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LenKa [72]
3 years ago
9

Which expression is equivalent to (x2 − 3) − (− 3x2 + 5)?

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Answer:

4x2-8

Step-by-step explanation:

This question requires a step by step procedure

Ensure that you don't miss any steps so as to get the right answer

So let's solve the given question

(X2-3)-(-3x2+5)

Let's start by dealing with the bracket first

(X2-3)+3x2-5

X2-3+3x2-5

Collect like terms

X2+3x2-3-5

4x2-8

So the answer is 4x2-8

But in the case where we are asked to solve further we can actually equate the equation to zero

4x2-8=0

4x2=8

Divide both sides by 4

X2=2

Square root both sides

X=√2

But since we are not asked to solve further,our final answer is 4x2-8

I believe this will help you

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Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
gtnhenbr [62]

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

4 0
3 years ago
A boat starts from a port and moves 12 miles north and then moves 5 miles east. what is the present distance of the boat from th
disa [49]
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.

Solution:

h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13

The present distance of the boat from the port is 13 miles.
7 0
3 years ago
A car travels 1 092 km in 21 days what is the average distance show how you got your answer
spin [16.1K]
Maybe try dividing 1092 by 21 I got 52
7 0
4 years ago
Which is the largest interval over which the function shown in the table is increasing?
vova2212 [387]

Answer:

x < 0

Step-by-step explanation:

If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0).  So, the graph is increasing from -∞ to 0.

3 0
3 years ago
In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.
ankoles [38]
<h2>Answer:</h2>

\boxed{\overline{MN}=37.96}

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find \overline{MN}. Since:

\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm

and \overline{MN} is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

\overline{RN}=\overline{QN}

By Pythagorean theorem, for triangle NQP:

\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}

Applying Pythagorean theorem again, but for triangle MQN:

\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}

3 0
3 years ago
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