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In-s [12.5K]
3 years ago
8

Could u help me with this

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Step-by-step explanation:

The vertex form of a parabola can be written as

y = a(x - h)^2 + k

where (h, k) are the coordinates of the parabola's vertex. So our parabola has the equation

y = a(x + 7)^2 + 2

Since the parabola passes through the point (-6, 4), we can solve for the constant a as follows:

4 = a(-6 + 7)^2 + 2 \Rightarrow a = 2

Therefore, the vertex form of the equation for the parabola is

y = 2(x + 7)^2 +2

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1

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3 years ago
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Zina [86]
1) Data:

Meal                calories consumed

Breakfast          400 cal
Lunch               350 cal
Dinner                x
                       ------------------
Total                 400 + 350 + x = 750 + x

2) Equation: <span>

She consumes 2/3 of her daily calories at dinner => (2/3)[750+x] = x

3) Analyze each statement:

</span><span>a) Lena consumed 1500 cal at dinner.

Solve the equation to find if the statement is true:
</span>
<span><span>(2/3)[750+x] = x</span>

2(750+x) = 3x

1500 + 2x = 3x

1500 = 3x - 2x

x = 1500

Conclusión: TRUE stament.

b) Do you equation 2/3 (x+400+350)=x can be used to model the situation.

That is the same equation that I found above.

Conclusion: TRUE statement

c) Lena consumed 500 cal at dinner.

She consumed (2/3) * 1500 = 500 cal

Conclusion: TRUE statement

d) Lena consumed 1000 cal at dinner.

No, we calculated that she consumed 500 cal at dinner.

Conclusion: FALSE statement

e) The equation 2/3(x)=x(400+350) can be used to model the situation.

No: (2/3) x = 500 and x(400+350) = 500*750 = 375,00, which are not equal.

Conclusion: FALSE statement.

f) The equation 2/3x(400+350)=x Can’t be used to model the situation

No: in that equation the variable x cancels out because it appears a factor at both sides.

</span>Conclusion: TRUE statement
3 0
4 years ago
Read 2 more answers
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