The quadratic equation 4x² + 5x + 10 = 2x in standard terms can be written as 4x² + 3x + 10 = 0.
A quadratic equation is of the form ax² + bx + c = 0, where a is the coefficient of x², b is the coefficient of x and c is the constant term. Such equations are called quadratic because the degree of the equation is 2 as the highest power of the polynomial is 2. Such equations have 2 roots, whose sum equals [tex]-\frac{b}{a}[/tex] and their product is equal to [tex]\frac{a}{c}[/tex].
Some examples of quadratic equations are 2x² + 3x - 1, 4x² + 16x + 4, etcectra.
The given quadratic equation is 4x² + 5x + 10 = 2x.
4x² + 5x + 10 = 2x
4x² + 5x - 2x + 10 = 2x - 2x
4x² + 3x + 10 = 0.
Hence, in the standard form, the quadratic equation 4x² + 5x + 10 = 2x can be written as 4x² + 3x + 10 = 0.
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A line that includes the points (-2, c) and (-1, 10) has a slope of 2. What is
the value of c?
Answer:
8
Step-by-step explanation:
m = (Y2-Y1) ÷ (X2- X1) 2 = (10-c) ÷ (-1-(-2)) 2 = (10-c) ÷( 1)2= 10-cc = 10-2c= 8(-2,c) and (-1,10)
10-c
-1--2
10-c
1
We need the fraction to be 2, or 2/1. The bottom number is 1, so we technically already have the answer. But we still need to plug in a number for c. To get 2, we need to subtract 8 from 10.
So c is 8.
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hope it helps
sorry my work was a mess
What’s the answer???
Answer:
Question 7 = $2
Question 8 = $16
Find the value of x. A 65° B 32.5° C 70° D 147.5°
Answer:
A
Step-by-step explanation:
idek sorry i think its A
A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9, 2, 0, 2. The second column of leaves are blank, 4, 1, 3. The third column of leaves are blank, 4, blank, blank. The fourth column of leaves are blank, 6, blank, blank. The fifth column of leaves are blank, 8, blank, blank. The stem and leaf plot shows high temperatures recorded each day at the beginning of the month. Which temperature occurs the most frequently
Answer:
The temperature with the highest frequency is 54
Step-by-step explanation:
Given
The above data
Required
The temperature with the highest frequency
The first step, is to plot the stem and leaf plot.
[tex]\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ } \ \end{array}[/tex]
Next, is to identify the leaf with the highest frequency.
The leaf is 4 (with frequency 2)
Next, is to identify the accompanying stem of the leaf
The stem is 5
Hence, the temperature with the highest frequency is 54
Answer:
B
Step-by-step explanation:
edg 2021
Giving Brainiest (No Links) ~Repost Cause last one no one answered~
(If you don't show work for each I comment "No Show work")
<3
Determine the slope of a line that passes through the following sets of points. Show your work.
(1, 1) and (4, 5)
(2, -1) and (4, 13)
(1, 18) and (-9, -2)
Slope is the change in y over the change in x
1. (1,1) and (4,5)
Slope = (5-1)/(4-1)
Slope = 4/3
2. (2,-1) and (4,13)
Slope = (13 - -1)/ (4-2)
Slope = 14/2
Slope = 7
3. (1,18) and (-9,-2)
Slope = (-2 -18)/(-9 -1)
Slope = -20/-10
Slope = 2
A cylindrical canister has a radius of 7 cm and a height of 16 cm. Find the volume of
the canister.
pls show your work thx pls help me will give brainly.
Answer:
7/16 = 0.4375
Step-by-step explanation:
sry
20 POINTS‼️‼️Which of the following does NOT represent the number of months in a year?
A and b are in the attached photo.
C. y= 12x, where x represents the number of years and y represents the number of months
D. There are 96 months in 8 years.
‼️PLEASE DO YOUR BEST TO SHOW WORK FOR BRAINLIEST‼️
Answer:
B because when you multiply the first number by twelve the first two are correct but the second ones are not
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
12 times 6 = 72, not 60
Please help! I'm not sure how to do these.
