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3 years ago

Find the sum. (-7/2z+4)+(1/5z-15)

Mathematics

1 answer:

Dafna11 [192]3 years ago

7 0

Answer:

-(33+110z)/10z

Step-by-step explanation:

(-7/2z +4)+(1/5z -15)

from BODMAS, solving the one in the bracket

First(-7/2z +4)+(1/5z -15)

Find the Lcm

[-7/2z +4] +[1/5z -15]

(7+8z)/2z +(1-75z)/5z

find the Lcm which is 10z

[5(-7+8z) + 2(1-75z)]/10z

[(-35+40z)+(2-150z)]10z

(-35+2+40z-150z)/10z

(-33-110z)/10z

-(33+110z)/10z

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Solve 6^x+2 = 10 for x using the change of base formula

pashok25 [27]

Answer:

$x\approx-0.7149$

Step-by-step explanation:

$\displaystyle 6^{x+2}=10\\\\\log_6(6^{x+2})=\log_6(10)\\\\x+2=\frac{\log(10)}{\log(6)}\\\\x+2\approx1.2851\\\\x\approx-0.7149$

Recall that the change of base formula is $\displaystyle \log_a(b)=\frac{\log(b)}{\log(a)}$

3 0

2 years ago

For the following pair of lines, identify the system by type.

lions [1.4K]

Answer:

Inconsistent

Step-by-step explanation:

A system of equation is said to be inconsistent if the lines are parallel or the system of equations have no solution.

From the given graphs of lines, we can say that the lines are parallel to each other. Hence, the graphs never intersect.

Since, the lines are parallel hence, we can say that there would be no solution for the system of equations.

Therefore, the system is inconsistent.

Hence, third option is the correct option.

3 0

3 years ago

Hii please help i’ll give brainliest if you give a correct answer!

Vanyuwa [196]

I'm not sure if this dividing,multiplying,subtracting or adding but for adding i got 6 as my answer.I don't know if this the correct answer but its better than having no answer right?

3 0

3 years ago

Read 2 more answers

Help.....................

eduard

Answer:

Answers in Explanation

Step-by-step explanation:

First Question:

$\sqrt{100}$ + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)

$\sqrt{100}$ + [24 - 15] - (60 - 49 - 1)

$\sqrt{100}$ + 9 - 10

10 + 9 - 10

<u>Answer = 9</u>

Second Question:

5x + 2x = 7x

5x^2 + 3x^2 = 8x^2

2x + 3x - x = 4x

2x + 3y + x + y = 3x + 4y

9x - 6x = 3x

-7y + 3x + 4x + 3y = 7x - 4y

-7x^2 + 2x^2 + 9x^2 = 8x^2

(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5

(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8

(3x - 4) - (5x + 2) = -2x - 6

(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x

(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1

Third Question:

17x + 2y

(5x + 12y) + (3x + y) = 8x + 13y

17x - 8x = 9x

2y - 13y = -11y

Answer: 9x - 11y

7 0

3 years ago

A billboard is 27 feet high and casts a 36-foot shadow at noon. At the same time, a fir tree next to the billboard casts a 48-fo

Archy [21]

Proportion can be used to find the height = 0.75

Step-by-step explanation:

A billboard is 27 feet high and casts a 36-foot shadow at noon.

Height of billboard = 27 feet

Height of shadow of billboard = 36 feet

$\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{27}{36}\\\\\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}=\frac{3}{4}=0.75$

A fir tree next to the billboard casts a 48-foot shadow.

Height of shadow of fir tree = 48 foot

$\texttt{Height of shadow of fir tree, H = }\frac{\texttt{Height of billboard}}{\texttt{Height of shadow of billboard}}\times 48$

Proportion can be used to find the height = 0.75

5 0

3 years ago