Determine the discriminant for the quadratic equation -3=x^2+4x+1. Based on the discriminant value, how many real number solutions does the equation have ? Discriminant value = b^2-4ac
Answer:
One real root (multiplicity 2).
Step-by-step explanation:
-3=x^2+4x+1
x^2 + 4x + 4 = 0
Discriminant = 4^2 - 4*1*4 = 0
There is one real root (multiplicity 2).
The equation has 1 real solution.
The quadratic function is given as:
[tex]-3=x^2+4x+1[/tex]
Add 3 to both sides of the equation
[tex]3-3=x^2+4x+1 + 3[/tex]
This gives
[tex]0=x^2+4x+4[/tex]
Rewrite the equation as:
[tex]x^2+4x+4 = 0[/tex]
A quadratic equation is represented as:
[tex]ax^2+bx+c = 0[/tex]
By comparison, we have:
[tex]a =1[/tex]
[tex]b =4[/tex]
[tex]c = 4[/tex]
The discriminant (d) is calculated as:
[tex]d =b^2 - 4ac[/tex]
So, we have:
[tex]d =4^2 - 4 \times 1 \times 4[/tex]
[tex]d =16 - 16[/tex]
Evaluate like terms
[tex]d = 0[/tex]
Given that the discriminant value is 0, it means that the equation has 1 real solution.
Read more about quadratic functions at:
https://brainly.com/question/2507588
I WILL MARK BRAINLIEST, work out the value of.. 1+2/3+4/5+6
Answer:
Step-by-step explanation:
[tex]\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\[/tex]
Answer
[tex]59/37[/tex]
Explanation
[tex]1+\frac{2}{3+\frac{4}{5+6} }[/tex]
[tex]1+\frac{2}{3+\frac{4}{11} }[/tex]
[tex]1+\frac{2}{\frac{3}{1} +\frac{4}{11} }[/tex]
[tex]1+\frac{2}{\frac{33}{11} +\frac{4}{11} }[/tex]
[tex]1+\frac{2}{\frac{37}{11} } }[/tex]
[tex]1+2 \times \frac {11}{37}[/tex]
[tex]1+\frac{22}{37}[/tex]
[tex]1\frac{22}{37}[/tex]
[tex]\approx 1.594594594594594594594594594594595[/tex]
Please help me idk this
A recipe for a batch of blueberry muffins calls for 3/5 of a cup of blueberries if Rallye wants to make 1/2 of batch of muffins for herself and her tennis
Answer:
She will use 3/10 cups of blueberry to prepare muffins for herself and tennis team
Step-by-step explanation:
If recipe for a batch of blueberry muffins calls for 3/5 cups of blueberries
If Rallye wants to make 1/2 batch of muffins, then she will use 1/2 of 3/5 cups of blueberry
That is,
1/2 of 3/5 cups of blueberry
=1/2×3/5
=3/10
Helpppppppppppppppppppppppppppp
Answer:
Brainliest
Step-by-step explanation:
UT = XV
ST = WV
angle v = angle T
^^^^^^^^ these are correct
there is no way I can explain this by writing sorry!
Can someone pls help me
Answer:
Tenth: 6.2
Hundredth: 6.16
Thousandth: 6.159
Step-by-step explanation:
***In general, round up when the number is greater or equal to 5. If number is less, round down***
Rounding to the tenths place means that there will be a SINGLE digit following the decimal. Therefore, 6.1592 rounded to the tenths place will be 6.2 because '5' is equal to 5.
Rounding to the hundredths place means that there will be TWO digits following the decimal. Therefore, 6.1592 rounded to the hundredths place becomes 6.16 because '9' is greater than 5.
Rounding to the thousandths place means that there will be THREE digits after the decimal. 6.1592 rounded to the thousandths place becomes 6.159 because the digit to the right of the thousanths place is '2', meaning you round down. The digit in the thousandths place will stay the same.
Jenny recorded the number of basketball shots she made for each game. The histogram below shows her data. How many times did Jenny make less than four shots in a game?
a. 4
b. 7
c. 5
d. 1
Answer:
Answer choice a is correct, the answer would be 4.
Step-by-step explanation:
The histogram shows that the bin from 1-3 has a height of 4 shots, and all of the bins to the right include values of ≥4.
The question asks for the number of games that had less than 4 shots, which means that and number of shots greater than or equal to 4 would not be counted. Thus, only the first bin is included in the answer.
What is true of the function g(x) = –2x2 + 5? g(x) is the multiplication of g and x. –2x2 +5 is the input of the function. The variable x represents the independent variable. The variable g represents the input of the function.
Answer:
Step-by-step explanation
Here, we want to select what is true of the function.
