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IRINA_888 [86]
2 years ago
9

The question is in the image.

Mathematics
1 answer:
miskamm [114]2 years ago
7 0

Step-by-step explanation:

f(x) = 4x + 1

g(x) = x² - 5

(f+g)(x) = f(x) + g(x)

= (4x + 1) + (x² - 5)

= x² + 4x + (1 - 5)

= x² + 4x - 4

Option → C

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I need help? With proof for this one.
Schach [20]

Answer:

See below.

Step-by-step explanation:

ABC is an isosceles triangle with BA = BC.

That makes angles A and C congruent.

ABD is an isosceles triangle with AB = AD.

That makes angles ABD and ADB congruent.

Since m<ABD = 72 deg, then m<ADB = 72 deg.

Angles ADB and CDB are a linear pair which makes them supplementary.

m<ADB + m<BDC = 180 deg

72 deg + m<BDC = 180 deg

m<CDB = 108 deg

In triangle ABD, the sum of the measures of the angles is 180 deg.

m<A + m<ADB + m<ABD = 180 deg

m<A + 72 deg + 72 deg = 180 deg

m<A = 36 deg

m<C = 36 deg

In triangle BCD, the sum of the measures of the angles is 180 deg.

m<CBD + m<C + m<BDC = 180 deg

m<CBD + 36 deg + 108 deg = 180 deg

m<CBD = 36 deg

In triangle CBD, angles C and CBD measure 36 deg making them congruent.

Opposite sides DB and DC are congruent making triangle BCD isosceles.

3 0
3 years ago
At the restaurant, your family orders a subtotal of $46.55. Add 6% sales tax and 18% tip. What is the total?
ICE Princess25 [194]

Answer:

Step-by-step explanation:

Now,

if you add the tip after the sales tax,

you will have:

46.55*(6/100)=2.79

the meal cost now 46.55+2.79=49.34

we add tip

49.34*(18/100)=8.88

total cost 49.34+8.88=58.22

8 0
3 years ago
Square root of x plus 8 end root minus 6 equals x
Pachacha [2.7K]

Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

For more explanation, refer the following link:

brainly.com/question/10572241

#SPJ10

5 0
2 years ago
Is the sequence -3, 5, 13, 21, ...<br> a. arithmetic<br> b. geometric
kondaur [170]

Answer:

Step-by-step explanation:

It's arithmetic.

Just keep on adding 8 to each term.

-3 + 8 = 5

5 + 8 = 13

13 + 8 = 21

3 0
2 years ago
Explain how you can use a number line to find the sum of -8.3 + 10.5
Neko [114]

Answer:

don't search link

Step-by-step explanation:

8 0
2 years ago
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