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Iteru [2.4K]
3 years ago
13

Fill in the blank space z2 + 5z – 36 = (z – 4)(z +_)

Mathematics
1 answer:
labwork [276]3 years ago
8 0
Answer=9

To solve this, we just have to find a number that, when added to -4, make a total of 5, and when multiplied by -4 make a total of -36.

x+-4=5

x*-4=-36

9 fits the parameters for both of these

9+-4=9
9-4=5
5=5

9*-4=36
36=36
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The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with
UNO [17]

Customer price index is the price index which measures the weight average of price of basket of customers goods or services. The reasonable estimate of the current customer price index is 195. The option B is the correct option.

Given information-

The data table for the given problem is attached below.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services. It can be given as,

CPI_t=\dfrac{C_t}{C_0} \times 100

Here C_t is the cost of market basket in current period and C_0 is the cost of market basket in the base period.

Cost of market basket in current period is.

C_t=126.85+29.95+2.25+44.25\\C_t=203.3

Cost of market basket in 1983 is,

C_0=67.45+15.25+1.15+22.85\\C_0=106.7

Put the value in the customer price index formula,

CPI_t=\dfrac{203.3}{106.7} \times 100\\CPI_t=190.5

Thus the value of current CPI is 190.5 which is near about the 195.

Hence the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index  here;

brainly.com/question/25495502

3 0
3 years ago
Use the operation signs +,-, x, and ⌯ once each in the expression below to make the number sentence true. Why does your answer m
Zepler [3.9K]

Answer:

6 * (3 - 1) + 5 \div 1 = 17

Step-by-step explanation:

Given

6\ [\ ]\ (\ 3\ [\ ]\ 1\ )\ [\ ]\ 5\ [\ ]\ 1\ =\ 17

Required

Fill in the box with +,-, x, and ⌯ (once each)

This question is solved using trial by error approach.

After some tests, the solution that matches the equation is:

6 * (3 - 1) + 5 \div 1 = 17

6 0
2 years ago
WORTH 50 points pls answer.<br> The two polygons are similar. Find the values of x and y
Digiron [165]

Answer:

y = 120

x = 10.6

Step-by-step explanation:

Given polygons are parallelograms.

In parallelograms, consecutive angles are supplementary which means their sum is equal to 180.

Since two parallelograms are similar:

60 + y = 180 subtract 60 from both sides

y = 120

To find the value of x:

side lengths are proportional because these are similar polygons

\frac{x+4}{22} = \frac{12}{18} cross multiply fractions

18x + 72 = 264 subtract 72 from both sides

18x = 192 divide both sides by 18

x = 10.6 approximately

6 0
1 year ago
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Gala2k [10]

Answer:

A,C,D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the scale factor of triangle abc and triangle def​
Thepotemich [5.8K]

Answer:

The answer is 6

Step-by-step explanation:

ABC is 72, 66, 42 and DEF is 12, 11, 7

simply divide the largest shape measurements by the smaller one.

72÷12

66÷11

42÷7

you get 6 in all of them, this technique may not work all the time.

8 0
3 years ago
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