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enyata [817]
4 years ago
12

Which equation involves a prime quadratic and cannot be solved by factoring? A. x2 + 5x − 4 = 0 B. x2 − x − 6 = 0 C. x2 + 3x − 4

= 0 D. x2 + 6x + 9 = 0 Reset
Mathematics
1 answer:
Damm [24]4 years ago
8 0

Answer:

Option A

Step-by-step explanation:

We can try to factorize all the options one by one.

For A:

x^{2} +5x-4\\=> x^{2}+4x+x-4\\=>x(x+4)+1(x-4)

We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.

Moreover we can also note that all the other quadratic expressions can be factorized ..

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The table shows the temperature (y) at different altitudes (x).
Shtirlitz [24]

Answer/Step-by-step explanation:

2. Using two pairs of values, (0, 59) and (2,000, 51),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{51 - 59}{2,000 - 0} = \frac{-8}{2,000} = -\frac{1}{250}

3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,

y-intercept (b) = 59

4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in y = mx + b

✅y = -\frac{1}{250}x + 59

5. Substitute x = 5,000 in y = -\frac{1}{250}x + 59.

y = -\frac{1}{250}(5,000) + 59

y = -20 + 59

y = 39

At an altitude of 5,000 ft, temperature would be 39°F

3 0
3 years ago
Write an equation of the line passing through the points. Write the equation in general form.
Reika [66]

Answer: y=2x+8

Step-by-step explanation:

(2,12)=(x1,y1)

(-7,-6)=(x2,y2)

(y2-y1)/(x2-x1)=(-6-12)/(-7-2)=-18/-9=2=m

y=mx+b

y=2x+b

insert (2,12) to y=2x+b

12=2*2+b

12=4+b

8=b

y=2x+8

4 0
3 years ago
Find the modulus and the unit vector along the sum of the vectors. - r₁ +r₂ +r3 given that r₁ = 2i+j+4k - r₂ = 3i-2j+7k, r3 = 5i
bazaltina [42]

j+8k

first -2i+j+4k-3i-2j+7k+5i+2j-3k

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2 years ago
If logarithm of 5832 be 6, Find thw base?​
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Answer:

3sqrt(2) ................

6 0
3 years ago
Suppose that the quantity supplied S and quantity demanded D of​ T-shirts at a concert are given by the following functions wher
harkovskaia [24]

Answer:

Step-by-step explanation:

The demand function is expressed as

D(p )=1150-50p

The supply function is expressed as S(p)=−200 + 40p

Where

p represents the price

A) The equilibrium price is the price at which the quantity supplied and the quantity demanded would be equal. Therefore

1150 - 50p = - 200 + 40p

40p + 50p = 1150 + 200

90p = 1350

p = 1350/90

p = 15

The equilibrium price is $15

b) For quantity demanded to be greater than quantity supplied, the price would be

1150 - 50p > - 200 + 40p

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p > 1350/90

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The price would be greater than 15

c) if the quantity demanded is greater than the quantity​ supplied, the prices of the T shirt would increase.

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