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aleksandr82 [10.1K]
3 years ago
8

If the equation below is solved by graphing, which statement is true?

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

<h2>a. the curves intersect at approx. x=0.46</h2>

Step-by-step explanation:

The given function is

log(6x+10)=log_{\frac{1}{2} }x

If we graph this function, the result is like the image attached. There you can observe that the intersection point is at (0.464, 1.107).

If we round this points to the nearest hundred, they would be

x = 0.46 and y = 1.11.

Therefore, the right answer is

<em>a. the curves intersect at approx. x=0.46</em>

sergey [27]3 years ago
7 0

Step-by-step explanation:

the curves intersect at approcx=0.46

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Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i
Marat540 [252]

Answer:

p = 19.18

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

a^2 = b^2 + c^2 - 2bcCosA

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

g^2 = s^2 + p^2 - 2spCosG

Where

s = 10

g = 18

The equation becomes

18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68

324 = 100 + p^2 - 20 * p * 0.375

324 = 100 + p^2 - 7.5p

Collect Like Terms

p^2 - 7.5p + 100 - 324 = 0

p^2 - 7.5p - 224 = 0

Using quadratic formula:

p = \frac{-b\±\sqrt{b^2-4ac}}{2a}

Where

a = 1

b = -7.5

c = -224

p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}

p = \frac{7.5\±\sqrt{56.25+896}}{2}

p = \frac{7.5\±\sqrt{952.25}}{2}

p = \frac{7.5\± 30.86}{2}

p = \frac{7.5 + 30.86}{2} or p = \frac{7.5 - 30.86}{2}

p = \frac{38.36}{2} or p = \frac{-23.36}{2}

p = 19.18 or p = -11.68

But length can not be negative.

So:

p = 19.18

6 0
3 years ago
Write the expression (2−3i)+5i(1−3i)<br> as a complex number in standard form.
Katarina [22]

Answer:

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Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

= 2 - 3i + 5i - 15i²  [ i² = - 1 ]

= 2 + 2i + 15

= 17 + 2i ← in standard form

5 0
3 years ago
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Maru [420]

Answer:

c/8 =__

Step-by-step explanation:

8 0
3 years ago
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bailey has a 72 oz water bottle that is 3/8 full, stacie has a 60 oz water bottle that is 3/5 full, tamara has a 48 oz water bot
Semenov [28]

Step-by-step explanation:

Bailey has 27 oz

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Apply the distributive property to write an equivalent expression in factored form: 12s + 18r
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