 180 - 141

C = 39°

Answer:

The answer is x=27/28

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

The solution of the expression is,

⇒ x = 27/28

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2x - 1/4 + x/3 = 2

Now, Solve the expression as;

⇒ 2x - 1/4 + x/3 = 2

⇒ 2x + x/3 = 2 + 1/4

⇒ 7x/3 = 9/4

⇒ 7x = 27/4

⇒ x = 27/28

Learn more about the mathematical expression visit:

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Answer:

x = -1.9

Step-by-step explanation:

3(x-8) = -29.7 Given

3x - 24 = -29.7 Distributive property

3x - 24 + 24 = -29.7 + 24 Addition property of equality

3x = -5.7

3x ÷ 3 = -5.7 ÷ 3 Division property of equality

x = -1.9 Answer

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Option (4)

Step-by-step explanation:

Vertices of ΔABC are,

A → (-9, 3)

B → (-9, 6)

C → (0, 3)

If the given triangle is rotated 180° about the origin image triangle will have the vertices as,

Rule for the rotation,

(x, y) → (-x, -y)

A' → (9, -3)

B' → (9, -6)

C' → (0, -3)

If a point (x, y) is dilated by a scale factor of 'k',

Rule for the dilation,

(x, y) → (kx, ky)

Since, ΔA"B"C" is smaller than ΔABC,

Therefore, dilating ΔA'B'C' by a scale factor = [tex]\frac{1}{3}[/tex]

Image triangle ΔA"B"C" will be,

A" → (3, -1)

B" → (3, -2)

C" → (0, -1)

Therefore, Option (4) is the correct option.

Answer:

the guy above me is wrong the correct option is the second option

Step-by-step explanation:

i just got it wrong & it showed me the answer

Answer:

2597

Step-by-step explanation:

Answer:

Try to find it !

Step-by-step explanation:

look at every spot you went to in the day ! retrace your steps !

Answer:

1. The car is traveling at a constant speed  2. The car stopped 3. The speed is decreasing

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

You recall the relation between speed, distance, and time is ...

  speed = distance / time

The graph is of distance vs. time. that means speed is the slope (distance/time) of the curve on the graph. If the slope is zero (a horizontal line), distance is not changing, and the speed is zero. That is, the vehicle has stopped.

If the slope is a positive constant, the vehicle is traveling at a constant speed.

If the slope is high, but becoming lower as the curve progresses left-to-right, then the speed starts high, but becomes lower: the vehicle is slowing down.

__

The graphs, left-to-right, represent a vehicle that is ...

  traveling at constant speed

  stopped

  slowing down

Answer:

Han's mixture tastes stronger, because...

Han's uses 6 2/3 cups of water for every 1 cup of orange juice concentrate.

Clare uses 7 1/2 cups of water for every 1 cup of orange juice concentrate.

Step-by-step explanation:

Claire

Cups of water = 2 1/2 cups

Cups of orange juice = 1/3

Cups of water for every cup of orange juice = 2 1/2 ÷ 1/3

= 5/2 × 3/1

= 15/2

= 7 1/2

Han:

Cups of water = 1 2/3 cups

Cups of orange juice = 1/4 cups

Cups of water for every cup of orange juice = 1 2/3 ÷ 1/4

= 5/3 × 4/1

= 20/3

= 6 2/3

Answer:

The quotient of two integers may not always be an integer.

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

Step-by-step explanation:

The student is not largely correct!

The sum, difference, and product of two integers is indeed always an integer.

But, the quotient of two integers may not always be an integer.

i.e.

4/2 = 2

i.e.

2/3 = 0.67

Therefore, I do not agree when a student says that the sum difference, product, and quotient of two are always integers.

Answer:

uhh i think

Step-by-step explanation:

just the horizontal and the diagonal

can i have brainliest plz

Answer:

b,c

Step-by-step explanation:

hello, the answer to this is / and ----- or b and c I got this right on my test :)

Given:

Volume of Large cube = 1 cubic unit

Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit

To find:

The difference between the edge length of the large cube and the edge length of the small cube.

Solution:

Let the edges of large and small cubes are [tex]a_1[/tex] and [tex]a_2[/tex] respectively.

We know that, volume of a cube is

[tex]V=(edge)^3[/tex]

Volume of Large cube = 1 cubic unit

[tex](a_1)^3=1[/tex]

Taking cube root on both sides, we get

[tex]a_1=1[/tex]

So, edge of large cube is 1 unit.

Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit

[tex](a_2)^3=\dfrac{1}{27}[/tex]

Taking cube root on both sides, we get

[tex]a_2=\dfrac{1}{3}[/tex]

So, edge of large cube is [tex]\dfrac{1}{3}[/tex] unit.

Now, difference between them is

[tex]d=a_1-a-2[/tex]

[tex]d=1-\dfrac{1}{3}[/tex]

[tex]d=\dfrac{3-1}{3}[/tex]

[tex]d=\dfrac{2}{3}[/tex]

Therefore, the difference between the edge length of the large cube and the edge length of the small cube is [tex]\dfrac{2}{3}[/tex] unit.

Answer:

C

Step-by-step explanation:

sin= opposite/hypotenuse

Answer:

80%

Step-by-step explanation:

Let's call the past exam mark m,

m*105%=84

m*105/100=84

m=84/(105/100)

m=80

Hope this helps!

Answer:

80

Step-by-step explanation:

new value = 84

old value = n

can use percent change formula:  (new value - old value) / old value = 5/100

[tex]\frac{84-n}{n}[/tex] = [tex]\frac{5}{100}[/tex]

cross-multiply (you can simplify 5/100 to be 1/20 first):  20(84 - n) = n

1680 - 20n = n

1680 = 21n

n = 80

Answer:

what?

Step-by-step explanation:

Answer:

1.83 was not thrown away

Answer:

2 1/6

Step-by-step explanation:

6 1/2 - 4 2/3 = 2 1/6

Answer:

shade in 9 boxes (9/24)

Step-by-step explanation:

there are 24 boxes, so to create the equivalent fraction you multiply both the numerator and denominator of 3/8. this gives you 9/24. hope this helps!

Answer:

y=1/4x−6

Step-by-step explanation:

Write in slope-intercept form, y = m x + b .

Answer:  y  = 1/4x + 6

Step-by-step explanation:

12y -3x = 72      Add  3x to both sides

     +3x    +3x

12y = 3x + 72     Divide both sides by 12.

y = 1/4x +  6