The sum of a number and twice is square is 36.find the numbers?

Answers

Answer 1

Answer: $x+2x^2=36\n2x^2+x-36=0\n2x^2+9x-8x-36=0\n x(2x+9)-4(2x+9)=0\n(x-4)(2x+9)=0\nx=4 \vee x=-(9)/(2)$

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Jordan takes 50% of the cherries from a bowl. then Mei takes 50%of the remaining cherries. Finally Greg takes 50 %of the remaining cherries. There are 3 cherries left. How many cherries were in the bowl before Jordan arrived

Answers

Answer:

Step-by-step explanation:

Let total cherries in a bowl=x

Jordan takes cherries=50% of x= $(50)/(100)x$

Remaining cherries= $x-(50)/(100)x=(50)/(100)x=(x)/(2)$

Mei takes cherries=50% of $(50x)/(100)=(x)/(4)$

Now, remaining cherries= $(x)/(2)-(x)/(4)=(x)/(4)$

Greg takes cherries=50% of $(x)/(4)=(x)/(8)$

Now, remaining cherries= $(x)/(4)-(x)/(8)=(x)/(8)$

Now,remaining cherries in a bowl=3

We have to find total cherries in a bowl before Jordan arrived.

According to question

$(x)/(8)=3$

$x=3* 8=24$

Hence, total cherries in a bowl=24

So in the final smallest bowl when half are removed there are 3 so the total amount was double 3 which is 6 before greg removed some.
Mei had removed half of the cherries which left 6 cherries so the total amount before Mei removed half was 12.
Jordan took half of the cherries which left 12. If you follow the same logic you double 12 which makes....
Good luck, hope this helped you understand the question more, feel free to comment and ask for help :)

5(x+4)<75
Please help me

Answers

Answer:

x∈(-∞; 11)

if x∈N=> x={0;1;2;3;.....;10}

Step-by-step explanation:

5(x+4)<75 /:5

x+4<15 /-4

x<11

x∈(-∞; 11)

if x∈N=> x={0;1;2;3;.....;10}

If triangle MNO is congruent to triangle PQR, which statement is not true?segment MN ≅ segment QP
^ would this be the untrue statement?

∠N ≅ ∠Q

segment NO ≅ segment QR

∠O ≅ ∠R

Answers

Answer: segment MN ≅ segment QP

Step-by-step explanation:

We know that if two triangles are congruent then their corresponding sides and angles are congruent.

Therefore, If triangle MNO is congruent to triangle PQR.

Then, segment MN ≅ segment PQ not segment QP [by CPCTC]

because PQ is the corresponding to side MN.

∠N ≅ ∠Q [by CPCTC]

segment NO ≅ segment QR [by CPCTC]

∠O ≅ ∠R [by CPCTC]

Therefore, the untrue statement will be:

segment MN ≅ segment QP

the first one is the untrue statement

Quick!! write an equation in slope intercept form using points (-3,0) (3,-4) !

Answers

Answer:

i dunno but the slope is -4/6

Step-by-step explanation:

y=-2/3x -2 this is the slips intercept form
You do y1-y2/x2-x1 and then find the rest using y=mx+b

A company offered one half of its employees a bonus if the production of cookies increased by 15%. The other half of the employees was not offered a bonus. As the end of the month, production in the group that did not get the bonus offer increased by a mean of 20 and production in the bonus group increased by a mean of 10. What is the correct order of steps to determine if the results are significant? A. Calculate the probability of a difference of 10. B. Calculate the difference of the means. C. Randomly separate the employees' individual results into two groups. D. Calculate the mean of each group. E. Run the experiment many times.

Answers

Answer:

Company revealed that, One half of employees will get bonus, if the production of cookies increased by 15 %.

And , other half of employees will not get the bonus.

And,

The group who didn't get the bonus, their production increased by mean of 20.

And, the production in the bonus group increased by mean of 10 only.

To check whether results are significant or not,we will follow the following steps

1. C. Randomly separate the employees' individual results into two groups.

2. D.Calculate the mean of each group.

3. B. Calculate the difference of the means

4. E. Run the experiment many times.

5. A .Calculate the probability of a difference of 10

The answer for this question is C, D, B, E, A. I hope that helps!

What is the domain of f(x) 5^x-7?

Answers

domain is the set of number you can use for x we can use any number for x the domain is all real numbers answer is last one

Answer:

the domain is pretty much always all real #s.

Step-by-step explanation:

the answers D tho..

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What times what equals 11, but if you add the numbers together you get 12.

Need a little help on this :)