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
Dima020 [189]
4 years ago
10

Josephine solved a quadratic equation. Her work is shown below.

Mathematics
1 answer:
mariarad [96]4 years ago
7 0

Answer:

Step-by-step explanation:

hello :

5(x + 7)² = 245

(x + 7)² = 49

x=0 is solution but you have other solution -14 because :(-14+7)² = (-7)² =49

here is an solution Step-by-step :

(x + 7)² = 49  means : (x + 7)² = 7²

(x + 7)² - 7²=0   use identity : a²-b² = (a-b)(a+b)

a=x+7  and b= 7

(x+7-7)(x+7+7) = 0

x(x+14)=0

x=0 or x+14=0

so : x=0 or x= -14

You might be interested in
Factor completely 5x2 − 5x − 100.
Rama09 [41]
First, factor out 5:
5 (x² -x -20)
We need two numbers that add to -1 and multiply to -20. -5 and 4 satisfy this.
5(x-5)(x+4)
4 0
3 years ago
Suppose that scores on the mathematics part of a test for eighth-grade students follow a Normal distribution with standard devia
riadik2000 [5.3K]

Answer:

We need an SRS of scores of at least 153.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large an SRS of scores must you choose?

This is at least n, in which n is found when M = 20, \sigma = 150. So

M = z*\frac{\sigma}{\sqrt{n}}

20 = 1.645*\frac{150}{\sqrt{n}}

20\sqrt{n} = 1.645*150

\sqrt{n} = \frac{1.645*150}{20}

\sqrt{n} = 12.3375

(\sqrt{n})^{2} = (12.3375)^{2}

n = 152.2

Rounding to the next whole number, 153

We need an SRS of scores of at least 153.

8 0
3 years ago
Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat fee and then $12 per hour for the re
Romashka [77]

Answer:

y = 12x + 10

Step-by-step explanation:

Edge, let me know if you got it right.

3 0
3 years ago
Read 2 more answers
An airline tracks the time an airplane is parked unloading and loading passengers. The line plot displays the amount of time a n
Sedaia [141]
I think it is C not sure or it’s A
3 0
3 years ago
(a^3+14a^2+33a-20)\(a+4)
Oksi-84 [34.3K]
Perhaps you meant   <span>(a^3+14a^2+33a-20)   /   (a+4), for division by (a+4).  

Do you know synthetic division?  If so, that'd be a great way to accomplish this division.  Assume that (a+4) is a factor of </span>a^3+14a^2+33a-20; then assume that -4 is the corresponding root of a^3+14a^2+33a-20.

Perform synth. div.  If there is no remainder, then you'll know that (a+4) is a factor and will also have the quoitient.

-4  /   1   14   33   -20
     ___    -4_-40    28___________
          1   10   -7       8

Here the remainder is not zero; it's 8.  However, we now know that the quotient is 1a^2 + 10a - 7 with a remainder of 8.
8 0
3 years ago
Other questions:
  • What number is in between 10 and 16?
    8·2 answers
  • a strawberry has a mass of 18 grams.if there are 10 strawberries,what is the total mass of all the strawberries
    14·2 answers
  • Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.What fraction of the fish in Gary's tan
    7·2 answers
  • Karen deposited $25 in the bank on Monday, $50 on Wednesday and $15 on Friday. On Saturday, she took out $40. Karen's original b
    6·1 answer
  • How does waves and tides generate electrical energy ?
    13·1 answer
  • Jane has 2/3 of a lemon pie left over after Easter.she decided to give 1/2 of it to her sister.How much of the whole lemon pie w
    9·1 answer
  • A hotel swimming pool measures 20 m by 9 m. The hotel manager wants to put a 2 m wide deck
    10·1 answer
  • What is the solution the the system of equations graphed below y=-2x-4 y=x+2
    10·2 answers
  • Nhich equation represents a line that passes through (-9, -3) and has a slope of -6?
    13·1 answer
  • Suppose that the length of a certain rectangle is two centimeters more than three times its width. If the area of the rectangle
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!