Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
Learn more about quadratic equations here: brainly.com/question/1863222
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how do I work it out ?
Answer:
x - y = 5
Explanation:
As you can see in the first problem the ration is x to y = 8 to 3. This means for every 8 x values, there are 3 y values. Therefore, x - y should be the same as 8 - 3, which is 5.
Can someone help me pretty please?
PLEASE HELP, I NEED THIS RIGHT NOW!
Answer:
A
Step-by-step explanation:
i dnt know how to explain tht but hi
Identify the percent of change as an increase or decrease. 10 feet to 8 feet point
Increase Decrease
Answer:
It decreases because it's going lower if it increases its going higher
What are these answers please and thank youu??
Answer:
7
13
19
28
Step-by-step explanation:
y= 1 + 3x
the first one is 2. we replace x with 2. now we have 1+3*2. We would have to multiply 3 and 2 which is 6. Now we have 1+6. which equals 7. Next one is 4 times 3 equals 12. 12 + 1 =13. Next one 6 times 3 equals 18. 18 + 1 = 19. The same thing for the next one
Give each trig ratio as a fraction in simplest form.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
sin(D) = 20/29
D = arcsin(20/29)
D=43.60281897 °
cos( 43.60281897 °)= DF / 29
DF = 29*cos( 43.60281897 °)
DF = 21
sin(D) = 20/29
cos(D) = 21/29
tan(D) = 20 / 21
sin(E) = 21/29
cos(E) = 20/29
tan(E) = 21 / 20
In the figure, AB is tangent to circle C. Find the length of DB.
Answer:
8.5
Step-by-step explanation:
First we need to get BC using the pythagoras theorem
BC² = AC² + AB²
BC² = 8² + 15²
BC² = 64+225
BC² = 289
BC = √289
BC = 17
DB = 1/2BC
DB = 1/2 * 17
DB = 8.5
Hence the length of DB is 8.5
BRAINLIEST!!! SEE BELOW!!
plzz help....
Answer:
D. Survey every 10th customer to enter the store
plz mark as brainliest
Answer:
D. Survey every 10th customer to enter the store
Step-by-step explanation:
have a good day!
A washing machine uses 27 gallons of water to wash 3 loads of clothes. How many gallons of water would be used to wash 14 loads of clothes?
Answer:
126 Gallons
Step-by-step explanation:
Take 27/3 to find how many gallons it takes for 1 load which is 9
Then multiply 9 (the gallons it takes for one load) by 14 to get 126 :)
en un aparcamiento hay 55 vehiculos entre coches y motos. Si el total de ruedas es de 170. ¿Cuantos coches y cuantas motos hay?
Answer:
Spanish?
Step-by-step explanation:
I speak english
Find the area of the shaded region to the nearest tenth.
Answer:
(540-36π)km²
Step-by-step explanation:
First solve the area of the shaded triangle. 40 times 27 divided by 2 equals 540. Now subtract the area of the circle. The area of the circle is 36π because the radius is 6 and 6 squared times pi equals 36π. Finally subtract 36π from 540. The answer is (540-36π)².
Two frogs had a jumping contest. The heights they jumped are shown below.
Frog one jumped 70cm
Frog two jumped 850mm
What is the difference between the distances, in millimeters?
Answer: 150mm
Step-by-step explanation:
We should note that 10 millimeter = 1 centimeter. Therefore, 70cm to mm will be:
= 70 × 10 = 700mm
Frog one jumped 70cm = 700mm
Frog two jumped 850mm
The difference between the distance will be:.
= 850mm - 700mm
= 150mm
Please help! Factor out the GCF:
Answer:
35(2n + 1) A is correct
Multiply and you'll get
70n + 35
Step-by-step explanation:
35 is the greatest factor
70n / 35 = 2n
Answer:
35(2n + 1)
Step-by-step explanation:
what is 3040-17+6987x987654
Reat me 1-10
Answer:
6900741521
u cool
i guess
imma guy so...imma say u look 6/10
Step-by-step explanation:
Pls help me I don't understand!!!!!!!!
Answer:
13 large 8 small
Step-by-step explanation:
mark the other person brainliest plz
help me pls, question is on the picture
Answer:
I just learned this about a few weeks ago I hope this helps.
Step-by-step explanation:
Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.
Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.
Hope this helps
Use picture
Identify all values of x that make the equation true.
1.
