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
GREYUIT [131]
3 years ago
5

A quadratic equation is shown below: 2x2 − 10x − 8 = 0 Part A: Describe the solution(s) to the equation by just determining the

radicand. Show your work. (5 points) Part B: Solve 4x2 − 12x + 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (5 points)
Mathematics
1 answer:
dangina [55]3 years ago
6 0
PART A:

The given quadratic equation is 2x²-10x-8=0

The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c

From the given equation, we have
a = 2
b = -10
c = -8

Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164

The radicand is >0 hence the quadratic equation has two distinct roots

PART B:

4x²-12x+5 = 0

We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12

The pair of number is -2 and -10
Rewriting the equation 
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0

2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
You might be interested in
Determine the relationship between the two given lines y=3 and y=2
nekit [7.7K]
They’re parallel to each other
3 0
2 years ago
Fully explain the solution set to the equation below.<br> 1x = -1
Lady bird [3.3K]

Answer:

The answer for x should equal: -1.

Step-by-step explanation:

To find x, we would divide, our final value, by 1 to get x. In other words, you would divide: -1 ÷ 1 to get -1 as our unknown number.

6 0
3 years ago
The ______ of the degrees of each factor is
nasty-shy [4]

Answer:

  • B. Sum

Step-by-step explanation:

When finding the volume, we multiplied the 3 dimensions with degree of 1, 1 and 3 and got the binominal of degree 5. We summed up the degrees: 1 + 1 + 3 = 5.

  • The <u>SUM</u> of the degrees of each factor is  the degree of the product.
8 0
3 years ago
Read 2 more answers
According to a poll, 80% of California adults (403 out of 506 surveyed) feel that education is one of the top issues facing Cali
fiasKO [112]

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

6 0
3 years ago
How do I solve 4/9+9/2 and write my answer as a mixed number?
jenyasd209 [6]

9 has factors of 3*3.

2 is prime, so no factors.

from those two denominators, we can get the LCD of hmmm simply their product, namely 18.

\bf \cfrac{4}{9}+\cfrac{9}{2}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)4+(9)9}{18}}\implies \cfrac{8+81}{18}\implies \cfrac{89}{18}\implies 4\frac{17}{18}

now, recall that, to get the mixed fraction, we divide 89 ÷ 18, the quotient goes up front, the "4", and the remainder is the one atop, the "17".

8 0
3 years ago
Other questions:
  • Elizabeth mowed 6 lawns in 9 hours. What was her rate of mowing in hours per lawn? Express your answer in simplest form.​
    13·2 answers
  • Someone please answer 28 points please answer with the right facts and the explanation thank you
    7·1 answer
  • Evaluate for c = -3 <br><br> 9 - c
    14·1 answer
  • Given the matrixes A and B shown below ,to solve for X in the equation -A+2x=3B A=[-3 12 -3 -8 ] b=[-11 0 -5 -2 ]
    9·1 answer
  • Write the claim mathematically and identify Upper H 0 and Upper H Subscript a. ​(b) Find the critical​ value(s) and identify the
    14·1 answer
  • The number to which a base is raised to is called the____. This tells you how many times to multiply the base together
    8·1 answer
  • 8. Solve for x: x/7 =11
    12·2 answers
  • Find tan C will mark branylis​
    15·2 answers
  • A pediatrician plotted the heights and weights of 9 random kids that came through her office. Which coordinate point represents
    15·1 answer
  • Compare 37,007 and 30,707. Which<br> is greater?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!