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djyliett [7]
3 years ago
8

30 points if you answer this question and please show work !

Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0
h(x)=\dfrac{f(x)}{g(x)}=\dfrac{x^2+x-20}{x+5}=\dfrac{x^2+x+4x-4x-20}{x+5}=\\\\\\=
\dfrac{x^2+5x-4x-20}{x+5}=\dfrac{x(x+5)-4(x+5)}{x+5}=\dfrac{(x+5)(x-4)}{x+5}=\\\\\\=\boxed{x-4}

We see, that g(x) is in denominator, so:

g(x)\neq0\\\\x+5\neq0\\\\\boxed{x\neq-5}

and the domain of h(x) i<span>s the set of all real numbers without x=-5.
</span>
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Hi can i calculate difficult maths question
Juli2301 [7.4K]

Answer:

I think you could if you tried.


4 0
3 years ago
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 490 Miles's on 10 gallo
GenaCL600 [577]
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7 0
4 years ago
Read 2 more answers
Full working out please ^^ for the first question , ty
sp2606 [1]

Answer:

E

Step-by-step explanation:

Given

y = 2x² - kx + 3

with a = 2, b = - k and c = 3

Since the curve touches the x- axis at one place then the roots are real and equal and the discriminant for this condition is

b² - 4ac = 0, that is

(- k)² - (4 × 2 × 3) = 0

k² - 24 = 0 ( add 24 to both sides )

k² = 24 ( take the square root of both sides )

k = ± \sqrt{24} = ± 2\sqrt{6}

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7 0
4 years ago
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Norma-Jean [14]
The line would lie on the same line as original but it will be 1/2 the length
3 0
3 years ago
3) Tara sold candles to raise money for new playground equipment at her school.
Ronch [10]

Answer:

Tara's current expression finds how much the school will be keeping. 50 x 2/5 (also written as 50 x 0.4) totals out as 20. $20 is 2/5 of $50. The expression that Tara SHOULD have written to find how much goes to the candle company would be 50 x 3/5 (also written as 50 x 0.6), as this adds up to 30. $30 is 3/5 of $50.

Step-by-step explanation:

50/5 = 10 which means that 1/5 of 50 = 10.

2/5 of 50 ($20) is kept by the school. This is what Tara's expression finds. This means that $30 is sent to the candle company, and can be found with the expression 50 x 3/5.

The decimals are created by dividing the numerator of the fraction by the denominator (I find it easier to do math with decimals).

3 0
3 years ago
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