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3 years ago

Given f(x) = 3x - 1 and 9(x) = 2x-3, for which value of x does g(x)=f(2)?

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

Answer:

g(x) = f(2) at x = 4

Step-by-step explanation:

Assuming that you meant g(x) = 2x - 3:

Set f(2) = g(x) and solve the resulting equation for x:

f(2) = 3(2) - 1 = g(x) = 2x - 3.

Thus, 6 - 1 = 2x - 3.

Adding 3 to both sides and simplifying the result, we get:

8 = 2x, or x = 4.

g(x) = f(2) at x = 4.

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2 years ago

If 1 pound = 16 ounces, what is the weight of the bananas ( 2.5 lbs ) in ounces.

Galina-37 [17]

Answer:

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2 years ago

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Problem PageQuestion

Margarita [4]

The investment will be worth $4686.62 after 5 years.

Step-by-step explanation:

Principal, P = 3700

Rate, r = 4.75% = 0.0475

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Amount = P(1 + r/n)^nt

⇒ 3700 (1 + 0.0475/5)^25

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7 0

3 years ago

Two triangles are congruent if:

Flura [38]

Answer:

A and D. SSS theorem

B. ASA or AAS theorems

C. SAS theorem

E. AAS theorem

Step-by-step explanation:

SSS theorem states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

SAS theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS theorem states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

ASA theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Thus:

A. If each pair of corresponding sides is congruent, then two triangles are congruent by SSS theorem.

B. If two pairs of corresponding angles are congruent and a pair of corresponding sides are congruent, then two triangles are congruent by ASA or AAS theorems.

C. If two pairs of corresponding sides and the angles included between them are congruent, then two triangles are congruent by SAS theorem.

D. If three sides of one triangle are congruent to three sides of a second triangle, then two triangles are congruent by SSS theorem.

E. If two angles and a non-included sides of each triangle are congruent, then two triangles are congruent by AAS theorem.

6 0

3 years ago

Please help ASAP! Use (f/g)x f(x)=6x^2+36 g(x)=6x^2+34x-12 Show your work please!

olga55 [171]

Answer:

$\frac{3}{3x-1}$

Step-by-step explanation:

$\frac{f(x)}{g(x)}\\\frac{6x^2+36}{6x^2+34x-12}\\\frac{6(x^2+6)}{2(3x^2+17x-6)}$ Factor out a 6 from the numerator and 2 from the denominator

$\frac{3(x^2+6)}{3x^2+17x-6}$ 2 in the denominator divides the 6 in the numerator

$\frac{3(x+6)}{(3x-1)(x+6)}$ factor the denominator, let me know if you need help with this

$\frac{3}{3x-1}$ the (x+6)s cancel

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3 years ago