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azamat
2 years ago
13

HELPP ILL MARL YOU BRAINLy!

Mathematics
1 answer:
Gemiola [76]2 years ago
8 0

Answer:

See explanation.

Step-by-step explanation:

First Relation is a function because each input as exactly one output.

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write each of the following products in standard polynomial form. (a) (x+3)(x-2)(x-8) (b) (x+2)(x-2)(x+3)(x-3)
Annette [7]

Answer: A)x²+x-6   B) 2x²-13

Step-by-step explanation: A) (x+3)(x-2)(x-8) = x²-2x+3x-6 = x²+x-6

B) (x+2)(x-2)(x+3)(x-3) =→ x²-2x+2x-4 = x²-4

→x²-3x+3x-9 = x²-9

∴x²-4+x²-9 = <u><em>2x²-13</em></u>

5 0
3 years ago
For f(x)=√(2x+1) , find the following:
Wittaler [7]

Part a.

The domain is the set of x values such that x \ge -\frac{1}{2}, basically x can be equal to -1/2 or it can be larger than -1/2. To get this answer, you solve 2x+1 \ge 0 for x (subtract 1 from both sides; then divide both sides by 2). I set 2x+1 larger or equal to 0 because we want to avoid the stuff under the square root to be negative.

If you want the domain in interval notation, then it would be \Big[ -\frac{1}{2} , \infty \Big) which means the interval starts at -1/2 (including -1/2) and then it stops at infinity. So technically it never stops and goes on forever to the right.

-----------------------

Part b.

I'm going to use "sqrt" as shorthand for "square root"

f(x) = sqrt(2x+1)

f(10) = sqrt(2*10+1) ... every x replaced by 10

f(10) = sqrt(20+1)

f(10) = sqrt(21)

f(10) = 4.58257569 which is approximate

-----------------------

Part c.

f(x) = sqrt(2x+1)

f(x) = sqrt(2(x)+1)

f(x+2a) = sqrt(2(x+2a)+1) ... every x replaced by (x+2a)

f(x+2a) = sqrt(2x+4a+1) .... distribute

we can't simplify any further

6 0
3 years ago
The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conc
Klio2033 [76]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

The first step is finding the sides of each triangle.

In triangle GHI, we have that:

GH = sqrt((4-2)^2 + (8-4)^2) = 4.4721

HI = sqrt((8-4)^2 + (4-8)^2) = 5.6569

IG = sqrt((2-8)^2 + (4-4)^2) = 6

Now, for the triangle JKL, we have:

JK = sqrt((2-1)^2 + (3-1)^2) = 2.2361

KL = sqrt((4-2)^2 + (1-3)^2) = 2.8284

LJ = sqrt((1-4)^2 + (1-1)^2) = 3

The triangles are not congruent, because the sides are different

They are similar, because their sides have a proportion (sides of GHI are 2 times the sides of JKL). If they are similar, they have the same angles.

The ratio of their corresponding sides is 1:2, not 1:3

The ratio of their corresponding angles is 1:1, not 1:3

3 0
3 years ago
Pang dagdag points niyo.... sagutan niyo nalang ng tamang sagot, yung tamang sago i high rate ko......
Elena-2011 [213]

Answer:

26/5

Step-by-step explanation:

(2)(2)(4)/5 −8+10

(4)(4)/5−8+10

=16/5−8+10

=−24/5+10

=26/5

Alternate form

5.2

5 0
3 years ago
Read 2 more answers
marcela's dog gained 4.1 kilograms in two months. two months aga the dog's mass was 5.6 kilograms. what is the dog's current mas
Oksana_A [137]
5.6+4.1=9.7 The dog is now 9.7 kg.
6 0
3 years ago
Read 2 more answers
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