2+1 =
2-15
2+11
1
2+5
1
O x=-11,-5
O x=-2, -7
x=11,5
x=2, 7
HELPP PLEASEEE!!!! i will give brainiest and 10+points, HELP HURRYY THANKSSSSSS
Answer:
Im sorry I honestly don't know
Step-by-step explanation:
But can you look at my question to see if you can help me? Please I understand if you can't. My regards
What is the measurement of R ?
Answer:
in a rhombus opposite angles are equal therefore it's also 135
At noon, the temperature was 0° Fahrenheit. The temperature changed by −1.2°F every hour for 8 hours. What was the temperature in degrees Fahrenheit at the end of the 8-hour period?
Enter your answer in the box.
Find the measure of angel 3
Answer:
100
Step-by-step explanation:
Remark
If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to
Vertically opposite angle = 1/2 (arc1 + arc2)
Givens
Arc1 = 60
Arc2 = 100
Solution
The red dot angle = 1/2 (60 + 100)
The red dot angle = 1/2(160)
The red dot angle = 80
Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.
<3 and red dot = 180
<3 + 80 = 180 Subtract 80 from both sides
<3 = 180 - 80
<3 = 100
70% of the books on a bookshelf are English books. If there are 35 English books on the bookshelf, find the number of books on the bookshelf.
Answer:
I'm pretty sure it would be 50 books on the shelf
can someone help me?? i’ll mark brainlist
PLEASE HELP. I CAN'T FAIL THIS TEST. A local movie theatre is having trouble getting people to come to the movies and they are trying to figure out why. They decide to survey the next 100 movie goers to see how they feel about going to the movies. Is this a good way for them to the movie theatre to collect data?
A) No, they are surveying people that are attending the movies and they are trying to find why people don't go to the movies.
B) Yes, since these are people that frequent the movie theater they can find out what they are doing that people like.
C) Yes, it is an inexpensive way for the movie theatre to get the information that they need.
D) No, that is too many people to survey and it will take too long to tally the results.
Answer:
I would say the answer is A.
Step-by-step explanation:
I think this because well why survey people that are coming into the Theaters cause obviously it seems like the like going to the movies, but truly they are suppose to survey people who don't like going to the movies.
Answer:
A
Step-by-step explanation:
Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.
sigma squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction. = StartFraction 9 squared minus 32 squared + 12 squared + 0 squared + 11 squared Over 5 EndFraction. = StartFraction 81 minus 1,024 + 144 + 0 + 121 Over 5 EndFraction. = StartFraction negative 678 Over 5 EndFraction. = negative 135.6
What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)2 as -(32)2.
Emi forgot to take the square root of -135.6.
Answer:
135.6
i think
Step-by-step explanation:
Emi evaluated (46 - 78)² as -(32)². The variance of the given data is 274. Therefore, option C is the correct answer.
Given that, the population data set is 87, 46, 90, 78, and 89.
Here, mean = [tex]\bar x[/tex] =78 and n=5
We know that, mean [tex]\bar x=\frac{\sum x_i}{n}[/tex] and variance = [tex]\sigma^2=\frac{\sum (x_i-\bar x)^2}{n}[/tex].
Here, σ² = [(87-78)²+(46-78)²+(90-78)²+(78-78)²+(89-78)²]/5
= (9²+(-32)²+12²+0²+11²)/5
= (81+1024+144+121)/5
= 1370/5
= 274
So, the variance is 274.
Therefore, option C is the correct answer.
Learn more about the variance here:
https://brainly.com/question/29615374.
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convert 17584000cm3 to kl
Answer:
17.58 KL
Step-by-step explanation:
.
Answer:
17.584 kl.
Step-by-step explanation:
1 kl = 1,000,000 cm^3.
So the answer is 17.584 kl.
What is the value of x?
Enter your answer in the box.
Answer:
4
Step-by-step explanation:
This is a pair of special right triangles
in RST its 30-60-90 triangle
It's RT will be 4
then in triangle RQT it is 45-45-90 triangle
It's two sides are always equal so RQ = 4 as well
Which number best represents a temperature drop of twelve degrees?
A. -1.2
B.
1.2
C. -12
D.
12
Answer:
c
Hope it helps :)
A parabola is graphed such that the axis of symmetry is x = 3. One of the x-intercepts is (5, 0). What is the other x-intercept?
The axis of symmetry is the fold line that splits the parabola down the middle.
Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.
So if we know the axis of symmetry is x = 3 and one of our points
has the coordinates (5, 0), the other point will have the coordinates (3, 0).
The axis of symmetry is always halfway between the x-intercepts.
