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dimaraw [331]
3 years ago
12

Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ).

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

Step-by-step explanation:

Given the expression

y = 2x² + 3x

Substituting x = 0

y = 2(0)² + 3(0)

y = 0+0

y = 0

  • so when x = 0, y = 0

Thus, the ordered pair is: (0, 0)

Now, substituting x = -2

y = 2x² + 3x

y = 2(-2)² + 3(-2)

y = 8 - 6

y = 2

  • so when x = -2, y = 2

Thus, the ordered pair is: (-2, 2)

Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

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The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negati
nignag [31]

Answer:

Option B.

Step-by-step explanation:

The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).

We need to find the coordinates of triangle when it is translated two units left.

So, the rule of translation is

(x,y)\rightarrow (x-2,y)

Using this rule, we get

A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)

B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)

C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)

The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).

Therefore, the correct option is B.

8 0
3 years ago
Read 2 more answers
Write an expression for the calculation 4 added to 12 times 19 plus 24
harina [27]

Answer:

4 + 12 × 19 + 24

Step-by-step explanation:

Hullo!

Words like "added or sum", represent addition.

Words like "times", represent multiplication.

Words like "subtracted or took away", represent subtraction.

Words like "divided or split up", represent division.

Therefore, we can express the equation 4 added to 12 times 19 plus 24 can be rewritten as  \boxed{4 + 12 \cdot 19 + 24} in expression format.

Hope this helps!

8 0
3 years ago
Using the equation y = 2x + 5 , what would the input need to be for an output of -45?
Semenov [28]

Answer:

-25

Step-by-step explanation:

Essentially, y is your output and x is your input.

Here's your base equation: y = 2x + 5

Knowing the information above, let's plug it in:

-45 = 2x + 5

(Subtract 5 from both sides)

-50 = 2x

(Divide both sides by 2 to isolate x)

-25 = x

And there you go.

3 0
3 years ago
Read 2 more answers
What is the value of X in the equation negative 6X = 5X +22
Ira Lisetskai [31]

Answer:

22

Step-by-step explanation:

6x-5x=1x

1x =22

7 0
3 years ago
Consider a $2 principal investment with a 10% annual simple interest rate. Enter the simple interest equation that represents th
PtichkaEL [24]

The simple interest equation that represent the situation is A = t/5

<h3>What is simple interest?</h3>

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. For example, when a person takes a loan of 500 dollars, at a rate of 10 per annum for two years, the person's interest for two years will be S.I. on the borrowed money.

Principal(P) borrowed =  $2

Rate(R) in percentage = 10

time in years = t

Simple interest(A) = P X R X t / 100

A = 2 X 10 X t/ 100

After reducing 20/100 to the lowest term

A = t/5

In conclusion the simple interest(A) = t/5

Learn more about simple interest: brainly.com/question/20690803

#SPJ1

5 0
1 year ago
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