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djyliett [7]
1 year ago
13

Help me please I need a good grade

Mathematics
2 answers:
elena55 [62]1 year ago
8 0
X-7+2x+1=90
x+2x-7+1=90
3x-5=90
3x=96
x=32
Lorico [155]1 year ago
7 0

Answer: x=32

Step-by-step explanation:

x-7+2x+1=90

x+2x-7+1=90

3x-6=90

3x=96

x=32

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Find the product of (2x − 3)(2x2 7x − 1). 4x3 − 6x2 − 9x 3 4x3 8x2 − 23x 3 4x3 20x2 − 9x 3 4x3 − 6x2 − 23x 3.
wlad13 [49]

Product of polynomials can be done by distribution of multiplication over addition. The product of  (2x - 3)(2x^2 + 7x  - 1) is 4x^3 + 8x^2 -23x + 3

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

(2x - 3)(2x^2 + 7x  - 1)  = 2x(2x^2 + 7x  - 1) -3(2x^2 + 7x  - 1) \\(2x - 3)(2x^2 + 7x  - 1)  = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x  - 1)   = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x  - 1)   = 4x^3 + 8x^2 -23x + 3

It is because when bases are same and there is multiplication, then powers add up, so we have: a^b \times a^c = a^{b+c}

Also, we've

(-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve

where -ve, +ve are sign of operands and result.

That's why 2 \times -1 = -2

Thus,

The product of   (2x - 3)(2x^2 + 7x  - 1)  is 4x^3 + 8x^2 -23x + 3

Learn more about product of polynomials here:

brainly.com/question/9106484

8 0
3 years ago
Given the equation y=4x-3, if x increases by 2 unit, what is the corresponding change in y
shutvik [7]

y increases by 8

given y = 4x - 3 then an increase in x of 2 units gives

y = 4(x + 2) - 3 = 4x + 8 - 3 = 4x + 5

change in y = 4x + 5 - (4x - 3) = 4x + 5 - 4x + 3 = 8


3 0
3 years ago
How many minutes is 3/10
Vesna [10]
About 0.3 minutes✌️✌✌
3 0
3 years ago
What is the volume in cubic inches?
Fittoniya [83]

Answer

A) 2160 cubic inches

Step by step explanation

Volume of a rectangular prism = length *width*height.

The give figure (stairway) consists of two rectangular prism.

The volume of the first rectangular prism (bigger one) = 12 *10*12

=120*12

1 st prism = 1440 cubic inches

The volume of the rectangular prism 2 (smaller one) = 12*10*6

=120*6

The volume of the rectangular prism 2 = 720 cubic inches

The volume of the concrete stairway = Volume of the prism 1 + Volume of the prism 2

= 1440 + 720

The volume of the concrete stairway = 2160 cubic inches.

Thank you.

4 0
4 years ago
Sherrie's biology class is studying the ability of a certain microbe to dissipate oil spilled in seawater. to be effective the p
choli [55]

The exponential equation for the growth is f(x)=57e^{0.51x} where x is the number of days and the population on 21st march is 2069983.5 of microbes.

Given:

Days                   population

0                                57

1                                 95

5                               700

10                               8525

We have to form exponential equation which shows the growth of microbes.

We know that exponential equation which shows the sum is as under:

f(x)=Pe^{rt} where r is the rate of growth and x is the number of days, months or years depending on how things grows.

In the question when x=0 population is 57.

f(0)=57

Pe^{0}=57

P=57

When x=1, population is 95.

f(1)=95

Pe^{r}=95

57 e^{r}=95

57=95/e^{r}----1

when x=5,population is 700.

f(5)=700

Pe^{5r}=700

57e^{5r}=700

57=700/e^{5r}-----2

Equating 1&2

95/e^{r}=700/e^{5r}

e^{5x} /e^{x} =700/95

e^{5r-r}=7.36

e^{4r}=7.36

(2.7182)^{4r}=(2.7182)^{2}

equating both sides

4r=2

r=0.5

put the value of t=21 in the exponential equation

f(21)=57e^{0.5*21}

=57e^{10.5}

=57*36315.5

=2069983.5

Hence the population on 21st march is 2069983.5.

Learn more about equation at brainly.com/question/2972832

#SPJ4

8 0
2 years ago
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