Please answer this question for 30 points and brainliest!

Log(-2a+9)=log(7-4a) please helpp!!

Grace [21]

Verify each of the solutions by substituting them back into the original equation log(−2a+9)=log(7−4a)log(-2a+9)=log(7-4a) and solving. In this case, all solutions were found to be valid.a=−1

7 0

4 years ago

Read 2 more answers

(60 Points)

ziro4ka [17]

Answer:

Graph 1

Step-by-step explanation:

The reason for the answer being graph one is because the equation |x| = 1 means the absolute value of x could either be 1 or -1 , resulting in points rather than lines as the equation is already solved rather then being less than or greater than.

Hope this helps!

8 0

3 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Svetradugi [14.3K]

Answer:

The probability that the sample proportion will be less than 0.05 is 0.80511.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.

Suppose the true proportion is 0.04 and 349 are sampled.

Let $\hat p$ = sample proportion

The z score probability distribution for sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

n = sample size = 349

p = population proportion = 0.04

Now, the probability that the sample proportion will be less than 0.05 is given by = P( $\hat p$ < 0.05)

P( $\hat p$ < 0.05) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.05-0.04}{\sqrt{\frac{0.05(1-0.05)}{349} } }$ ) = P(Z < 0.86) = 0.80511

The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.

Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.

5 0

4 years ago

While taking a ride in a hot air balloon in Napa Valley, Francisco wonders how high he is.

RUDIKE [14]

let landmark be at L
ZN = 100, NL = x (say)
tan 54 = (100+x)/H
100 + x = H tan 54 -------------- (1)
------------------------------
tan 61 = H/x ................ [alternate angle]
x = H cot 61 ------------------------- (2)
put x from (2) into (1)
H cot 61 + 100 = H tan 54
H = 100 / [tan 54 -cot 61]
H = 100 / [1.376 - 0.554]
H = 121.65 feet

5 0

4 years ago

Y = -(x + 1)2 + 3

alukav5142 [94]

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope: −2-2

y-intercept: 11

Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values.

Tap for more steps...

xy011−1xy011-1

Graph the line using the slope and the y-intercept, or the points.

Slope: −2-2

y-intercept: 11

xy011−1xy011-1

3 0

3 years ago