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RSB [31]
3 years ago
10

Factor completely.2x^2 – 15x + 7​

Mathematics
2 answers:
KonstantinChe [14]3 years ago
8 0

Answer:

(2x-1)(x-7)

Step-by-step explanation:

julsineya [31]3 years ago
5 0

Answer:

(2x - 1) (x - 7).

Step-by-step explanation:

2x^2 - 15x + 7

Use the ac method:

ac = 2 * + 7 =  +14

-1 * -14 =  + 14 and -1 + -14 = -15 so we replace -15x by - x - 14x:

2x^2 - x - 14x  + 7

= x(2x - 1) - 7(2x - 1)

= (2x - 1) (x - 7)

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5/20

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If there are 6 serving in a 2/3 pound lb package of pound is in each serving
Serhud [2]

Answer:

\boxed{\math{\frac{1}{9}\text{ lb}}}

Step-by-step explanation:

\text{Size of one serving} = \dfrac{\text{Total size}}{\text{No of servings}} = \dfrac{\frac{2}{3}\text{ lb}}{\text{6 servings}}\\\\\text{Change the 6 to a fraction and change divide to multiply}\\\\\dfrac{2}{3} \div 6 = \dfrac{2}{3} \times \dfrac{1}{6}

\text{Cancel the 2s}\\\\\dfrac{2}{3} \times \dfrac{1}{6} = \dfrac{1}{3} \times \dfrac{1}{3}\\\\\text{Multiply numerators and denominators}\\\\\dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{9}\\\\\text{Each serving contains }\boxed{\mathbf{\frac{1}{9}\textbf{ lb}}}

3 0
3 years ago
Can someone explain 5. please ?
GuDViN [60]

Both denominators are 4, so we can add the numerators to place over the common denominator. The numerators are -3 and -3, which add to -6. One way to think of negative numbers is to think of IOUs, which are a way of expressing debt in money. For instance, if you go into a store and buy a $10 item, but only have $3 in your pocket, then you would have to owe the owner $7. This can be represented with -7. If you repeat the process, then you'd have 7+7 = 14 in IOUs total. This would be represented with -14

In short, adding negative numbers is really the same as adding positives, but the final result is negative

So that's why -3+-3 turns into -6. We add the two threes like normal but then make the final result negative. All throughout this process, the denominator stays at 4.

So we end up with -6 over 4 which reduces to -3 over 2. How is this reduction happening? We are simply dividing each piece by the greatest common factor 2.

-6 divided by 2 = -3

4 divided by 2 = 2

5 0
3 years ago
Answer the questions about the following function.
balandron [24]

Answer:

Step-by-step explanation:

(a) The function ...

  f(x)=\dfrac{16x^{2}}{x^{4}+64}

can be evaluated for x=-2√2 to get ...

  \displaystylef(-2\sqrt{2})=\frac{16(-2\sqrt{2})^{2}}{(-2\sqrt{2})^4+64}=\frac{128}{64+64}=1

The point (-2√2, 1) is on the graph of f(x).

__

(b) Likewise, we can evaluate for x=2:

  f(2)=\dfrac{16\cdot 2^2}{2^4+64}=\dfrac{64}{80}=0.8

The point on the graph is (2, 0.8).

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(c) From part (a), we know that f(-2√2) = 1. Since the function is even, this means that f(2√2) = 1. The graph is a maximum at those points, so there are no other values for which f(x) = 1.

The points (±2√2, 1) are on the graph.

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(d) There are no values of x for which f(x) is undefined. The domain is all real numbers.

__

(e) The only x-intercept is at the origin, (0, 0). The x-axis is a horizontal asymptote.

__

(f) The only y-intercept is at the origin, (0, 0).

8 0
3 years ago
Read 2 more answers
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