Which are the solutions of x2 = –7x – 8?
StartFraction 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction
StartFraction negative 7 Over 2 EndFraction minus StartFraction StartRoot 17 EndRoot Over 4 EndFraction comma StartFraction negative 7 Over 2 EndFraction + StartFraction StartRoot 17 EndRoot Over 4 EndFraction
StartFraction 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction 7 + StartRoot 17 EndRoot Over 2 EndFraction
StartFraction negative 7 minus StartRoot 17 EndRoot Over 2 EndFraction comma StartFraction negative 7 + StartRoot 17 EndRoot Over 2 EndFraction
The solutions of the given quadratic equation are:
[tex]x = \frac{-7 + \sqrt{17} }{2} \\\\x = \frac{-7 - \sqrt{17} }{2}[/tex]
How to get the solutions of the quadratic equation?
Here we have the quadratic equation:
[tex]x^2 = -7x - 8[/tex]
To solve it, we can rewrite it as:
[tex]x^2 + 7x + 8 = 0[/tex]
Now if we use Bhaskara's formula, we get the solutions:
[tex]x = \frac{-7 \pm \sqrt{(7)^2 - 4*1*(8)} }{2} \\\\x = \frac{-7 \pm \sqrt{17} }{2}[/tex]
Then the two solutions are:
[tex]x = \frac{-7 + \sqrt{17} }{2} \\\\x = \frac{-7 - \sqrt{17} }{2}[/tex]
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For positive acute angles A and B, it is known that sin A = 24/25 and cos B = 11/61
Find the value of cos(A + B) in simplest form
Answer:
Rounded to 0.42. Not rounded: 0.41729656785
Step-by-step explanation:
24/25 = 0.96
11/61 = 0.180327869
Add those together.
Answer for that: 1.14032787
Find the cos for the answer.
Which is 0.41729656785 to 0.42
F(x)=2x^2+6x-4
G(x)=5x^3-6x^2-3
Find (f+g)(x)
A function assigns the values. The value of (f+g)(x) is (5x³ - 4x² - 6x - 7).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given F(x)=2x²+6x-4 and G(x)=5x³-6x²-3, therefore, the value of (f+g)(x) is,
(f+g)(x) = f(x) + g(x)
= 2x²+6x-4 + 5x³-6x²-3
= 5x³ - 6x² + 2x² - 6x - 4 - 3
= 5x³ - 4x² - 6x - 7
Hence, the value of (f+g)(x) is (5x³ - 4x² - 6x - 7).
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4 < x < 7
Please give me a proper explanation.
An explanation for 4 < x < 7 is that 4 is less than and x is less than 7.
How to explain the information?The mathematical expression that is given is 4 < x < 7. It should be noted that this implies that 4 is less than and x is less than 7.
In this case, the appropriate values that can fit x in this situation will be 5 and 6.
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As an estimation we are told £3 is €4.
Convert £10.50 to euros.
I need help what's the answer
Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)
First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.
We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.
[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]
This means your slope is 2, which means [tex]m[/tex] is 2.
Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.
Now we can plug in the values into our original equation to get the equation of the line.
[tex]y = 2x - 5[/tex]
That is the answer
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PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?
Answer:
sorry but i need the answer too pls answer the question
What Is The Formula To Calculate Total Surface Area??
Answer:
you need to calculate the areas for each side of the figure and then add it all up
Step-by-step explanation:
There is £80 in a pot which is shared out amongst 3 people. Anne gets £20 Mark gets £35 and Ben gets £25. What ratio of the money do all of the people get?
What is the value of 6 in 640.31?
Answer:
hundred
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
on a piece of paper, graph y=3/4x-3 use the graph to find the x-intercept of the line
The x-intercept of the line is (4, 0)
How to find the x-intercept of a lineThe x-intercept of a line is the point where the line crosses the x-axis. Given the equation below:
y=3/4x-3
The x-intercept occurs at the point where y = 0. Substitute:
0 = 3/4x - 3
3/4x = 3
3x = 12
x = 4
Hence the x-intercept of the line is (4, 0)
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Help! I need to finish but I'm stuck! Will give brainliest!
The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.
Which of the following expressions represents the area of the shaded figure?
2(18 + π)
2(12 + π)
4(9 + 2 π)
8(3 + π)
Answer:
2(12 + π)
Step-by-step explanation:
This will get you about 30and even by just counting squares you will get the closest to this answer.
PotrzebnaPomoc!
Mam nietypowe pytanie, ale jak się liczy objętość graniastosłupa, to na końcu zawsze jest do sześcianu?
W sensie jak mamy jakiś zadanie np. Prostopadloscian o wymiarach 2cm X 1dm X 5mm (2cm X 10cm X 0,5), to wyjdzie na 10cm, ale do trzeciej. I czy w każdym graniastosłupie wyjdzie do sześcianu na końcu? W każdym tego typu zadaniu? Proszę o pomoc, bo ważne, jak ktoś nie wie, to niech nie pisze, pls
Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.
The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. the hole will be 48ft long, 39ft wide, and 9ft deep. to haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. the crew knows the amount of dirt the truck can hold each trip in cubic yards.
(a) find the volume of dirt that will be hauled away in cubic yards. use the table of conversion facts, as needed.
