Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x^2 + 4x = - 5 has.
A. one real solution
B. two complex (nonreal) solutions
C. no real or complex solutions
D. two real solutions
Pls help!
Answer:
C.
Step-by-step explanation:
The quadratic equation has two complex (nonreal) solutions option (B) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
3x² + 4x = - 5
or
3x² + 4x + 5 = 0
D = b² - 4ac
b = 4, a = 3, c = 5
D = (4)² - 4(3)(5)
D = 16 - 60
D= -44
D < 0
Two complexes (nonreal) solutions
Thus, the quadratic equation has two complexes (nonreal) solutions option (B) is correct.
Learn more about quadratic equations here:
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Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answer:
its perpendicular
Step-by-step explanation:
Question 10 of 20 :
Select the best answer for the question.
10. If five times a number plus two is 17, what is the number?
A. 2
B. 5
ООО
C.3
D. 7
Mark for review (Will be highlighted on the review page)
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Answer:
C. 3
Step-by-step explanation:
3 x 5 = 15, 15 + 2 = 17 :)
Find vux
What is vux??????
Vux means line will cross the y axis . Horizontal lines have 0 slope. What does the y in hoy vux mean? It means the line will cross the y axis.
Find the slope of x=(5,6), y=(0,2)
Answer:
4/5
Step-by-step explanation:
the equation of slope is y1-y2/ x1-x2
you get 4/5
2/3 as a decimal and also percent
Answer:
0.6 as a decimal and 60 percent
Ann and Bob split some money in the ratio 4:2. Ann got £4 more than Bob. How much did Bob get?
Answer:
$4
Step-by-step explanation:
A 4:2 ratio is the same as a 2:1 ratio, so Ann receives double what Bob gets.
If Ann gets 8 dollars and Bob gets 4, then Ann would have $4 more than Bob, and it would follow the appropriate ratio.
You move down 6 units. You end at (-5, -5). Where did you start?
Answer:
(-5, 1)
Step-by-step explanation:
(x, y)
x moves left/right
y moves up/down
x = -5
y = -5 + 6 = 1
(-5, 1)
87, -9, -14, 34, 147, -107, 16 in least to greatest
Answer:
-107, -14, -9, 16, 34, 87, 147
Answer:
−107,−14,−9,16,34,87,147
I desperately need help
Answ you need to find the slope using the coordinates. Then, you need to write the equation in Point-slope form and Slope-Intercept. (If ur teacher wants Standard Form do that too
Step-by-step explanation:
CLOTHING A online retailer is running a special on jeans. All pairs of jeans are $39. The function f(x) = 39x models the total cost of buying x pairs of jeans. The retailer also charges $6 flat rate shipping fee. a. Write a function g(x) that represents the cost of purchasing jeans and having them shipped. b. Find the cost of purchasing 3 pairs of jeans before and after shipping
Answer:
a. g(x) = 39x + 6
b. The price before shipping is $117 and the price after shipping is $123
Step-by-step explanation:
To represent the cost of purchasing jeans and shipping them, add 6 to the function, since it is a flat rate.
So, the function will be g(x) = 39x + 6.
Then, use this function to find the cost of 3 pairs of jeans after shipping:
g(x) = 39x + 6
g(3) = 39(3) + 6
g(3) = 117 + 6
= $123
Then, use the original function, f(x) = 39x, to find the price before shipping:
f(x) = 39x
f(3) = 39(3)
= $117
So, the price before shipping is $117 and the price after shipping is $123
GR has coordinates g (2, -2) and R (3,8) and it is the result of the
dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM. Please help
Answer:
(- 2x , - 2y)
Step-by-step explanation:
A(x, y) ----> A' (kx, ky)
~~~~~~~~
H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2
M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)
k = - 2
Thus, the rule of dilation centered in origin is (- 2x , - 2y)
1/4(x-2)+4=12 help please
Answer:
X = 34
Step-by-step explanation:
Henry loves to read. He reads 90 pages in one hour. How many pages does he read in 5 hours
Answer:
450
Step-by-step explanation: 90x 5 = 450 hoped i helped
Which lines represents a proportional relationship? HELP PLEASE
Answer:
C. Y3
Step-by-step explanation:
It goes straight through the origin (0,0)
Find the smallest number which is exactly divisible
by 15 20 and 30
Answer:
60
Step-by-step explanation:
The smallest number that is divisible by 15, 20 , and 30, must have the needed factors of each of these numbers:
15 = 3 * 5
20 = 2 * 2 * 5
30 = 2 * 3 * 5
Then the minimum common factor must have the following factors to satisfy the divisibility of all of the numbers above:
2 * 2 * 3 * 5 = 60
PLS HELPPPPPPP CHECK THE PICTURE ABOVE PLS :((
Answer:
(6+7)
2^4
2^2
Step-by-step explanation:
Think of the order of operations or PEMDAS: Parentheses, exponents and roots, multiplication, addition, and subtraction. When solving an equation you use the order of PEMDAS.
