Roots x1, x2 = -3/2, -1/2; sum of roots -2, product of roots 3/8;
The sum of roots is what?
A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.
based on the information provided;
a detailed explanation:
Sum of roots= -b/a
Sum of roots of the equation
⇒ -8/4 = -2
Product of roots
Product of roots of the equation
⇒ 3/8
Roots of the equation 4x²+8x+3
4x²+8x+3 = (2x+3)(2x+1) = 0
⇒ 2x+3 = 0 ⇒ 2x+1 = 0
⇒ 2x = -3 ⇒ 2x = -1
⇒ x₁ = -3/2 ⇒ x₂ = -1/2
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what is the interest of rs 2500 for 5 years at the rate of 2 paisa per 2 months of rs 2?
Answer:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year,
then, solving our equation
I = 10000 × 0.03875 × 5 = 1937.5
I = $ 1,937.50
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 3.875% per year
for 5 years is $ 1,937.50.
Step-by-step explanation:
9x-5x=-12 help pleaseeeeeeee
Answer:
x = -3
Step-by-step explanation:
I assume we're solving for x.
9x -5x = -12
Combine like terms.
4x = -12
Divide both sides by 4.
x = -3
The nearest star to us, Alpha Centauri, is 4.3 light years away. A light year is 5, 865,696,000,000 miles. How far away is Alpha Centauri in miles? Express your a swer in scientific notation?
Answer:
Step-by-step explanation: 18,612,464,000,000 or 1.8612464 × 10^13
Please help me 10 Stars granted image attached below
Answer:
(-1/2,0)
Step-by-step explanation:
Aiden has 5 pairs of nike shoes, 3 pairs of adidas shoes and 2 pairs of reebook shoes. what is the ratio of nike shoes to adidas?
5+3+2=10
Answer: 10:3
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
answer:
48 miles per hour
The length of a new rectangular playing field is 2 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 574 yards, what are its dimensions?
**"38;%7$८$83;%$87;$8$8#7#*28$८$$8$-$7!%8%-3८3-2"2
solve. |x − 3| − 10 = -5
HELP
Answer: 8
Step-by-step explanation: 8 minus 3 would be 5, subtracting 10 would then get to -5 (simplified)
The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 30 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning?
30 ÷ 60 = .5 mile per minute
the diameter of the wheel is 26 inches
circule perimeter = 2 pi r
r = 1/2 d = 13 inch
circule perimeter = 81.7 inches
half mile = 31680 inch
31680 ÷ 81.7 = 387. 76 revolutions per minute
x-y/m= x
Solve for y
[tex]x - \frac{y}{m} = x \\ - \frac{y}{m} = x - x \\ \frac{ - y}{m} = 0 \\ - y = 0 \\ y = 0[/tex]
the sum of a number and 5 is between 0 and 12. write the compound inequality and solve
The inequality will be given by 0 < x + 5 < 12 or -5 < x < 7 which meant value of number x will lie between -5 and 7.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
It is given that the sum of a number and 5 is between 0 and 12. This can be represented by an inequality.
Let's assume the number is x.
So , the sum of number x and 5 will be :
= x + 5
Also , given that, this value is between 0 and 12 .
This meant the inequality will be given by :
0 < x + 5 < 12
Let's subtract 5 from every term of inequality.
0 - 5 < x + 5 - 5 < 12 - 5
or
-5 < x < 7
The value of x lies between -5 and 7.
Therefore , the inequality will be given by 0 < x + 5 < 12 or -5 < x < 7 which meant value of number x will lie between -5 and 7.
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Use properties of exponents to write an equivalent expression. Write the correct exponent for each box.
(6 to the 7th power over 6 to the 5th power)
The correct exponent is 6².
A number's exponent indicates how many times to multiply it. Exponents might also be called powers or indices.
The base number (b) and the exponent (or power) number are both used in the mathematical operation known as exponentiation, abbreviated as bⁿ . It is pronounced "b (raised) to the (power of) n" in English. Exponentiation, where n is a positive integer, is the process of repeatedly multiplying bases; the result is known as bⁿ.
Subtract the exponent of the denominator from the exponent of the numerator to determine the quotient of two numbers with the same base. The (aᵇ)ⁿ = aⁿᵇ exponent power rule applies. Multiply the exponent by the power to raise a number with that exponent to that power.
The given expression is [tex]\frac{6\times6\times6\times6\times6\times6\times6}{6\times6\times6\times6\times6} = \frac{6^7}{6^5}[/tex]
Now we will use the properties of exponents :
6⁷⁻⁵=6²
Hence the required exponent is 6².
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what is 3 1/10s = 6 1/5
The solution to the given equality is of s = 2.
What is the equation and what is it's solution?The equation for this problem is given by:
(3 and 1/10) s = 6 and 1/5.
The mixed numbers as decimals are given as follows:
3 and 1/10 = 3 + 1/10 = 3 + 0.1 = 3.1.6 and 1/5 = 6 + 1/5 = 6 + 0.2 = 6.2.Hence the equation with decimal numbers is given by:
3.1s = 6.2
s = 6.2/3.1
s = 2.
The solution to the given equality is of s = 2.
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is 1.625 greater or less than 1 3/4?
Answer:
less
Step-by-step explanation:
1 3/4 is equal 1.75 so 1.625 is less than 1 3/4
Answer:
I think it's greater than but it could be less than
Step-by-step explanation:
Slope what is the slope
19.
Two trains leave New York traveling in opposite directions. The faster train travels 10mph faster than
the slower train. Find the speed of each train if the trains are 270 miles apart after 3 hours.
