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kkurt [141]
1 year ago
15

Simplify expression(5x^2-2x+3)+(-6x^2+4x-7)

Mathematics
1 answer:
Natali5045456 [20]1 year ago
3 0

Given the expression:

\mleft(5x^2-2x+3\mright)+\mleft(-6x^2+4x-7\mright)

To simplify the expression, we will combine the like terms

so,

\begin{gathered} \mleft(5x^2-2x+3\mright)+\mleft(-6x^2+4x-7\mright) \\ =(5x^2-6x^2)+(-2x+4x)+(3-7) \\  \\ =-x^2+2x-4 \end{gathered}

So, the answer will be:

-x^2+2x-4

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A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36
stepan [7]

Answer:

13a.\  The \ probability\ of \ scoring\ a\  goal\  in\  a\  game\  is\  0.36\\\\b. 3 \ games

14.

a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

C_g=0.15\times 600\\\\=\£90

Hence, the 15%  deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

100\%=\frac{540}{0.1}\\\\=\£5400

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

=540\times 10\\\\=\£5400

We subtract the discount amount for the per-discount price:

Cost=Total -discount\\\\=5400-540\\\\=\£4860

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)

Hence, this is impossible since 0.10<0.35

7 0
3 years ago
Could someone pls tell me the answer Thankss
Anni [7]
I think 10,000 not sure though
7 0
3 years ago
The measure of _A is 18° greater than the measure of _B. The two angles are complementary. Find the
kozerog [31]

Answer:

angle A=54 degree

angle B =36 degree

Step-by-step explanation:

let angle B be x

angle A=x+18

since they are complementary angles sum of these two angles will be 90 degree

x+x+18=90

2x=90-18

2x=72

x=72/2

x=36 degree

substitute the value of x to find angle A and angle B

for angle A

x+18

36+18

54 degree

for angle B

angle B =x

=36 degree

4 0
3 years ago
You bake a batch of muffins. You freeze 6 muffins and share the rest equally among yourself and 2 friends. Write an
dimulka [17.4K]
This makes sense to me: m=(y-6)/3

m is the number of muffins each friend gets, y is the original quantity of muffins, -6 is = to the number of muffins you freeze, and the /3 is to split the remaining (unfrozen) muffins equally.
4 0
3 years ago
Read 2 more answers
How Do you evaluate -11
vesna_86 [32]
You find its absolute value which is 11

7 0
3 years ago
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