1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga2289 [7]
3 years ago
9

Solve the equation

middle" class="latex-formula"> by factoring.
Mathematics
2 answers:
xeze [42]3 years ago
8 0

Answer:

x = 5i

x = -5i

Step-by-step explanation:

x² + 25 = 0

x² = 0 - 25

x² = -25

x = √-25

x = 5i

SVEN [57.7K]3 years ago
4 0

x = 5i   x =-5i

Step-by-step explanation:

x^2+25=0

Rewriting

x^2 - (-25)=0

Writing as the difference of squares

a^2 - b^2= (a-b) (a+b)

where a = x and b = (sqrt(-25)) =±5i

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

Using the zero product property

x-5i =0    x+5i =0

x = 5i   x =-5i

You might be interested in
Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn. He has sold $36 w
Zepler [3.9K]

Answer:

The inequality tha can be used to find how many more bags of popcorn Jeff still needs to sell today to make a profit is

x - 12 ≥ 40.

Step-by-step explanation:

Let us represent the number of bags of popcorn as p

Jeff sells popcorn for $3 per bag. To make a profit each day, he needs to sell at least $120 worth of popcorn.

We have the equation:

$3 × p ≥ $120

3p ≥ $120

p ≥ 120/3

p ≥ 40 bags

He must sell at least 40 bags to make a profit

He has sold $36 worth of popcorn today.

1 bag is $3

Hence, he has sold

$36/$3 = 12 bags of popcorn

Which inequality can be used to find Jeff still needs to sell today to make a profit?

This equality is given as:

x - 12 bags ≥ 40 bags

x - 12 ≥ 40

x ≥40 - 12

x ≥ 28 bags

She still need to sell 28 more bags of popcorn.

4 0
3 years ago
. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
nalin [4]

Answer: B

Explanation:  

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

6 0
2 years ago
How do i write 770,070 in word form
kotykmax [81]
Seven hundred seventy thousand and seventy
5 0
3 years ago
Read 2 more answers
An oven heating element turns on when the internal temperature falls to 20 degrees below the set temperature and turns off when
son4ous [18]

Answer:

The range of the oven is 385\leq T\leq 410

Step-by-step explanation:

Consider the provided information.

The internal temperature falls to 20 degrees below the set temperature and turns off when the temperature reaches 5 degrees above the set temperature.

You preheat the oven to 405 degrees before putting a cake in and baking it for an hour at 405.

The internal temperature falls to 20 degrees, therefore the lowest set can be:

405-20=385 degree.

The temperature reaches 5 degrees above the set temperature 405, therefore the upper set is: 405+5=410 degree.

Hence, the temperature will be lying between 385 degree and 410 degree.

This can be written as: 385\leq T\leq 410

Hence, the range of the oven is 385\leq T\leq 410

4 0
3 years ago
Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7​
Oksana_A [137]

Answer:

∠7=22°

Step-by-step explanation:

∠2 and ∠7 are supplementary angles, meaning they add to 90°.

∠2+∠7=90°

substitute ∠2

68°+∠7=90°

∠7=22°

7 0
3 years ago
Other questions:
  • A 10- ounce box of cereal cost $3. A 20-ounce box of the same cereal cost $5. A third box of the same cereal cost $8. • Use the
    5·1 answer
  • Justine received a bonus check from her work for $6000. She is going to deposit the money into her bank account that receives 5%
    14·1 answer
  • How to factor 25x^2+79x+64​
    9·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
    15·2 answers
  • In a class of 42 students, a medium slice of pizza with 8 slices is being shared if one slice is for one person what is the frac
    13·1 answer
  • Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • WILL MARK BRAINLIEST
    7·2 answers
  • Help please and thank you
    8·1 answer
  • Victonia counts this week's food donations at a pet shelter. There are 16 full cases of canned food. There are 4 cases of canned
    15·1 answer
  • 7. If the diagonals of a square measure 24
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!