factorise 8x^2 + 10x + 3

Answers

Answer 1

Answer:

Step-by-step explanation:

so 8^2 +10x+3 (if you times 8*3 -gives you 24)

the middle number is 10X right so then you have to guess two numbers that either add up or take away to make it a positive 10.

so example if i try 5+5 it gives me 10 but it i multiply 5 by 5 -it gives 25 therefore lets try another pair of numbers.

i chose 6 and 4 because when i add them it gives me 10 and when i multiply them, it gives me 24.

therefore im just going to:

8x^2+6x+4x+3

to factorise im going to use 2x

2x(4x+3) + 1(4x+3)

so my answer is (2x+1) and (4x+3)


Related Questions

Find the area of the isosceles trapezoid below by using the area formulas for rectangles and triangles. A = 10 cm, b = 14 cm, and c = 5 cm

Answers

Answer:

The area is 60 cm^2

Step-by-step explanation:

Here, we want to calculate the area of the isosceles trapezoid

Mathematically, the area is ;

Area = 1/2( a + b) c

Thus, we have that;

Area = 1/2(10 + 14)5

= 1/2 * 24 * 5

= 60 cm^2

There are 8 times as many dogs as cats. If the total number of dogs and cats is 45, how many dogs are there?

Answers

Answer:

40

Step-by-step explanation:

because if there are 5 cats and then there are 8 TIMES AS CATS then its 8 * 5= 40 +5 = 45

WHY 45?

because the total of cats and dogs is 45

What is %+% Equal? My friend asked me and I didn't know what he was talking about.

Answers

the answer to your question is %%

A jacket cost $35.50 more than a pair of tennis shoes if the total cost of both items is $161.30 find the cost of each

Answers

Answer:

$62.9 and $98.4

Step-by-step explanation:

Let the cost of tennis shoe be x

Since a jacket cost $35.50 more than a pair of tennis shoe,

Then cost of jacket would be

= $35.50 + x

Total cost of both items would be;

x + $35.50 + x = $161.30

2x = $161.30 - $35.50

2x = $125.8

x = $62.9

Therefore, cost of pair of tennis shoe is $62.9

Jacket cost would now be

= $35.5 + x

= $35.5 + $62.9

= $98.4

Determine en donde la funcion dada es creciente,concava hacia riba y concava hacia abajo. y= x3–3x–1

Answers

Answer:

Es creciente en los siguientes intervalos: [tex][-\infty,-1] U [1,\infty][/tex]

Es concavo hacia abajo en el intervalo: [tex][-\infty,0)[/tex]

Es concavo hacia arriba en el intervalo: [tex](0,\infty][/tex]

Step-by-step explanation:

Sea la función:

[tex]f(x)=x^{3}-3x-1[/tex]

Para determinar el intervalo de crecimeinto debes determinar la primer derivada de la función (f'(x)). El intervalo donde f'(x) > 0 es creciente.

La derivada de f(x) es:

[tex]f'(x)=3x^{2}-3[/tex]

Entonces es creciente en los siguientes intervalos:

[tex][-\infty,-1] U [1,\infty][/tex]    

Ahora para determinar la concavidad debemos determinar la segunda derivada de la función (f''(x)). Si f''(x) > 0 la función es concava hacia arriba, si f''(x) < 0 la funcion es concava hacia abajo.

La segunda derivada de f(x) es:

[tex]f''(x)=6x[/tex]        

Por lo tanto:

Es concavo hacia abajo en el intervalo: [tex][-\infty,0)[/tex]

Es concavo hacia arriba en el intervalo: [tex](0,\infty][/tex]

Espero te haya ayudado!

Sweets are sold loose, or pre-packed in 120 g bags.
The 120g bags are £1.49 each.
The loose sweets are £0.89 for 100g.
By calculating the price per gram, determine which is better value.

Answers

Answer:

Step-by-step explanation:To find the better deal divide the price by the weight of each and compare:

1.49 / 120 = 0.012 per gram

0.89/ 100 = 0.0089 per gram

Buying loose is the better deal because the price per gram is smaller

find value of x and y
PLEASE HELP IM RUNNING OUT OF TIME

Answers

just cheat dawg sometimes you got to cheat

Find the sum of 5x2 - 3x + 2 and 3x2 - 4x - 1. Show all your work!!

