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Fynjy0 [20]
3 years ago
9

Factor completely 4a^2 - 8a - 5

Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Answer:

Step-by-step explanation:

Use the quadratic formula first; find the roots, and then write the factors based upon the roots.  Here, a = 4, b = -8 and c = -5.  Thus, the discriminant b^2 - 4ac is (-8)^2 - 4(4)(-5), or 64 + 80, or 144.

Thus, we have:

      -(-8) ± √144            8 ± 12

x =  --------------------- = -------------- = 5/2 and x = -1/2

              2(4)                     8

If x = 5/2 is a root, then (2x - 5) is a factor.

If x = -1/2 is a root, then (2x + 1) is the other factor.

or

 

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Find the height of the tree. FAST AS POSSIBLEEEE
Nat2105 [25]

Answer:16

Step-by-step explanation: 3 over 4.5 = x over 24

Cross multiply and you get 4.5x=72

72/4.5= 16

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3 years ago
A book store is keeping track of the price of books according to the number of pages. Which scatterplot represents that bivariat
tangare [24]

Answer:

The graph has pages on the X-axis and price (dollars) on the Y-axis

Step-by-step explanation:

The X-axis will always have the independent variable (pages), while the Y-axis will have the dependent variable (number of pages).  The pages will exist no matter how many there are, but the price is influenced by the number of pages.

3 0
3 years ago
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Simplify the following expression.<br><br> 9 1/2 r 5/2 t<br> __________<br> rt 1/2
rosijanka [135]

Answer:

12r/t

Step-by-step explanation:

4 0
3 years ago
Which of the inequalities represents the statement, "two times a number x, less 15, is greater than or equal to 4 times the numb
Damm [24]
The choices are:

A) 
2x - 15 ≤ 4y 


B) 
2x - 15 ≥ 4y 


C) 
15 - 2x ≤ 4y 


D) 
<span>15 - 2x ≥ 4y
</span>
Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "<span>15 - 2x ≥ 4y". </span>I hope my answer has come to your help. God bless and have a nice day ahead!
5 0
4 years ago
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Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
hodyreva [135]

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}

Sin P = 0.3

P = Sin^{-1} 0.3\\

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

6 0
2 years ago
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