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
Oksana_A [137]
2 years ago
11

Can someone help me with these two problems and show work please !!

Mathematics
2 answers:
Dmitry [639]2 years ago
8 0

Answer:

13. Two real solutions.

14. No real solutions.

Step-by-step explanation:

<u>Given quadratic equations:</u>

13. x^2+7x+10=0

14. 4x^2-3x+4=0

{\large \textsf{Quadratic Formula: }} x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\ \Bigg{\|}\ \textsf{when }ax^2+bx+c=0

What is the discriminant?

The discriminant (Δ) is b² - 4ac, which is under the square root in the quadratic formula. It is used to determine the number of real solutions (roots) of a quadratic:

  • When b² - 4ac > 0, the quadratic has two real solutions.
  • When b² - 4ac = 0, the quadratic has one real solution.
  • When b² - 4ac < 0, the quadratic has no real (complex) solutions.

13. x² + 7x + 10 = 0

\implies a=\textsf{1},b=\textsf{7},c=\textsf{10}

<u>Find the discriminant value.</u>

\implies \Delta = b^2 - 4ac

\implies \Delta=(7)^2 - 4(1)(10)

\implies \Delta=49 - 40

\implies \Delta=9

As 9 > 0, this quadratic has two real solutions.

14. 4x² - 3x + 4 = 0

\implies a=\textsf{4},b=\textsf{-3},c=\textsf{4}

<u>Find the discriminant value.</u>

\implies \Delta = b^2 - 4ac

\implies \Delta = (-3)^2 - 4(4)(4)

\implies \Delta = 9 - 64

\implies \Delta = -55

As -55 < 0, this quadratic has no real solutions.

Learn more about quadratic equations here:

brainly.com/question/28063094

brainly.com/question/27638369

irina1246 [14]2 years ago
5 0
Work is attached to this post

You might be interested in
For an angle θ with the point (15, −8) on its terminating side, what is the value of cosine?
malfutka [58]

Answer:

The value of cosθ is \frac{15}{17}

Step-by-step explanation:

It is given that  an angle θ with the point (15, −8) on its terminating side.

Here x=adjacent side=15 units and y=opposite side =-8 units,

Using pythagoras theorem,

\text{hypotenuse}^2=\text{base}^2+\text{opposite side}^2

\text{hypotenuse}^2=(15)^2+(-8)^2

\text{hypotenuse}^2=225+64=289

\text{hypotenuse}^2=17

Cosine is defined as

\cos \theta=\frac{base}{hypotenuse}

\cos \theta=\frac{15}{17}

Therefore the value of cosθ is \frac{15}{17}.

4 0
3 years ago
Read 2 more answers
Students in 7th and 8th grade were asked the types of movies they prefer. The results of the survey are shown in the two-way tab
Andreyy89

A table is a arrangement of the data or the information. For the given table statement second, third and fifth are the correct statements.

Given information-

A four by four table in given for the survey of the 7th and 8th group students for the movie preference.

The first column has no label with entries drama, action, comedy, total.

The second column is labeled 7th with entries 11%, 25%, 14%, 50%.

The third column is labeled 8th with entries 15%, 19%, 16%, 50%.

The fourth column is labeled total with entries 26%, 44%, 30%, 100%.

<h3>Table </h3>

A table is a arrangement of the data or the information

Now look at the statement.

  • 1) More 7th graders were surveyed than 8th graders- As both 7th grade and the 8th grade student surveyed are 50 percent. Thus the statement 1 is incorrect.
  • 2) The marginal relative frequency for action movies is 44%-Total 7th grade students like the action movies are 25 percent. Total 8th grade students like the action movies are 19 percent. The sum of both is 44 percent. Thus this is correct statement.
  • 3) The joint relative frequency for 8th graders who like comedy movies is 16%- From the table it can be said that the frequency of the 8th grade students likes the comedy movie is 16 percent. Thus this is a correct statement.
  • 4) Most students prefer drama movies- The highest number of the movie preferred by the students is action movie. Thus this is an incorrect statement.
  • 5) Half of the 7th graders prefer action movies- The 50 percent of the 7th grade is surveyed in which 25 percent like the action movie.25 is the half of the 50. Thus it is a correct statement.

Hence for the given table statement second, third and fifth are the correct statements.

Learn more about the data representation in table here;

brainly.com/question/7727331

4 0
2 years ago
Steve and Marcia bought soda, chips, and gum. • They bought twice as many chips as pieces of gum. • They bought 3 fewer sodas th
serg [7]

Answer:

ok so S=soda C=chips and G=gum

Step-by-step explanation:

From the information,

s+3=c

(1/2)c=g

from this P=s+c+g

P=s+(s+3)+((s+3)/2)

P=5/2s+9/2

7 0
3 years ago
between 1993 and 1996 there were 6545 injured injured horse horses during races find the ratio of each and every per year​
wel

Answer:

2,181 2/3

Step-by-step explanation:

4 0
3 years ago
Add.<br>(3x - 4) + (4x-6)​
liq [111]

Step-by-step explanation:

(3x-4)+(4x-6)=

=3x<u>-4</u>+4x<u>-6</u>=

<h3>=7x<u>-10</u></h3>
5 0
3 years ago
Read 2 more answers
Other questions:
  • URGENT HELP 5 STAR RATING + BRAINLY!
    15·1 answer
  • If it it is 8:51 what time would it be and a half and hour
    12·2 answers
  • On the blueprint for Joey's new house,his floor measures 9 square feet.The actual house will have an area of 1296 square feet.Wh
    6·1 answer
  • Find the missing term in the following proportion: 2/3 = a/9 A)   3 B)   4 C)   6 D)   9
    11·1 answer
  • Someone please help me I’ll give out brainliest please dont answer if you don’t know
    10·1 answer
  • Beth bought two pairs of earrings for $12.00 each. She also had to pay 6% sales tax. What was her total bill?$12.72$19.20$25.44$
    9·2 answers
  • Which is the graph of Y = log(-x)?
    14·1 answer
  • This circle graph shows the results of a survey that asked 80 people which method of transportation they use to get to the city
    14·2 answers
  • Last month the Zimmer family had 20 chickens. This month they have 25. What is the percent increase from last month to this mont
    6·1 answer
  • Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on froze
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!