____yd3???
(b) each trip, the truck can haul away 11yd3 of dirt. to save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. how many trips are needed to haul away all of the dirt? count each trip it makes the same, even if the truck isn't full.
_______trips???
c) if it costs $1175 for each trip that the truck makes, how much will it cost to haul away all the dirt?
$____ ???
The first step is to convert feet to yards.
1 feet = 1/3 yards
48 / 3 = 16 yards 39 / 3 = 13 yards 9/3 = 3 yardsVolume of the dirt hauled away = 16 x 13 x 3 = 624 yards³
Number of trips needed to haul away the dirt = 624 / 11 = 56. 7 = 57 trips
Total cost = 57 x 1175 = $66,975
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A grab bag contains 2 football cards and 8 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. Determine whether the events are independent. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.
The events are not independent.
The probability of selecting a football card and a basketball card is 0.16.
What is the probability?Probability is the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of selecting a football card and a basketball card = (number of football cards / total number of cards) x (number of basketball cards / total number of cards)
2/10 x 8/10 = 0.16
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HURRY!!!!
If p -> q is true and q is true, then p is ____ true.
-always
-sometimes
-never
If p is true and q is true, then ~ p -> ~ q is ____ true.
-always
-sometimes
-never
Sometimes. p ⇒ q is true if both p and q are true, or whenever p is false.
Always. ¬ p ⇒ ¬q is true if ¬p and ¬q are both true (which means p and q are both false), or whenever ¬p is false (p is true).
Need help! :(((((((((((((((((((((((((
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
it's so simple dude
Part D
What is the difference of the earnings of movies C and D for that week?
The difference of the earnings of movies C and D for that week is $10,652,270.46 .
What is the difference in earnings?Subtraction is used to determine the difference between two or more numbers.
The difference = earnings of movie D - earnings of movie C
$34.311,887.98 - 23,659,617.52 = $10,652,270.46
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1. If mPQ = 130°, find mRQ.
Answer:
mRQ = 50
Step-by-step explanation:
180-130=50
PLEASE HELP! PIC ATTACHED
Answer:
x = 25
Step-by-step explanation:
First turn this into an equation:
[tex]\frac{4}{5}[/tex] times x = 20
Now divide both sides by [tex]\frac{4}{5}[/tex]. You can't divide by a fraction, instead you multiply by flipping the fraction. So now you're multiplying both sides by [tex]\frac{5}{4}[/tex].
20 times 5 = 100. Next you divide [tex]\frac{100}{4}[/tex]. This is equal to 25. You have completed the equation and now have the answer:
x = 25
Have a great day!
If f(x) = 2x2 + 3 and g(x)=x2-7, find (f- g)(x).
The difference of the given functions is x^2 + 10
Difference of functionsGiven the following functions
f(x) = 2x^2 + 3 and
g(x)=x^2-7
Take the difference
(f-g)(x) = 2x^2 + 3 - (x^2 - 7)
(f-g)(x) = 2x^2 - x^2 +3 + 7
(f-g)(x) = x^2 + 10
Hence the difference of the given functions is x^2 + 10
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Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking.
Answer:
I disagree.
Step-by-step explanation:
The reasoning may be wrong but I believe it is disagree.
I am going to keep it simple.
On the spinner there are 4 options, 3 for red and 1 for yellow.
Therefore, we have a 1/4 chance to get a yellow once.
If we get a yellow again, it is another. 1/4 chance.
1/4 x 1/4 is 1/16, considerably smaller than 1/3.
Answer:
From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore,
[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]
[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]
Multiplication Rule for Independent Events
For independent events A and B:
[tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]Therefore,
[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]
ConclusionAri is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
Susan collects softball cards in her collection she had 128 she decides to gives 3 eights
Answer:
need more information to answer for you.
Step-by-step explanation:
which statement best describes the polynomial?
How can I solve this math problem.
Answer:4.6
Step-by-step explanation:
Use the pythagorean theorem, then find the square root using your calculator.
1. What is the area of the polygon? Show your work.
True or False
1. The data given in interval is a grouped data.
2. The specific point where the upper and lower limit meets is the data value.
3. The gap between each data value is called interval.
4. The number of times an observation occurs or appears in a data set is called frequency distribution table.
5. The lowest number in the class interval is the upper limit.
Answer:
true
false
true
false
true
A survey was conducted by a pet store to find the number of cats and dogs owned by people in a neighborhood block. The results of the survey are represented in this Bar Graph. Which statement describes why the Bar Graph is not properly drawn? A. The vertical scale is too high. B. The vertical scale should not start at zero. C. The bars are not the same width. D. The bars are not the same height.
Answer: C
Step-by-step explanation:
A line with a slope of -2 passes through the point (3,-1). Which of the following is the equation of the
line?
Answer:
C.) y = -2x + 5
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".
m = -2 x = 3 y = -1
y = mx + b <---- General structure
y = -2x + b <---- Plug -2 in for "m"
-1 = -2(3) + b <---- Plug "x" and "y" values in from point
-1 = -6 + b <---- Multiply -2 and 3
5 = b <---- Add 6 to both sides
Therefore, the equation of the line is:
y = -2x + 5
If m∠2 = 137 and m∠P = 22, what is m∠O?
Answer:
The answer is 21
Step-by-step explanation:
This should help you