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4 years ago

The product of 5 and a number x is 14 .

Mathematics

1 answer:

Elena-2011 [213]4 years ago

8 0

5x = 14 where x is the unknown number

divide both sides by 5:-

x = 14/5 or 2 4/5

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-5f-2+8-3k use f=7 and k=8

gulaghasi [49]

The answer to this equation is -53. This is because 7 times -5 equals -35. -35-2 equals -37. -3 times 8 equals -24. -24 plus 8 equals -16. -37+(-16)= -53

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3 years ago

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Line segment AB has endpoints A (-4, 4) and B (2, 4). What is the length of line segment AB?

sineoko [7]

Step-by-step explanation:

the distance is sqrt ( (-6)^2 + (-12)^2) = sqrt( 36 + 144) = sqrt( 180) = sqrt(36*5) = 6 * sqrt(5)

2/(2+4) = 2/6 = 1/3

-2 + (1/3)*6*sqrt(5) = -2 + 2* sqrt(5)

6 + (1/3)*6*sqrt(5) = 6 + 2* sqrt(5)

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3 years ago

52.Consider the functionsf(x) = 2* x+6 and g(x) = 5*2x.

likoan [24]

Answer:

$x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\\x \approx 1.65$

Step-by-step explanation:

Given

$f(x) = 2^{\left(x+6\right)}$

$g(x) = 5^{2x}$

We want to find $f(x) = g(x)$

For this you need to:

if $f(x) = g(x)$ , then $\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)$

$\ln \left(2^{x+6}\right)=\ln \left(5^{2x}\right)$

Apply log rule: $\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)$

$\left(x+6\right)\ln \left(2\right)=2x\ln \left(5\right)$

Solve for x

Expand $\left(x+6\right)\ln \left(2\right) = \ln \left(2\right)x+6\ln \left(2\right)$

$\ln \left(2\right)x+6\ln \left(2\right)=2x\ln \left(5\right)$

$\ln \left(2\right)x=2x\ln \left(5\right)-6\ln \left(2\right)\\\ln \left(2\right)x-2x\ln \left(5\right)=-6\ln \left(2\right)\\\left(\ln \left(2\right)-2\ln \left(5\right)\right)x=-6\ln \left(2\right)\\\\x=\frac{6\ln \left(2\right)}{2\ln \left(5\right)-\ln \left(2\right)}\approx 1.65$

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3 years ago

If 6 – 2x – 8x = 16, then 5x = ?<br> a. 10<br> b. -2<br> c. -1<br> d. -5

Archy [21]

6 - 10x = 16
-10x = 10, x = -1
5(-1) = -5
The answer is d

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3 years ago

The local movie theater offers a 15 percent discount to senior citizens. If the regular movie price is $8.00, how much is it for

vovikov84 [41]

The answer is $6.80.

The full price: $8.00 (100%)
The discount: 15%
The discounted price: x (100% - 15% = 85%)

Make a proportion.
$8.00 : 100% = x : 85%
x = $8.00 * 85% : 100% = $6.80

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3 years ago

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