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PSYCHO15rus [73]
3 years ago
8

7(x + 4) + 6(x-3) = 8 (x-3) -2(x+4)

Mathematics
2 answers:
Pavel [41]3 years ago
6 0

Answer:

-6

Step-by-step explanation:

7x+28+6x-18=8x-24-2x-8

13x+10=6x-32

7x=-42

x=-6

Luden [163]3 years ago
5 0

Answer:

x = -6

Step-by-step explanation:

expand the brackets:

7x+28 + 6x-18 = 8x-24 - 2x-8

now, collect like terms:

13x + 10 = 6x -32 (subtract 6x from both sides)

7x + 10 = -32 (minus 10 from both sides)

7x = -42 (divide by 7)

x = -6

sub into the original formula to check

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For a quadratic function, which characteristics of its graph is equivalent to the zero of the function? a) y-intercept b) maximu
Sonja [21]

Answer:

d) x-intercept

Step-by-step explanation:

The zeros of a function are the values of x that make y = 0.

Thus, they are the points where the graph crosses the x-axis, that is, the x-intercepts.

a) is wrong. the y-intercept is simply the value of y when x = 0.

b) and c) are wrong. A quadratic can have only one maximum or one minimum; it can't have both. And they are not zeros except in the special case of y = ±ax².

The diagram below is the graph of y = x² + 3x - 46. It shows the zeros at x = -23 and x = 20. The minimum and the y-intercept are not zeros of the function.

3 0
3 years ago
A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the
Anni [7]

Answer:

8.68,13.16

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92

Standard deviation of the sample is,

\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6

The confidence interval will be,

=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}

=10.92 \pm 2.24

=8.68,13.16

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

5 0
3 years ago
The price of a European tour includes stopovers at five cities to be selected from 15 cities. In how many ways can a traveler pl
serious [3.7K]

Answer:

The correct answer is D. 360,360.

Step-by-step explanation:

Number of cities as stopovers available for selection for an European tour = 15

A traveler has to select a total of five cities from these the given 15 cities for his tour and order is determined by the travel company.

Therefore the number of ways the traveler plan such a tour is given by \left[\begin{array}{ccc}15\\5\end{array}\right] = 3003.

Now the order of the cities chosen by the travel company is given by 3003 × 5! = 360,360 ways.

6 0
3 years ago
HELPPP PLEASE!!!!!!!!!!!
Svetlanka [38]

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

the y- intercept is the value of y where the line crosses the y- axis , then

y- intercept = 2

8 0
2 years ago
Jodie has chosen a set of vases for her wedding registry. The vases are cylindrical and their dimensions (in inches) are as foll
poizon [28]

Answer:

Option A

Step-by-step explanation:

V = πr2h = π·22·12 ≈ 150.79645 - Vase A

V = πr2h = π·42·6 ≈ 301.59289 - Vase B

7 0
2 years ago
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