Point A is located on the coordinate planet (3,-6) Point B is directly across the x-axis from point A and is the same distance from the x-axis as point A
What are the coordinates of point B?
Answer:
(3,6)
Step-by-step explanation: it is a reflection across the x-axis which is positive (3,6)
What is the measure of PRQ?
Answer:
the answer is 172
Step-by-step explanation:
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[tex]PRQ = \frac{PQ +TS}{2} \\ [/tex]
[tex]PRQ = \frac{102 + 70}{2} \\ [/tex]
[tex]PRQ = \frac{172}{2} \\ [/tex]
[tex]PRQ = 86°[/tex]
Thus the correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Determine the Measure of angle X
Answer:
[tex]x=325[/tex]°
Step-by-step explanation:
[tex]360-35=325[/tex]
The answer above mine is correct... ^^;
Sonya just turned 21 years old and will soon begin her junior year of college in
the fall. Money that she is saving for which of these purposes is not good to
put in a savings bond?
A. A down payment on a house in 10 years
B. This month's electric bill
C. Her retirement
D. College tuition for her future children
SUBMIT
Answer:
this months electric bill
Step-by-step explanation:
Eric wants to attend a public four-year university. He estimates that the average cost of one year at this university is $19,500. He can save at most $325 a month. Without factoring in interest, grants, or scholarships, what is the minimum number of months he needs to save in order to be able to pay for one year of college?
60
62
65
67
Answer:
A 60
Step-by-step explanation:
Enter the decimal equivalent of 9/12
Answer:
Hey! so its simple to find the decimal you need to divide so 12/9 is 1.33
Step-by-step explanation:
Hoped I helped please put me on brainliest oh and have a great day! ^-^
A sofa regularly sells for $710. The sale price is $553.80. Find the percent decrease of the sale price from the regular price.
Given:
A sofa regularly sells for $710.
The sale price is $553.80.
To find:
The percent decrease of the sale price from the regular price.
Solution:
We have,
[tex]Decrease\%=\dfrac{\text{Regular price - Sale price}}{\text{Regular price}}\times 100[/tex]
[tex]Decrease\%=\dfrac{710-553.80}{710}\times 100[/tex]
[tex]Decrease\%=\dfrac{156.2}{710}\times 100[/tex]
[tex]Decrease\%=0.22 \times 100[/tex]
[tex]Decrease\%=22\%[/tex]
Therefore, the percent decrease of the sale price from the regular price is 22%.
Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?
Op-7 = 13-3p
O 2p-7 = 13
O 3p-7 = 13-
4p - 7 = 13
Answer:
4p - 7
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
3p - 7 + p = 13
Step 2: Solve for p
Combine like terms: 4p - 7 = 13Add 7 to both sides: 4p = 20Divide 4 on both sides: p = 5Solve the quadratic equation and give both solutions.
14x^2 − 29x − 15 = 0
Answer:
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}[/tex] so [tex]x=\frac{5}{2}[/tex] [tex]x=-\frac{3}{7}[/tex]
In one 24-hour day there are 86,400 seconds. What is this number written in scientific notation?
The answer would be
8.64 x 10^4
a recent survey showed that ⅖ of students have hearing problems. In a school of 450 students, how many would you expect to have hearing problems?
Step-by-step explanation:
250 i think sorry if im wrong solution it said 2/5 of students have hearing problems. so since there is 450 students and it said 2/5 that means 2/5 will be 250 hope if i could help.
If start fraction 1 over 3 end fraction is equivalent to 33start fraction 1 over 3 end fraction%, what percent is equivalent to two-thirds? A. 33two-thirds% B. 150% C. 66two-thirds% D. 65%
Answer:
The answer is C 66%
Step-by-step explanation:
317
What is the answer to 317 x 54.
17.118
Step-by-step explanation:
hope it helps! :)