Answers

Answer:

5 x ^2  −  3 x  +  2  =  3 x  −  4 x  −  1  =  − x  −  1

Can't explain, cause it will be more confusing.

Which of the following equations is the translation 2 units down of the graph of y= Ix ?

a.) y= | x - 2|
b.) y= | x + 2|
c.) y= | x | +2
d.) y= | x | -2

Answers

Answer:

D

Step-by-step explanation:

translation down is just subtracting a number out side the | x |

Nina made 14 curtains of the same length out of 30 1/3 yards of fabric. What is the length of the curtain?

Answers

Answer:

2 1/6 yards

Step-by-step explanation:

Nina made 14 curtains of the same length out of 30 1/3 yards of fabric. What is the length of the curtain?

14 curtains = 30 1/3 yards

1 curtain = x yard

Cross Multiply

14 curtains × x yard = 30 1/3 yards × 1 curtain

x yards = 30 1/3 yards × 1 curtain /14 curtains

x yards = 30 1/3 yards /14

x yards = 30 1/3 ÷ 14

x yards = 91/3 × 1/14

x yards = 91/42

x yards = 2 7/42

x yards = 2 1/6 yards

Therefore, the length of the curtain is 2 1/6 yards

ΔABC is right-angled at C.If AC=5cm and BC=12cm find the length of AB.​

Answers

Answer:

13

Step-by-step explanation:

This is an application of the pythagorean theorem. Because C is centered at the right angle, AB must be the hypotenuse (I would draw this for you but I don't know how). Thus, we would get sqrt(5^2+12^2)=sqrt(169)=13.

The Pythagorean Theorem.
∴p∵l∴e∵a∴s∵e∴h∵e∴l∵p∴
i don't understand

Answers

Answer:

I honestly don't know the answer but I'll try to help you understand the formula.

Step-by-step explanation:

for you to find the missing length of the hypotenuse you need to get your other 2 sides and multiply them by themselves/ square. After that you want to add them together. Now you have to find the square root of that total number which will be your length.

√a2+b2  

hope this somehow helps

This recipe makes 10 portions of porridge.
Complete the amount of each ingredient that is needed to make just 7 portions.

Recipe: Serves 10
350 g oats
1.4 ML MILK
70 g sugar
PLEASE HELPP

Answers

Answer:

245g oats

0.98L milk

49g sugar

Step-by-step explanation:

350÷10=35

1.4÷10=0.14

70÷10=7

35×7=245

0.14×7=0.98

7×7=49

The length of a rectangle is 4 meters less then 3 times the width. The perimeter is 16 meters. Find the width

Answers

Solution :

Given :

Perimeter, P = 16 m

The length is 4 times less then three times the width.

Let the length be l and width be w.

Therefore, according to the equation :

Length, l = 3w -  4  ................(i)

Perimeter, P  = 2(l+w)

                 16 = 2(l+w) ............(ii)

                 16 = 2l + 2w

                  8 = l + w ..............(iii)

Therefore solving equation (i) and (iii)

l = 3w - 4

8 = l + w

We get, w = 3  and l = 5

Answer:

16 divided by 3 = 5.3

Step-by-step explanation:

There are some chickens and pigs in a farm. If you count the number of heads, you get 80 heads. If you count the number of feet, you get 254 feet. How many chickens and how many pigs are there?

Answers

Step-by-step explanation:

Let's assume that x = number of chickens and y = number of pigs.

[tex]80 \: heads = x + y[/tex]

Since there are 4 feet for pigs and 2 feet for chickens:

[tex]254 \: feet = 2x + 4y[/tex]

By substitution, let's rearrange the first equation:

[tex]x = 80 - y[/tex]

Substituting this equation to the second one:

[tex]254 = 2(80 - y) + 4y \\ 254 = 160 - 2y + 4y \\ 254 - 160 = 2y \\ 94 = 2y \\ y = 47 \: pigs[/tex]

Since we found the number of pigs already, let's substitute the value to any of the equations.

[tex]80 = x + y \\ 80 = x + 47 \\ 80 - 47= x \\ x = 33 \: chickens[/tex]

There are 32 chickens and 48 pigs.

To check if 3e are correct, let's use the second equation:

[tex]254 = 2x + 4y \\ 254 = 2(33) + 4(47) \\ 254 = 66 + 188 \\ 254 = 254[/tex]

Therefore, the values we found are correct.