Answer:
i dont know bro
Step-by-step explanation:
The population standard deviation for the heights of dogs, in inches, in a city is 3.4 inches. If we want to be 90% confident that the sample mean is within 1 inch of the true population mean, what is the minimum sample size that can be taken?
Answer:
The minimize size that can be taken is - 31.28 or 31 .
Step-by-step explanation:
Lets calculate -
Population standard deviation, [tex]\sigma=3.4 inches[/tex]
Margin of error, E = 1
Critical value , [tex]z_0_._0_5 =1.645[/tex]
Now , the size of the sample , [tex]n=(\frac{z\times \sigma}{E} )^2[/tex]
Putting the given values ,
[tex]=(\frac{1.645\times 3.4}{1})^2[/tex]
= 31.28 or 31 .
The given table of the question has been attached here .
Hence , the answer is 31.
Suppose you are interested in learning about how much time seventh grade students at your school spend outdoors on a typical school day. Select all the samples that are a part of the population you are interested in. a. The 20 students in a seventh grade math class. b. The first 20 students to arrive at school on a particular day. c. The seventh grade students participating in a science fair put on by the four middle schools in a school district. d. The 10 seventh graders on the school soccer team. e. The students on the school debate team.
Answer:
1. The 20 students in a seventh grade math class.
4. The 10 seventh graders on the school soccer team.
Step-by-step explanation:
I just submitted the form and these are the right answers :)
It might be not on time but still lol.
I AM SURE THOSE ARE RIGHT ANSWERS !!! :)))
The 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The samples that are a part of the population of interest, which is seventh grade students at your school, are:
The 20 students in a seventh grade math class.
The seventh grade students participating in a science fair put on by the four middle schools in a school district (if the students are from your school).
The 10 seventh graders on the school soccer team (if they are from your school).
The samples that are not a part of the population of interest are:
The first 20 students to arrive at school on a particular day (as this may include students from different grades or schools).
The students on the school debate team (as this may include students from different grades or schools).
Hence, the 20 students in a seventh grade math class, the seventh grade students participating in a science fair put on by the four middle schools in a school district and the 10 seventh graders on the school soccer team are the samples
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Michael's dog stands 10 feet from a table, and notices a plate resting on the edge of the table. The height from the ground to the top of the table is 4 feet, and his dog's eyes are 1 foot above the ground. What is the angle of elevation from Michael's dog to the plate? Round your answer to the nearest whole degree.
Answer:
The angle of elevation is 17°.
Step-by-step explanation:
Let's draw the scenario to better understand the problem:
Focusing on the right triangle formed, it appears that we get measures of the two sides of the right triangles.
Opposite Side = 3 Ft.
Adjacent Side = 10 Ft.
To find the angle of elevation, we will be using the Targent Function:
[tex]targent \: 0 = \frac{opposite \: side}{adjacent \: side} \\ targent \: 0 = \frac{3}{10} \\ 0 = {targent}^{ - 1} ( \frac{3}{10} ) \\ 0 = 16.69924423399 = 17[/tex]
Therefore, the angle of elevation is 17°.
equivalent fractions for 2 4/5 and 2 2/3 plz help I will mark brainliest
Answer:
24/5: 48/10
22/3: 44/6
plz mark me as brainliest.
Please please help please please ASAP
pls help asap
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate in standard form the equation of the line passing through the given points.
E(-2, 2), F(5, 1)
Answer:
The equation of the line that passes through the given points is ;
7y = -x + 12
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general equation form
is;
y = mx + b
where m is the slope and b is the y-intercept
Now, let us substitute the x and y coordinate values of each of the points;
for (-2,2); we have
2 = -2m + b
b = 2m + 2 •••••(i)
for F;
1 = 5m + b
b = 1-5m ••••••(ii)
Equate both b
1-5m = 2m + 2
1-2 = 2m + 5m
7m = -1
m = -1/7
Recall;
b = 2m + 2
b = 2(-1/7) + 2
b = -2/7 + 2
b = (-2 + 14)/7 = 12/7
The equation of the line is thus;
y = -1/7x + 12/7
Multiply through by 7
7y = -x + 12
a - 2/3 = 3/5 how much is a?
