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MArishka [77]
3 years ago
15

Find the difference between (x + 5) and (2x+3)​

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer: The difference between the given expressions would be

Step-by-step explanation:Step-by-step explanation:

Given phrase,

Difference between x+5 and 2x+3,

  ( By distributive property )

    ( By combining like terms )

Hence, the required difference would be

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Sarah has read aloud in class 3 more times than Joel. Sarah has read 9 times. Which equation represents this situation?
Naya [18.7K]
A j + 3 = 9

9-3=6
j=6
6+3=9
6 0
4 years ago
-Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has
pochemuha

The value of home today is $ 424527.63

<em><u>Solution:</u></em>

Given that, Twenty years ago, Mr. Davis purchased his home for $160,000

Since then, the value of the home has  increased about 5% per year

To find: Exponential function to find the value of home today

<em><u>The exponential growth function is given by:</u></em>

y = a(1 + r)^t

Where, "y" is the worth after "t" years

"a" is the initial amount

"r" is the rate of interest per year

From given information,

a = 160000

t = 20 years

r = 5 \% = \frac{5}{100} = 0.05

Substituting the values we get,

y = 160000(1 + 0.05)^{20}

Thus the exponential function is found

Let us find the value

y = 160000(1 + 0.05)^{20}\\\\y = 160000(1.05)^{20}\\\\y = 160000 \times 2.653\\\\y = 424527.63

Thus the value of home today is $ 424527.63

5 0
3 years ago
Find the center of a circle with the equation: x^2 + y^2 - 2y - 8x - 19 = 0
777dan777 [17]

Answer:

(4, 1)

Step-by-step explanation:

x^2 + y^2 - 2y - 8x - 19 = 0

We rearrange the terms and complete the square twice.

x^2 - 8x + y^2 - 2y = 19

x^2 - 8x + 16 + y^2 - 2y + 1 = 19 + 16 + 1

(x - 4)^2 + (y - 1)^2 = 6^2

The center is (4, 1)

3 0
3 years ago
Find the sum to infinity of a geometric series having a second term of -9 and fifth term of 1/3 g
Eduardwww [97]

Answer:

S infinity= -51/4

Step-by-step explanation:

First term

ar= -9

Fifth term

ar⁴= 1/3

Solving for the value of the r and a

ar= -9

ar⁴= 1/3

Dividing each other

r³=1/3 * -1/9

r³=-1/27

r= 3√-1/27

r= -1/3

Solving for a

ar= -9

a(-1/3)= 9

a= 9*-3

a= -27

Sum of a go to infinity is given by the formula

S infinity= a/(1-r)

S infinity= -27/(1-(-1/3))

S infinity= -27/(1+1/3)

S infinity= -27 * 3/4

S infinity= -51/4

5 0
3 years ago
total of $ 33 comma 000 is to be​ invested, some in bonds and some in certificates of deposit​ (CDs). If the amount invested in
leva [86]

Answer: $17,000 invested in bonds and $13,000 in certificate of deposit

Step-by-step explanation: let x = amount invested in bonds

y = amount invested in certificate of deposits.

According to the question, amount invested in bonds is $4000 more than the amount invested in certificate of deposits.

x = y + $4000 — (1)

Also from the question, the total money for investment is $30,000

x + y = $30,000 — (2)

By substituting eqn (1) into eqn (2), we have

y + 4000 + y = 30, 000

2y + 4000 = 30,000

2y = 30,000 - 4000

2y = 26,000

y = $ 13,000

But x + y = 30,000 where y = 13,000

x + 13, 000 = 30,000

x = 30,000 - 13,000

x = $17,000

Hence $17, 000 is invested in Bonds and $13, 000 in certificate of deposit

7 0
3 years ago
Read 2 more answers
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