The correct answer is that the variable x represents the independent variable
It represents the independent variable because the values of x does not depend on the values of g(x). In fact, the value of g(x) are dependent on the values gotten through the substitution of the different values of x into the equation.
Thus, we can confidently say that the function g(x) is the dependent variable as its values depend on the value for that x
Question:
What is true of the function g(x) = –2x2 + 5?
Answer:
C.) The variable x represents the independent variable.
pls help me for brainliest
Answer:
Hai
first i wanna find the full area. so ill multiply
14×10 = 140.
now the things i should do is find patch and bed's area and substrack from the all area to find the lawn!
For flower bed:
3×8= 24, 24÷2 = 12.
for vegetable patch:
5+7= 12×10 = 120÷2 = 60.
60+12=72
140-72= 68
good luck (:
Label axes according to input/output.
_________is the x–axis label.
__________ is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.
The ordered pair__________is found in the scatterplot.
Answer:
height (in.) is the x-axis label
arm span (in.) is the y-axis label
The ordered pair is (30,27) is found in the scatter plot
please answer this (photo below)
Answer:
Please see attached image for the graph
Step-by-step explanation:
To graph the elevation versus time, we start by plotting the first point at time zero (when the climb begins) when Zane is 20 meters below the edge (-20 meters). This corresponds to the point (0, -20).
One second later (1 in the horizontal axis), Zane has moved up 4 meters, now reaching -16 meters. This is the point (1, -16) on the graph.
One second later at time 2 seconds, he is another 4 meters up which corresponds to the point (2, -12) on the graph.
you can go on like this plotting more points on the graph.
Please see the attached image that illustrates this and shows the appropriate line that represents Zane's position versus time (pictured in red)
HELP ME HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! How many kilograms are in 76.2 grams? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 0.000762 kilograms 0.00762 kilograms 0.0762 kilograms 0.762 kilograms
Answer:
1000g = 1kg
76.2g ÷ 1000 = 0.0762kg
Answer:
0.0762
Step-by-step explanation:
Give an example of a function with a domain of (-∞,0).
Answer:
The one to the right
Step-by-step explanation:
HELP ASAP! which pairs of the angles in the figure below are vertical angles?
Answer:
B, C
Step-by-step explanation:
Seeing as you said ASAP I thought I wouldn't spend time writing an explanation, but let me know if you do want one.
Answer: B
Step-by-step explanation:each of the pairs of opposite angles made by two intersecting lines.
Mr. Smith has $21 in his bank account and deposits $12 per week. Mr. Brown has $55 in his account and deposits $10 weekly. After how many weeks will Mr. Smith and Mr. Brown have the same amount of money in their bank accounts?
a. Never!
b. 38 weeks
c. 17 weeks
d. 2 weeks
Answer:
17 weeks
Step-by-step explanation:
(12×17)+21= 225
(10×17)+55=225
over which interval does h have a positive rate of change?
Answer:
I believe the answer is D
Step-by-step explanation:
Answer: 2,3
Step-by-step explanation:
if a taxpayer has an adjusted gross income (AGI) of $27.000, donates $3500
to charity, and itemizes deductions on her federal income tax returrn, how
much of the charitable donation is deductible?
Answer:3,500
Step-by-step explanation:
What is the solution set of the equation 3x^2 =48
Answer:
x = ±4
Step-by-step explanation:
3x^2 =48
Divide by 3
3x^2/3 = 48/3
x^2 = 16
Take the square root of each side
sqrt(x^2) = ±sqrt(16)
x = ±4
Answer:
x = ± 4
Step-by-step explanation:
You need to get [tex]x^2[/tex] by itself, and to do this, you divide both sides by 3, like so:
[tex]3x^2 = 48\\x^2 = 16[/tex]
Now take the square root of both sides:
[tex]\sqrt{x^2} =\sqrt{16} \\[/tex]
x = ± 4
Find the area of an isosceles triangle with perimeter of 40 feet and a base of 12 feet. Round to the nearest whole number.
Answer: 76 ft2
Step-by-step explanation:
Perimeter = 2 side length +base length
40 = 2s +12
Solving for s:
40-12 =2s
28 =2s
28/2=s
14ft =side
Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)
Replacing with the values given:
14^2= 6^2 + x^2
196 = 36 + x^2
196-36 = x^2
160 = x^2
√160 = x
x = 12.64 (height)
Area of an isosceles triangle = 1/2 x base x height
A = 1/2 x 12 x 12.64 = 76 ft2
hi please answer this
Answer:
[tex] 60\sqrt{3 \\ } [/tex]
Step-by-step explanation:
in a cube, the diagonal is the length of a side times square root of 3
Please help!! Find the solution(s) to the system of equations represented in the graph.
