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laila [671]
3 years ago
10

Factor the polynomial by grouping

ula1" title="5 {x}^{2} - 11x + 6" alt="5 {x}^{2} - 11x + 6" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
avanturin [10]3 years ago
7 0
(x-1)(5x-6)

Factor
−
11
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11
out of
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11
x
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11
x
.
5
x
2
−
11
(
x
)
+
6
5
x
2
-
11
(
x
)
+
6
Rewrite
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11
-
11
as
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5
-
5
plus
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6
-
6
5
x
2
+
(
−
5
−
6
)
x
+
6
5
x
2
+
(
-
5
-
6
)
x
+
6
Apply the distributive property.
5
x
2
−
5
x
−
6
x
+
6
Trava [24]3 years ago
5 0
The answer is (x-1) (5x-6) don’t get confuse on the first answer thank me later.
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Step-by-step explanation:

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How do you evaluate expressions?
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5 0
3 years ago
Need help with 5 and 6. Please explain steps. Thanks!!!!
alukav5142 [94]

5. Answer: rate of 6 mph + current of 5 mph = 11 mph

<u>Step-by-step explanation:</u>

Use d = r * t

\begin {array}{l|c|c|c||l} &\underline{time}&\underline{rate}&\underline{distance}&\underline{equation}\\ with&x&r+5&33&x(r+5)=33\\against&6-x&r-5&3&(6-x)(r-5)=3\\\end{array} \\\\\\\text{Solve each equation for x.}\\\\x(r + 5) = 33\qquad \qquad \qquad (6-x)(r-5)=3\\\\.\qquad \quad x=\dfrac{33}{r+5}\qquad \qquad \qquad \qquad 6-x=\dfrac{3}{r-5}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad x=-\dfrac{3}{r-5}+6

\text{Now, set the equations equal to each other and solve for r:}\\\\\dfrac{33}{r+5}=-\dfrac{3}{r-5}+6\\\\\\\dfrac{33}{r+5}=-\dfrac{3}{r-5}+\dfrac{6(r-5)}{(r-5)}\\\\\\\dfrac{33}{r+5}=\dfrac{6r-33}{r-5}\\\\\\33(r-5)=(r+5)(6r-33)\\\\\\33r - 165 = 6r^2-3r-165\\\\\\.\qquad \quad 0=6r^2-36r\\\\\\.\qquad \quad 0=6r(r-6)\\\\\\.\qquad \quad 0=6r\quad or\quad 0=r-6\\\\\\.\qquad \quad r=0\quad or\quad r=6\\\\\text{0 mph is an erroneous solution so Karl's rate was 6 mph}

6. Answer: 5 hours

<u>Step-by-step explanation:</u>

Use d = r * t.  Since they both traveled the same distance, we can set the (rate * time) for each person equal to each other:

Wilbur: rate = 33 and time = x        --> equation: 33x

Mary:   rate = 55 and time = x - 2   --> equation: 55(x - 2)

33x = 55(x - 2)

33x = 55x - 110

  0  = 22x - 110

110 = 22x

 5 = x

8 0
4 years ago
25 points pluss brainliest!!! math.
BARSIC [14]

Answer:  9.97

==============================================

Explanation:

y = distance from the base of the pole to the closest person

y+200 = total horizontal distance

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

Focus on the smaller right triangle.

tan(angle) = opposite/adjacent

tan(26) = 55/y

y*tan(26) = 55

y = 55/tan(26)

y = 112.76671 approximately

Make sure your calculator is in degree mode.

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

Now move to the larger right triangle

tan(angle) = opposite/adjacent

tan(x) = 55/(y+200)

tan(x) = 55/(112.76671+200)

tan(x) = 55/312.76671

tan(x) = 0.17585

x = arctan(0.17585) same as \tan^{-1}

x = 9.97349

x = 9.97 degrees approximately

7 0
2 years ago
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