4(x + 4y) + 3(4x + y)

Answers

The simplified version of this would be: (4x+16y)+(12x+3y). You then combine like terms (4x+12x=16x) and (16y+3y=19y). Since this is the most simplified you can make the equation THE ANSWER would be 16x+19y

Independent Practice

Find the midpoint of the segment.

A. (4, 2)
B. (1, 0)
C. (-4, 0)
D. (0, 1)

Answers

Answer:

B. (1, 0)

Step-by-step explanation:

9514 1404 393

Answer:

  B.  (1, 0)

Step-by-step explanation:

You can count grid squares on the graph to find the point that is 4 of the 8 units horizontally between the points, and 2 of the 4 units vertically between the points. That will be ...

  C +(4, 2) = D -(4, 2) = (1, 0)

__

Or, you can use the midpoint formula:

  M = (C +D)/2

  M = ((-3, -2) +(5, 2))/2 = (-3+5, -2+2)/2 = (2, 0)/2

  M = (1, 0)

The midpoint is (1, 0).

what's the slope?
PLZ HELP AHH

Answers

Answer:

I think the answer is 2/3

A circle has a diameter of 10 millimeters. What is the area of the circle?

Answers

Answer:

78.54 millimeters

Step-by-step explanation:

A=πr^2

A= 3.14 times 5 millimeter squared

A=78.54

system by substitution.
Tar 7x - 3y=8
y=3x

Answers

Answer:

3k

Step-by-step explanation:

jr9rrirjrhr 4irjrirbrurbir rir rir rir her ror ror ir mirror tir tir the ever tir threw tr her rir her r ror rd jenn lwor rope rope mtn 4 ven kr rke the rurr

I need this answer following the order of operation. Please help!

Answers

Answer:

The answer to the question provided is 1.

1.
Violet earns $54 for mowing 3 lawns. If she charges the same amount for each
lawn, how much will she earn for mowing 5 lawns?

Answers

54 divide by 3 is 18 and 18 times 5 is 90

State what method you would use to solve the equation. Justify your answer. You do not need to solve the equation.

Answers

Answer:

By factoring

Step-by-step explanation:

4x^2+25=20x then:

4x^2-20x+25=0

factoring:

(2x-5)(2x-5)=0

2x=5, x=2.5

Which of the following could not be the lengths of sides of a right triangle?

6, 8, 10

8, 10, 12

8, 15, 17

9, 12, 15

Answers

Answer:

8,15,17

Step-by-step explanation:

 it doesn’t match the triangle inequality theorem. the sum of the side lengths don’t exceed that of the third side

Need help with this ASAP ILL LOVE U FOREVER

Answers

Answer:its easy it the first one you had posted

Step-by-step explanation:

Answer:

substitute x for -36 and y for 58

Step-by-step explanation:

Andy runs 873.6 meters in 124.16 seconds. If Andy runs at a constant speed, how far does he run in one second?

Answers

Answer:

about 7.04 meters

Step-by-step explanation:

873.6m/124.16sec=7.04 meters per second

Answer:

If you round, he runs 7 meters in a second.

Step-by-step explanation:

Write an inequality for the sentence: the sum of a number and 3 is at least 4. a. N + 3 > 4 b. N + 3 < 4 c. N + 4 > 1 d. N + 4 < 1

Answers

Answer:

a.N+3>4

Step-by-step explanation:

Let N be the number

According to question

Sum of N and 3 is given by

N+3

Atleast means greater than or equal to

At-least 4 means greater than or equal to 4

Therefore,

[tex]N+3\geq 4[/tex]

Hence, the inequality for the given sentence is given by

[tex]N+3\geq 4[/tex]

a.N+3>4

Can someone explain similar triangles

Answers

Two triangles can be similar if their corresponding angels are congruent also the corresponding sides are in proportion triangles can be the same shape but not really same size

Solve the equation.
Y/8 =5

Y=?

Answers

the answer is 40. 40 divided by 8 is 5

Answer:

y/8 =5

y/8=5/1

Cross multiply

y/1=5/8

y =40

What is the Perpendicular slope of y=2/5(x)-11

Answers

Answer: 2/5

Step-by-step explanation:

perpendicular to y=2/5x-11 and has a y-intercept of 2. For a line to be perpendicular to another, their slopes must be "negative reciprocal". Therefore we KNOW that the slope is 2/5. also i dont know if you have already solved it but here you go

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