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leonid [27]
3 years ago
10

the difference of two numbers is negative ten. seven times the first plus seven times the second is negative fourteen.

Mathematics
1 answer:
Kaylis [27]3 years ago
3 0
X-y=-10
x=-10-y

7x+7y=-14
7(-10-y)+7y=-14
-70-7y+7y=-14
0y=56
y=0

x=-10-y
x=-10-0
x=-10

I’m not 100% sure if this is right, so I hope someone checks this over :)
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The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?
iren2701 [21]
F(x)......ur output = 19

19 = 2x^2 + 3x + 5
2x^2 + 3x + 5 - 19 = 0
2x^2 + 3x - 14 = 0
(2x + 7)(x - 2) = 0

2x + 7 = 0
2x = -7
x = -7/2

x - 2 = 0
x = 2

I believe there is 2 possible answers......x (ur input value) = -7/2 or 2
4 0
3 years ago
The function f is given by f(x) = 3x² - 5<br> -<br> a) Work out f '(43)
Lana71 [14]

Answer:

5236

Step-by-step explanation:

let x=43

f(43)=3(43)^2-5

f(43)=3(1749)-5

f(43)=5241-5

f(43)=5236

4 0
3 years ago
An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information abou
slamgirl [31]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Rearranged data:

5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94

Start time for Suriname = 694

Mean = ΣX / n

Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44

B.) median start Time for initial 24 values

0.5(n+1)th term

0.5(25) = 12.5th term

(13 + 13) / 2 = 13

C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated

d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.

Using calculator :

Lower quartile Q1 --> 7

Median Q2 --> 13

Upper quartile Q3 --> 42

IQR = (Q3 - Q1) = 42 - 7 = 35

OUTLIER:

Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5

Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5

Outlier : values below - 45.5 and above 94.5

Hence, Surimanes start time is the only Outlier.

e)

Standard deviation for 24 countries :

Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]

Usibg calculator :

Standard deviation for the 24 countries is 23.83

f)

Standard deviation

5 0
3 years ago
Solve the following equation for x: 2x – 3y = 6.
Ksivusya [100]

Answer:

x=3/2y+3

Step-by-step explanation:

Let's solve for x.

2x−3y=6

Step 1: Add 3y to both sides.

2x−3y+3y=6+3y

2x=3y+6

Step 2: Divide both sides by 2.

2x2=3y+62

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6 0
3 years ago
Test worth 70 points test score of 90%
diamong [38]
To calculate how many points this person got, take 90% of the total:

0.9(70) = 63

A test score of 90% is 63 points out of 70.
3 0
4 years ago
Read 2 more answers
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