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
notsponge [240]
3 years ago
13

. Use the quadratic formula to solve each quadratic real equation. Round

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

A. No real solution

B. 5 and -1.5

C. 5.5

Step-by-step explanation:

The quadratic formula is:

\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}, with a being the x² term, b being the x term, and c being the constant.

Let's solve for a.

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}

We can't take the square root of a negative number, so A has no real solution.

Let's do B now.

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}

\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5

So B has two solutions of 5 and -1.5.

Now to C!

\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}

\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}

\frac{44}{8} = 5.5

So c has one solution: 5.5

Hope this helped (and I'm sorry I'm late!)

You might be interested in
Find two matrices A and B such that 2A-3B= [5 0
amm1812

The easy answer: If, say, B is the zero matrix, i.e.

B=\begin{bmatrix}0&0\\0&0\end{bmatrix}

then

2A=\begin{bmatrix}5&0\\-1&2\end{bmatrix}\implies A=\begin{bmatrix}\dfrac52&0\\\\-\dfrac12&1\end{bmatrix}

3 0
3 years ago
Help with #7 and #8?
arsen [322]

Answer:

M(6,5) and G(2,9)

Step-by-step explanation:

m = ( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} )

B(3,6)

C(9,4)

m = [(3+9)/2 , (6+4)/2]

= (6,5)

M(5,9)

H(8,9)

G(x,y)

[(x+8)/2 , (y+9)/2]=(5,9)

(x+8)/2 = 5

x+8 = 10

x = 2

(y+9)/2 = 9

y+9 = 18

y = 9

G(2,9)

(Correct me if i am wrong)

5 0
3 years ago
Kahleela starts the engine on her small private airplane. The engine drives a propeller with a radius of 8.5 feet and its center
algol13

Answer:

a=21.1

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

 h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

__

Or, you can use the correct equation, or just your knowledge of revolutions:

 h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.

4 0
3 years ago
Read 2 more answers
The ratio of Country albums to Jazz albums in a music collection is 2:3. If the music collection has 45 albums, how many Country
kap26 [50]
{country albums}:{jazz albums}=2:3
3{country albums} = 2{jazz albums}

{country albums} + {jazz albums} = 45
{jazz albums} = 45 - {country albums}

3{country albums} = 2(45 - {country albums})
3{country albums} = 90 - 2{country albums}
5{country albums} = 90
{country albums} = 18

I got this answer from the link: brainly.com/question/2165977?entry=7190 I give them credit for this, as they were the original. For future reference, you can search your question at the top, and if someone has already answered that question and it is the same as yours, than you can use that, and thank them, etc.  I hope this helps!<span />
7 0
3 years ago
5+5x2= i need help i will give you brainly and no calculator
Solnce55 [7]

Answer:

15

Step-by-step explanation:

Order of operations,

5x2=10

10+5=15

5 0
3 years ago
Read 2 more answers
Other questions:
  • the expression 1000(1.1)^t represents the value of a $1000 investment that earns 10% interest per year, compounded annually for
    14·1 answer
  • Grandma put 1⁄6 teaspoon of pepper into the soup. After tasting the soup, she added 1⁄8 teaspoon of pepper. How much pepper is i
    12·1 answer
  • Simplify the expression (3x^4/2y^3)^2
    5·1 answer
  • First to answer will be the brainliest I need the answer ASAP
    11·1 answer
  • Help me solve the equation please. Thank you so much
    13·1 answer
  • A rectangular picture is 7 inches long and 5 inches wide. What is the area of the picture? A. 35 in² B. 35 in. C. 24 in. D. 24 i
    9·2 answers
  • on Monday the number of customers in the store rounded to the nearest hundred was 400 what is the greatest number of customers t
    6·2 answers
  • Angelica is five years less than double Jahiem’s age. Jahiem is 14 years old. How many years old is Angelica?
    13·1 answer
  • Which of the following will result in a rational answer?
    7·1 answer
  • Alma is going to Europe and wants to exchange $1,200 into euros. If each dollar is 0.75 euros, how many euros will alma get?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!