Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]
Step-by-step explanation:
Given the equation
[tex]x^2\:-3x\:-\:5\:=\:0[/tex]
solving with the quadratic formula
[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5[/tex]
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}[/tex]
separating the solutions
[tex]x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}[/tex]
solving
[tex]x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}[/tex]
[tex]=\frac{3+\sqrt{29}}{2\cdot \:1}[/tex]
[tex]=\frac{3+\sqrt{29}}{2}[/tex]
also solving
[tex]\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}[/tex]
[tex]=\frac{3-\sqrt{29}}{2\cdot \:1}[/tex]
[tex]=\frac{3-\sqrt{29}}{2}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]
Pls help me I’m really dumb
The temperature right now is -3°F, and the forecasted high temperature is 2 °F. How many degrees will it have to warm to reach 2°F? 6.NS.5
Answer:
5
Step-by-step explanation:
Subtract the high temp from the low temp2 - ( -3) = 2 + 3 = 5can someone please help try the best that you can
2 ÷ 1/2 what is the answer
Answer:
2 ÷ 1/2 is 4
Step-by-step explanation:
Evaluate.
8−2⋅3+7
PLZ PLZ HURRY
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define expression
8 - 2 · 3 + 7
Step 2: Evaluate
Multiply: 8 - 6 + 7Subtract: 2 + 7Add: 9If x6 as 3:9, then x is equal to?
Answer:
2,33
Step-by-step explanation:
because if you multiply 3 + 9 you,ve got 27 besides 6
The price of two dozen candy bars is $4.80. Bridget wants to buy 5 candy bars. what will she have to pay?
Answer:
24
Step-by-step explanation:
4.8×5 you have 5 candy bars that are $4.80 each so you multiply that by 5.
are greater than 0 and located to the right of 0 on a number
line.
Integers
O Positive numbers
Negative Numbers
Opposites
Question 2
10 pts
Every whole number, fraction, and decimal has an opposite.
True
False
Answer:
1o
2true I helped it help
- A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of
the picture frame?
O 21 inches
O 15 inches
8 inches
06 inches
Help???
Anyone?
Thank you
25% of $35 is 8.75, so the price would be $26.25. plus tax, the final price would be $27.825 or $27.83. if that doesn't work, try $27.82
(i was wrong before, this should be right now)
hope this helps!! :)
2/3 times 8
Please answer quick
Answer:
16/3 or 5 1/3
Step-by-step explanation:
Answer:
2/3x8= 2/3x1/8= 6/8 if u simplifie it, it would be 3/4.
=3/4
34.48 17.065 to the nearest tenth sorry just trying to get work done but yea if u help thx!!
Answer:
34.5
17.1
Step-by-step explanation:
Cual es el resultado de la división 1771.2 entre 48
Responder: 36.9
explicación paso a paso:
1771.2 / 48 = 36.9
For the cube shown, AD and HG are?
Parrallel lines
Oblique lines
Skew lines
Perpendicular lines
Answer:
Parallel lines
Step-by-step explanation:
g(x) = x2 + 5; 9(-6) how to evaluate the function for the given value
Answer:
9×−6
Thats the answer put that Promise can I get brainliest just click on my profile then go back and youĺl see a crown and click it on my name
Step-by-step explanation:
Please hurry please
Answer:
a = -10
Step-by-step explanation:
solving inequation : a [tex]\leq[/tex] -6.5 so a = -10 complies
Answer:
a=-10
Step-by-step explanation:
[tex]2a-7\leq -20\\2a\leq -13\\a\leq -6.5\\[/tex]
The only solution that fits this is a=-10
how do you identify rational expression?
Answer:
Step-by-step explanation:
Determine the domain. The excluded values are those values for the variable that result in the expression having a denominator of 0.
Factor the numerator and denominator.
Find common factors for the numerator and denominator and simplify.
From Monday - Tuesday, Adam earns $122 dollars. If he continues to earn the same amount for the rest of the week, how much will he have at the end?
Answer:
$437
Step-by-step explanation:
There are 7 days in a week.
Let's stop at the last even number, the 6th day.
Tuesday is four days away from Sunday, so multiply 122 by 3.
[tex]\mathrm{122}[/tex] × [tex]3[/tex] = [tex]366[/tex]
Finally, we are at the 7th day. There is no 8th day in a week, so divide 122 by 2.
[tex]122[/tex] ÷ [tex]2[/tex] [tex]=61[/tex]
Now, let's add 61 to 366. We get $437, and that is our answer.
Hope this helps!
Which graph represents the function f(x) = |x + 3|?
Answer:
Answer is B
Step-by-step explanation:
If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
Answer:
answer is b
Step-by-step explanation:
because i got it right on E D G E
How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?
Answer:
The investment required is: $5687
Step-by-step explanation:
Future Amount A= $7000
Rate r = 6% =0.06
Time t = 4
Compounded Weekly = n= 52
We need to find Principal Amount P
The formula used is: [tex]A=P(1+\frac{r}{n})^{n*t}[/tex]
Putting values and finding P
[tex]A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687[/tex]
So, The investment required is: $5687
SOMEONE PLEASE HELP QUICK ITS TIMED
Answer:
true
Step-by-step explanation:
Answer:
true is the answer yyyt
What is the range of the function y=e4x?
Oy < 0
Oy>
O y<4
Oy>4
9514 1404 393
Answer:
y > 0
Step-by-step explanation:
The range of the function ...
y = e^(4x)
is the same as the range of any exponential function:
y > 0
The function can take on any positive value, but will never be 0 or negative. It has a horizontal asymptote of y=0.
The range of the given function is y > 0.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
y = e⁴ˣ
This is an exponential function.
The range of any exponential function is all the real numbers which are greater than 0.
So here also, the range is all the real numbers which are greater than 0.
So range is y > 0.
Hence the correct option is B.
Learn more about Exponential Functions here :
https://brainly.com/question/28596571
#SPJ7
The time taken to build a house is inversely proportional to the number of builders.
If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days?
Answer:
30 builders
Step-by-step explanation:
80÷5=16
6x5=30
Ill give 15 points Just answer it pleaseeeeeee
Answer:
Miling saves more because he saves 15 dollars a week while Daniel saves 10 dollars a week 10 dollars is less than 15 dollars
Does somebody know the answer to this question I’m lost
Answer:
81b + 4 - 14/3b
Step-by-step explanation:
divide by 3b, u can leave the fraction in there
Which model represents 1/3
Help!!! Please help me out
Answer:man I’m sry
Step-by-step explanation:
The lowest temperature ever recorded on Earth was
-89.2°C in Antarctica. The highest temperature ever
recorded was 56.7°C in California. What is the
difference between the highest and lowest recorded
temperatures?
PLEASE ANSWERRRRR
Answer:
Highest temperature=56.7°C
Lowest temperature= -89.2°C
Difference between the temperatures = 89.2+56.7=145.9
(x^2-6) (x+6) + 25
plz someone answer correctly
Answer:
x^3+6x^2-6x-11
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
(x² - 6) (x + 6) + 25
x²(x + 6) + -6(x + 6) + 25
x³ + 6x² - 6x - 36 + 25
x³ + 6x² - 6x - 11