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4 years ago

5

Solve the logarithmic equation

1 answer:

vichka [17]4 years ago

8 0

$\text{We know:}\\\\\log_ab=c\iff b=a^c\\\\y=\log_{10}0.0001\\\\y=\log_{10}10^{-4}\to\boxed{y=-4}$

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3/4x - 7/12 + 7/24x + 2/3 - 1/6x simplify

n200080 [17]

Answer:

Step-by-step explanation:

=7/8x+11/2

Hope this helps

Mark me as brainiest

3 0

3 years ago

Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the

zimovet [89]

Answer:

school day

Step-by-step explanation:

When drawing a chart or a graph:

x-axis: Independent variable
y-axis: Dependent variable

The two given variables are:

number of students who wear blue shirts
days of the week

Therefore, in this scenario the <u>independent variable</u> is the <u>school day</u> and the <u>dependent variable</u> is the <u>number of students</u> since the former effects the latter.

So the data on the horizontal axis (x-axis) is: school day

8 0

2 years ago

Are the two parabolas defined below similar or congruent or both? Justify your reasoning. Parabola 1: The parabola with a focus

Dominik [7]

Answer:

They are similar by a factor of 14

Step-by-step explanation:

From the general equation of a parabola opening up (since the directrix is on the y axis and the focus is upwards this line) the focus coordinates are:

$Focus = (h,k+p) = (0,2)$

So h=0 and k+p=2, for the directrix:

$y = k-p=-4$

solving k and p from the two equations above:

$k=-1 and p=3$

So for Parabola 1 the equation would be:

$x^{2} =4*3(y+1)$

For Parabola 2 the general equation is:

$x^{2} =4*(3/2)(y)$

here h=0, k=0, p=3/2 so focus is (0,3/2), directix is y=-3/2, they have the same orientation.

they are not congruent. For them to be similar it must comply:

$x_{1}=k x_{2}\\y_{1}=ky_{2} => (1/12)x_{1} ^{2} -1 = k(1/6)x_{2} ^{2}$

replacing $x_{1}$ and solving for k:

$(1/12)(kx_{2}) ^{2} -1 = k(1/6)x_{2} ^{2}\\ (1/12)k^{2} x_{2}^{2}-1 = k(1/6)x_{2} ^{2}\\k-12 = (12/6)=2\\k = 2+12=14\\$

They are similar by a factor of 14

8 0

3 years ago

Find the value of y for the following system of equations 5x + 3y = 10 x = y - 6

viktelen [127]

Answer:

x = -1 , y = 5

Step-by-step explanation:

Solve the following system:

{5 x + 3 y = 10 | (equation 1)

x = y - 6 | (equation 2)

Express the system in standard form:

{5 x + 3 y = 10 | (equation 1)

x - y = -6 | (equation 2)

Subtract 1/5 × (equation 1) from equation 2:

{5 x + 3 y = 10 | (equation 1)

0 x - (8 y)/5 = -8 | (equation 2)

Multiply equation 2 by -5/8:

{5 x + 3 y = 10 | (equation 1)

0 x+y = 5 | (equation 2)

Subtract 3 × (equation 2) from equation 1:

{5 x+0 y = -5 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by 5:

{x+0 y = -1 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = -1 , y = 5

5 0

4 years ago

Dave bought 4 cookies at a bake sale if each cookie cost 0.85 and he paid with a twenty dollar bill how much change should he ge

beks73 [17]

Answer:

$16.60

Step-by-step explanation:

4 x 0.85 = $3.40

20 - 3.40 = 16.6

Dave should get back $16.60 in change.

5 0

3 years ago

Read 2 more answers