Answer:
(4,0) and ( 0,-4)
Step-by-step explanation:
The solutions are the the graphs intersect
There are two points
(4,0) and ( 0,-4)
-0.03x^2+1.53x=0
how would i go about solving for x?
Answer:
x = 0, 51
Step-by-step explanation:
→First, you need to factor out the GCF (Greatest Common Factor), which is -0.03x, like so:
-0.03x (x - 51) = 0
→Remove the -0.03 by divide it by both sides:
x(x - 51) = 0
→Separate each, like so:
x = 0
x - 51 = 0
→Solve for x:
x - 51 = 0
x = 51
Your solutions are, 0 and 51.
Solve the inequality
6(x-3)/8≥3
Answer:
x≥7
Step-by-step explanation:
6(x-3)/8≥3
Multiply each side by 8/6
8/6*6(x-3)/8≥3*8/6
(x-3)≥4
Add 3 to each side
x-3+3≥4+3
x≥7
After selling tickets to a play, Jonah realizes that he has twice as many one dollar bills as he has five dollar bills, and he also has 6 less ten dollar bills as he has one dollar bills. If his total money with these bills is $237, how many five dollar bills does he have
Answer:
He had 11 five dollar bills.
Step-by-step explanation:
Since Jonah realized that he had twice as many one dollar bills as he has five dollars bills, and 6 less ten dollar bills as he has one dollar bills, if we say that the number of one dollar bills he has is "x", then the number of five dollar bills and ten dollars bills will be:
five dollar bills = [tex]\frac{x}{2}[/tex]
ten dollar bills = [tex]x - 6[/tex]
Since the total money he had was [tex]237[/tex], then the sum of all the bills he had multiplied by it's respective values must be equal to that:
[tex]\text{(one dollar bills)} + 5*\text{(five dollar bills)} + 10*\text{(ten dollar bills)} = 237\\x + 5*\frac{x}{2} + 10*(x - 6) = 237\\x +\frac{5*x}{2} + 10*x - 60 = 237\\11*x + \frac{5*x}{2} = 237 + 60\\\frac{22*x + 5*x}{2} = 297\\27*x = 297*2\\x = \frac{594}{27} = 22[/tex]
Therefore he had 11 five dollar bills.
1. The ages of five children in a family are 3,3,5,8, and 18. Which statement is true for this group of data?
1) mode > mean
2) mean > median
3) median = mode
4) median > mean
Answer:3
Step-by-step explanation:
using mental math find 4.623 x 1000. Please explain how you got your answer
Answer:
4 623
Step-by-step explanation:
4.623 x 1000
When multiplying by a positive power of 10, move the decimal by the number of zeros
Since we have 3 zeros, move the decimal 3 places to the right
4 623
Answer:
You can easily figure that
[tex]4.623 = 4623 \cdot 10^{-3}[/tex]
[tex]1000 = 1\cdot 10^3[/tex]
The multiplication: [tex](4623 \cdot 10^{-3}) \cdot (10^3)=4623[/tex]
what is an irrational number
Answer:
Some numbers cannot be written as a ratio of two integers
Step-by-step explanation:
Answer:
An irrational number is a number that can not be written as a simple fraction or be expressed as the quotient of two integers.
Integer : (A whole number that is not a fraction).
Step-by-step explanation:
When six is subtracted from five times a number, the result is 9
Given that, when six is subtracted from five times a number, the result is 9. The number is 3.
What is the number?Given that, when six is subtracted from five times a number, the result is 9.
Let the number be y, such that;
(5 × y) - 6 = 9
Next, we solve for y
(5 × y) - 6 = 9
5y - 6 = 9
5y = 6 + 9
5y = 15
y = 15 / 5
y = 3
Given that, when six is subtracted from five times a number, the result is 9. The number is 3.
Learn more word problems here: brainly.com/question/2610134
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A cell phone plan costs $200 to start. Then there is a $50 charge each month. Write an equation relating the cost, y, and then number of months, x.
Answer:
y = 200 + 50x
Step-by-step explanation:
y = cost
x = number of months
The cost is equal to the cost to open the plan plus the monthly fee times the number of months
y = 200 + 50x
Answer:
y = 200 + 50x
Step-by-step explanation:
the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)
hope this helps (/o.o)/<3
Which has the better value?? Plz help!!!!!!!!!!!
A) One half-kilogram of bulk sunflower seeds costing 70¢ per 100 grams
or
B) A 500-milligram bag of prepackaged seeds costing $3.95
Answer:
choice A is better value
Step-by-step explanation:
1/2 Kg = 500 grams
0.7* 5=3.5 dollars for sunflower seeds
prepackaged seeds : 500 mg= 0.5 grams
so 0.5 grams cost 3.95 dollars