Answer:
its 1 4/5 or 19/15
they are both the same
Step-by-step explanation:
so first you need to find the same common factor
A-10/15=9/15
then add 10/15 and 9/15 to find a
19/15-10/15=9/15
or
1 4/15-2/3=3/5
yw :)
Help please fast and don’t say files
Please help no links please
Answer:
9/20
Step-by-step explanation:
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
-5 + 4n
Step-by-step explanation:
-1/2(10 - 8n)
-5 + 4n
Please help ! 13 points
Answer:
...
Step-by-step explanation:
remeber that for every angle they give you, you need to subtract 90 from it to get the answer.
) What is the GCF of 36 and 60?
4
6
12
18
Answer:
12
Step-by-step explanation:
List out the factors of each
36: 1,2,3,4,6,9,12,18,36
60: 1,2,3,4,5,6,10,12,15,20,30,60
the highest number they both have in common is 12
Please answer correctly! I will Mark you Brainliest!
Answer:
I think the volume of the figure is 60 but I'm not 100 % sure
Step-by-step explanation:
I belive the formula for this figure was (a+b)xh/(2)
So 40x 3 = 120
120/2 = 60
!!!!NEED HELP ASAP DUE SOON!!!!!This table of values represents a linear function. Enter an equation that represents the function defined by this table of values.
Answer:
y=3x+6
Step-by-step explanation:
Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.
The first pentagon is dilated to form the second pentagon.
Drag and drop the answer to correctly complete the statement.
Will Mark Brainlist =)
Answer:
2
Step-by-step explanation:
Answer:
2 is answer i promise
Step-by-step explanation:
How far from the tower can it be placed, to the nearest foot?
Answer:
43 feet would be the correct answer.
Step-by-step explanation:
Find the area of a circle with radius 14 mm. Round your answer to the nearest tenth.
Step-by-step explanation:
1cantimeter=10mm
14mm=1.4cm
Area of circle pi r²=pi*1.4²=1.96pi
Help help please please
Answer:
18
Step-by-step explanation:
This is actually pretty easy. Keep this in mind.
There are 34 total students. 16 of them like bananas and the rest like apples. All you really need to do is count up from 16 to 34 to find the answer.
The simple equation for this is: 34-16
Thus, the answer is 18.
Renee is a sales associate at a store. She earns $80 a week plus a 15% commission on her sales. Last week, she sold $200 worth of items. What is the total amount Renee earned for the week? How much did she earn from commission?
Renee earned a total of $
for the week. The amount she earned from commission was $
.
Answer:
The amount earned for the week=$110
Amount earned from commission =$30
Step-by-step explanation:
commission earned on sales = $200×15%= $30
total amount for the week=$80 +$30= $110
1. Describe the relationship between the terms in the sequence 13, 26, 52,
104, ... Then write the next three terms in the sequence.
Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832
Answer: 208, 416, 832
The numbers double by itself
Step-by-step explanation:
13+13 = 26, 26+26 = 52, 52+52 = 104, 104+104=208 and so on
Calculate the volume of 2.45 moles of hydrogen gas at STP.
One Mol of any gas occupies a volume of 22.4
We have been given the number of miles of hydrogen and the volume of any gas at STP
Therefore you can use that and substitute it into the formula to calculate the Volume of hydrogen for that number of moles
Shanna deposit 11,500 and leaves the funds in her account for 14 years how much will she have if the interest rate of the bank offered 4.9%
Hello!
This is a problem about interest rates.
Since we are not given the "[tex]n[/tex]" value, how many times this interest applies per time period, we can assume that we are most likely dealing with simple interest with an annual interest rate.
The simple interest formula is as follows,
[tex]A=P(1+rt)[/tex]
Where [tex]A[/tex] is the total amount, [tex]P[/tex] is the initial principal balance, [tex]r[/tex] is the annual interest rate, and [tex]t[/tex] is time in years.
Since we are given all this information, we can just solve after converting the interest rate of 4.9% to a decimal, which is 0.049.
[tex]A=11500(1+0.049*14)[/tex]
[tex]A=11500(1.686)[/tex]
[tex]A=19389[/tex]
So at the end of the 14th year, Shanna will have $19,389 in her account.
Hope this helps!