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ipn [44]
3 years ago
15

What are the solutions to the equation? 3x^2+6x=45 Enter your answers in the boxes.

Mathematics
2 answers:
maksim [4K]3 years ago
8 0

Answer:

Step-by-step explanation:

3x² +6x = 45

divid by : 3 :

x² +2x = 15

(x² +2x +1 )-16 = 0

( x + 1 )² - 4² = 0

note : a² - b² = (a - b ) ( a + b)  ...idetity

( x +1 -4)( x + 1 +4) = 0

(x -3 ) ( x+5) =0

x-3 = 0 or x +5 = 0

x = 3  or x = - 5

my answer in the boxes :   x = 3 and x = -5

Gnoma [55]3 years ago
5 0

x= 3,-5

hope this helps

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PLEASE HELP ASAP
Lerok [7]

Answer:

A) 2(9x - 2)

Step-by-step explanation:

The greatest common factor of 18x and -4 is 2.

B is wrong because 18 is not the greatest common factor of both, since 4 cannot be divided by 18 and result in a whole number.

C is wrong because 18x cannot be divided by 4 to produce a whole number.

D is wrong because it restates the problem in a different way, therefore not factoring it completely. 1 is a common factor of both, but not the greatest.

4 0
2 years ago
The same Honey is sold in two different size jars. Large jar= 540g for £4.10 Small jar= 360g for £2.81. By considering the amoun
Ray Of Light [21]

Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

   £1.00 will purchase xg

cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

4 0
3 years ago
Wahaj buys a pizza for rs 800.A week later,the same piza costs rs 900.When wahaj asks the manger for the reason ,he explain that
lions [1.4K]

Answer:

12.5%

Step-by-step explanation:

The price increased from 800 to 900. So what is the PERCENTAGE INCREASE??

The increase is 900 - 800 = 100

To find this in terms of original, we need to divide 100 by 800 and multiply by 100 to get the "percentage". Let's do it:

\frac{100}{800}*100=12.5

So the increase is 12.5% and thus the general sales tax is 12.5%

6 0
2 years ago
What is the area of the composite figure
oksano4ka [1.4K]

Answer:

C

Step-by-step explanation:

To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.

Semi-circle:

The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into \pi r^2 = \pi 4^2 = 16\pi. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is \pir^2 = \pi 2^2=4\pi. The semi circle in the shape is the areas subtracted which equals 12π.

Rectangle:

The area of the rectangle is found using A = b*h = 2*5 = 10.

The total area is 12π + 10 meters squared.

5 0
3 years ago
I WILL MARK YOU BRAINLIEST PLS HELP!!! The image below shows two dilated figures with lines AB and A’B’ drawn. If the larger fig
geniusboy [140]

Answer:

Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)

Step-by-step explanation:

The relationship between two lines AB and A’B’ is A'B'=3AB.

It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.

The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.

Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.

By cross multiplication we get

The length of segment A'B' is 3 times of AB.

MARK ME BRAINLIEST!

6 0
2 years ago
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