MATHEMATICS MIDDLE SCHOOL

I need help factoring  quadratic equation

10x^2+31x+24

Answers

Answer 1
Answer: 10x^2+31x+24 = \n \n=10x^2+31x-15x+15x+24 =\n \n= 10x^2+16x+15x+24 =\n \n=2x(5x+8) +3(5x+8)=\n \n=(5x+8)(2x+3)
Answer 2
Answer: 10x^2+31x+24\n\na=10;\ b=31;\ c=24\n\n\Delta=b^2-4ac\n\n\Delta=31^2-4\cdot10\cdot24=961-960=1\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=\sqrt1=1\n\nx_1=(-31-1)/(2\cdot10)=(-32)/(20)=-(8)/(5);\ x_2=(-31+1)/(2\cdot10)=(-30)/(20)=-(3)/(2)\n\n10x^2+31x+24=10(x+(8)/(5))(x+(3)/(2))=5(x+(8)/(5))\cdot2(x+(3)/(2))\n\n=(5x+8)(2x+3)

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Someone help me with this question please

Answers

Create a real world equality problem, then solve:

Example Problem:

Ana sells at least  220  shirts:

Ana  Sold  85  shirts  in the first  3 weeks  of the month:

How many shirts must Ana sell in the last week of the month?



Solution:

Let   S   =    the number  of  shirts Ana sells in the last week of the month.

Total Number  of Shirts  for the month must be greater than 220:

We Write:     85     +     S      ≥     220

We   Solve the inequality by Subtracting  85  from both sides:   S    ≥    135

Therefore,  Ana must sell  135  or more shirts in the last week to go on the school trip.


Solve:   85     +     s      ≥       220    ========>     S     ≥    135

Let's solve your inequality step-by-step.

85     +     s      ≥       220

Step 1: Simplify both sides of the inequality.

s     +     85      ≥        220

Step 2: Subtract 85 from both sides.

s    +     85      −     85      ≥     220   −   85

s     ≥      135

Answer:

s     ≥     135




Check Problem:

85     +     s      ≥       220    ========>     S     ≥    135

We see that =====>   85     +     135     =    220

If Ana sells 135, or more shirts, The total number of shirts she sells that month will be  220  or more  ========>   Answer  Checked




Hope that helps!!!!!!!!!!!                                     : )

What is the greatest common factor of 9 and 11

Answers

ANSWER:

The  Greatest common factor (G.C.D) of 9 and 11 is 1

SOLUTION:

Greatest common factor (G.C.D) is the highest number which is factor for both the given numbers.

Here the numbers are 9 and 11.  

We can find the Greatest common factor (G.C.D) of 9 and 11 using prime factorization method.

In prime factorization method, each number is written as the multiple of their prime factors, after that, on comparison we can find the Greatest common factor (G.C.D).

The prime factorization of  9 = 3 * 3 * 1=1 * 3^(2)

The prime factorization of  11 = 11 * 1 = 1 * 11

We can observe that, greatest common factor for both 9 and 11 is 1.  

Hence Greatest common factor (G.C.D) of 9 and 11 is 1

The GCF of 9 and 11 is 1

Please HELP!!! I need the answer right away!Two lines intersect at a point. The vertical angles formed are supplementary. What is the measure of each of the angles? Explain.

Answers

if they are supplementary, it will equal 180 degrees together.

A recycle machine crushes 175 pounds of cans in 5 minutes. How many pounds of cans will the machine crush in 16 minutes?A) 560
B) 955
C) 1,925
D) 2,805

Answers

x = pounds of cans crushed

*use similar ratios

(175 lbs)/(5 min) = (x)/(16 min)

*find x by multiplying both sides by 16

x = (175 lbs)/(5 min)*(16 min) = 560 lbs

so . . . the answer is . . . A) 560

The answer will be A) 560 because when you divide 175 by 5 is with be 35 then multiply 35 by 16 that will give you 560. Your welcome :)

Keisha read twice as many books as Ben read. Subtracting 4 from the number of books Keisha read and dividing by 2 gives the number of books Sheldon read. Sheldon read 10 books. How many books did Ben read? Show step by step answer

Answers

Ben read 12 books

Firstly you know how any books Sheldon read so to find out number of books Keisha read you go backwards to what they have mentioned.

You times number of books Sheldon has read by 2 then add 4 ( because it says subtract 4 and divide by 2).

(10x2) +4=24


Now we know Keisha has read 24 books and she has read twice as many as Ben therefore number of books Ben has read:

24/2=12

Ben has read 12 books
So Sheldon read 10 so multiply that by 2 (because your doing the opposite of it to find answer) so 2x10=20,
plus 4 =24
So Keisha read 24 books which is twice as many as Ben so divide that by 2 to get the number of books Ben read.
So 24 divided by 2 = 12
Ben read 12 books

-What is the present value of a $800 annuity payment over six years if interest rates are 10 percent?-Recalculate the present value at 9 percent interest, and again, at 11 percent interest

Answers

Answer:

1417.2488 for the first one

9 percent - 1341.680089

11 percent - 1496.331642

Step-by-step explanation:

Attached you'll find my calculator work!

I don't know the exact formula so ill use my own variables to describe what i did!

A = P(1 + n)^t

A = End result / how much money is left

P = initial principle (initial starting amount)

n = interest rate in decimal / rate of growth

t = time

So essentially, your initial amount is 800, your interest is 0.11, 0.10, 0.09, and your time is 6. So you plug those values in and you can find your answers  

Final answer:

The present value of a $800 annuity payment over six years can be calculated using the formula PV = A * [(1 - (1 + r)^-n) / r]. At 10% interest, the present value is $3728.24. At 9% interest, the present value is $3843.17. At 11% interest, the present value is $3620.65.

Explanation:

To calculate the present value of an annuity payment, we can use the formula:



PV = A * [(1 - (1 + r)^-n) / r]



Where:




  • PV is the present value

  • A is the annuity payment

  • r is the interest rate per period

  • n is the number of periods



For an annuity payment of $800 over 6 years and an interest rate of 10%, the present value would be:



PV = 800 * [(1 - (1 + 0.10)^-6)/ 0.10]



Calculating this value gives us a present value of $3728.24.



To recalculate the present value at 9% interest, we substitute the new interest rate into the formula:



PV = 800 * [(1 - (1 + 0.09)^-6)/ 0.09]



This gives us a present value of $3843.17.



Similarly, to recalculate the present value at 11% interest, we use:



PV = 800 * [(1 - (1 + 0.11)^-6)/ 0.11]



This gives us a present value of $3620.65.

Learn more about Present value of annuity payment here:

brainly.com/question/16817816

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