Step-by-step explanation:
[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]
Equation from the positive root:
[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]
Equation from the negative root:
[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]
Answer:[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.
Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .
To Find : The roots of the equation .
Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .
⇒ 3x² -5x - 7 = 0.
Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.
[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]
On substituting respective values ,
⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.
⇒x = 5 ± √ [ 25 + 84 ]/ 6 .
⇒ x = 5 ± √ 109 / 6 .
⇒ x = 5 + √109 / 6 , 5 - √109 / 6.
[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]
A=1/2h(a+b), solve for a
Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
Dominique has $13.75 in her piggy bank. All of the money are quarters. How many quarters are in the piggy bank?
Answer: I think its 0.55
Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75
The number of quarters in the piggy bag will be 55.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.
Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.
The number of the quarters will be calculated as:-
1 dollar ⇒ 4 quarters
13.75 dollars ⇒ 13.75 x 4 quarters
13.75 dollars ⇒ 55 Quarters
Therefore, the number of quarters in the piggy bag will be 55.
To know more about unit conversion follow
https://brainly.com/question/15661961
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An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:
Answer:
the speed value that the radar equipment outputs.
Step-by-step explanation:
A random variable in an experiment is also (and most times the case) called a dependent variable. In this scenario, the random variable would be the speed value that the radar equipment outputs. This is because this value depends on the actual velocity of the cars that pass by the equipment. The faster the car is moving when it passes the radar the higher value will be displayed on the equipment. Therefore, depending completely on the vehicles.
can someone tell me what my GPA is.
Answer:
probably 5.00
Step-by-step explanation:
g(-4) =
anyone know the answer to this
you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
What is the sum of (2x2 + 5x -3) and (-3x2 -10 + x2)
Answer:5x-13
Step-by-step explanation:
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[tex](2 {x}^{2} + 5x - 3) + ( - 3 {x}^{2} + {x}^{2} - 10) = \\ [/tex]
[tex]2 {x}^{2} - 2 {x}^{2} + 5x - 3 - 10 = [/tex]
[tex]5x - 13[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Helppppppp lol idk what I’m doing
Answer:
C
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"times" means multiplication
"a number" = n
"plus" means addition
"3" = 3
"is" means equal
"12" = 12
Step 2: Set up equation (combine)
5n + 3 = 12
Answer:
C
Step-by-step explanation:
a number represents n
is represents =
times represents multiplication
plus represents addition
5 times n plus 3 is 12
so this means
5n+3=12
-9|-x+5|=0
Solve for x.
Answer:
x=5
Step-by-step explanation:
-9|-x+5|=0
Divide by -9
|-x+5|=0
The are normally two solutions, one positive and one negative, but +0=-0=0
-x+5 =0
Add x to each side
-x+5+x =0+x
5 =x
Solve the formula d = rt for t.
A. t=d/r
B. t= rd
c. t= r/d
D. t= d-r
Answer:
A,t=d/r
Step-by-step explanation:
if d=rt t=?
d/r=rt/r (to get alone t we devided by r on both sides)
d/r=t
i think it is clear
&i hope it helps you
PLEASE HELP ASAP!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls.
x is boys
y is girls
800=1.5x=y
Determine how many boys and girls attend Park Middle School. Round to the nearest whole number if necessary. Show your work.
Answer:
320 boys; 480 girls
Step-by-step explanation:
Here is the correct system of equations you can write for this equation:
1.5x=y
x+y=800
x+1.5x=800
2.5x=800
x=320
320+y=800
y=480
Use technology to solve the following problem: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 38 and standard deviation σ = 7. What proportion of tires have lifetimes between 36 and 46 thousand miles?
Answer:
0.4859
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
mean μ = 38,000
standard deviation σ = 7,000
For.
36 ( thousand miles) = 36,000
z = (x-μ)/σ
z = 36,000 - 38,000/7000
z = -0.28571
Probability value from Z-Table:
P(x = 36000) = 0.38755
For 46 thousand miles = 46,000
z = (x-μ)/σ
z = 46,000 - 38,000/7000
z =1.14286
Probability value from Z-Table:
P(x = 46000) = 0.87345
The proportion of tires that have lifetimes between 36 and 46 thousand miles is calculated as:
P(x = 46000) - P(x = 36000)
0.87345 - 0.38755
= 0.4859
someone pls help, find the length of the segment
the segment is 4 units long
hope this helps
A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.
Answer:
4x4=shaggy
Step-by-step explanation:
Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25
Answer:
the answer is 9
Step-by-step explanation:
Answer: the correct answer is 9!!!!!
all drop down menus are 0-9
use drop down menus to complete each equation so the statement about its solution is true.
Answer: 5-4+7x+1 = [7]x+[not 2]
5-4+7x+1 = [not 7]x+[any number]
5-4+7x+1 = [7]x+[2]
help please i need helpp
7. Make a box and whisker plot of the following data. Show your work as to how you calculated the different key points on the box-and-whisker plot.
21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23
Answer:
Oh boy this is a lot of work
Step-by-step explanation:
So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.
Make a number line. Label it from the least number which is 21 to the greatest number which is 30.Make a box from the 1st quartile which is from 33.5 to 39.5.Split the box on number 24.Make the whiskers which mean make a straight line from the left of the box to the least number which is 21 and make another straight line from the right of the box to the greatest number which is 30.That's all the step to make a box-and-whisker plot!Hope this helped.
Solve each of the following equations for the missing variable.
2x – 14 = -9
x = 10
x = 2.5
x = -2.5
x = -10
Answer: x = 2.5
Step-by-step explanation: Add 14 to both sides. After that take the number left on the right side (5) and divide it by 2. That leaves you with x = 2.5
What is the value to the expression -2.1(4.7+(-7.4))
Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!
Step-by-step explanation:
Your work is correct. First, you graphed the region. The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).
The value of C at this point is C = 14.
Please help!! Will give brainliest if correct!
If triangle RST is an equilateral triangle, find x and y.
A. x = 70, y = 35
B. x = 80, y = 40
C. x = 120, y = 30
D. x = 120, y = 40
Answer:
C.
Step-by-step explanation:
Please help! I will give brainliest
Answer:
3
Step-by-step explanation:
as x is bigger than 0in which x is maximum and 0 is minumum
What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
what are the slopes of the two lines?
Step-by-step explanation:
The slopes of two lines are equal
What’s the slope of (-8,2) (1,9)
Step-by-step explanation:
equation of the line passing through two points
x-x1/x2-x1=y-y1/y2-y1
x-(-8)/1-(-8)=y-2/9-2
x+8/9=y-2/7
7x+56=9y-18
9y=7x+56+18
y=7/9x+74/9
y=mx+b m is the slope
so m=7/9
there is a short way showing slope shown in the picture
What is pls help meeee6x+4
Answer:
2(3+2)
Step-by-step explanation:
Solve for x:
20- 3x= -3(x-8)
Answer:
[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]
It does not have any answer.
Jackson spent $3,472 on a new TV. If he paid it off in 16 equal payments, how much was each payment?
A $217
B $237
C $207
D $227
Answer:
A. 217
Step-by-step explanation:
3,472/16 = 217