Answer:
One train is traveling at 40 mph and the other train is traveling at 50 mph
Step-by-step explanation:
Distance = rate times time
If I add the two rates and times together, I will get the total distance
Train 1
Rate x + 10
Time 3
Train 2
Rate x
Time x
3(x + 10) + 3x = 270 Distribute the 3
3x + 30 + 3x = 270 Combine like terms
6x + 30 = 270 Subtract 30 from both sides of the equation
6x = 240 Divide both sides by 6
x = 40 This is the slower train. Add 10 for the faster train.
A teacher is handing out markers to students. She has only 100 markers to hand out to her 18 students. Write and solve an inequality to represent the number of markers each student will receive. Assume each person gets the same number of markers. Use x as your variable.
Answer:
100 >/ 18x = ~5 markers
Step-by-step explanation:
The teacher can only hand out 100 markers or less. Not more. We can't get to exactly 100 with an interger as our answer. I got 18x from the fact that there are 18 students. X represents how many markers each one will get. X equals 5.555 repeating, but you can't have a decimal amount of markers, but you can't round up. That would mean that the teacher gave out 108 markers. That's not possible.
Donna is going to swim 17 laps. She has completed 8 laps. What fraction of laps has she completed?
What fraction of her swim remains?
What fraction of her swim has she completed?
What fraction of her swim remains?
Answer:
She has completed [tex]\frac{8}{17}[/tex] laps.
She has [tex]\frac{9}{17}[/tex] laps remaining
Hope that helps
FInd the equation of the line that passes through (1,3) and is perpendicular to y=1-2x. Leave your answer in the form ax+by=c Where a,b and c are integers.
Answer:
[tex]y = \frac{x}2 + 2.5[/tex]
Step-by-step explanation:
Step 1) Finding the slope
The line is perpendicular to [tex]y = 1 - 2x[/tex], therefore, its slope is equal to the negative invert of [tex]y[/tex]'s slope.
[tex]y[/tex]'s slope is -2 (the coefficient to [tex]x[/tex]), and, therefore, the line's slope is [tex]m = [-(-2)]^{-1} = 2^{-1} = \frac12[/tex]
Step 2) Building the Equation
We can now substitute the slope, along with the given point's coordinates, into the formula [tex]y - y_1 = m(x - x_1)[/tex] :
[tex]y - 3 = \frac12(x - 1)\\\to y - 3 = \frac{x}2 - \frac12\\\to y = \frac{x}2 + 2.5[/tex]
16051 to the nearest thousand
Answer:
16,000
Step-by-step explanation:
Because,
I know it :)
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
4,12,36
Answer:
Step-by-step explanation:
this is clearly not a linear sequence (the terms don't have the same difference).
so, it has to be a geometric sequence.
the common ratio is r.
s2 = s1 × r
16 = 64 × r
r = 16/64 = 1/4
control :
s3 = s2×r
4 = 16 × 1/4 = 4
correct.
Step-by-step explanation:
What’s the x intercept of -2x+5y=-30
Answer:(15,0)
Step-by-step explanation:
Which number sentence is true?A.-3 + 5 = -8B.-3 – (-5) = -8C.3 – 5 = 2D.3 – (-5) = 8
Answer:
D) 3 - (-5) = 8
Step-by-step explanation:
A. [tex]-3 + 5 \to 5 - 3 \to 2[/tex]
B. [tex]-3 - (-5) \to -3 + 5 \to 5 - 3 \to 2[/tex]
C. [tex]3 - 5 \to -2[/tex]
D. [tex]3 - (-5) \to 3 + 5 \to 8[/tex]
yeah. I'm a need help due tomorrow morning
Answer:
Step-by-step explanation:
I CHECKED UR OTHER ONE CHECK IT PETER :>
Answer:
Ranked least to greatest:
l 125 l
l -127 l
l -132 l
(the absolute value of 125, the absolute value of -127, and the absolute value of -132)
Step-by-step explanation:
Absolute value are the bars around a number that essentially is the distance of that number from ZERO. An easy way to visualize this is through a numberline. Therefore, even negative numbers under the absolute value of, become positive since the distance from zero can't be negative.
Looking at the problem, descending means going down in this case it symbolizes the negative.
So putting absolute value bars around each number we know that the absolute value of 125 is 125.. The absolute value of -132 is 132. The absolute value of -127 is 127.
Ordered from least to greatest we get: 125, 127, 132.
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A child is 40 inches tall at age 6. For the next few years, the child grows by 2
inches per year. Explain why the child's height after age 6 is a linear function of his age. Identify the
growth rate and initial value. Using t for time in years since age 6 and H for height in inches, find a
formula for H as a linear function of t.
Answer:
H(t) = 43in + (2in/year)*t.
Step-by-step explanation:
im right
I will give brainlist
One third times the difference of thirty and a variable is three fourths.
one third times the quantity 30 minus y equals three fourths
one third times the quantity y minus 30 equals three fourths
one third times 30 minus y equals three fourths
one third times y minus 30 equals three fourths
It should be noted that one third times the difference of thirty and a variable is three fourths will be D. one third times y minus 30 equals three fourths
How to illustrate the information?It should be noted that an expression simply shows that relationship between the numbers and the variables that are explained.
In this case, it should be noted that one third times the difference of thirty and a variable is three fourths will be one third times y minus 30 equals three fourths
Therefore, the appropriate explanation that first the information illustrated is D.
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Answer:
The guy above me is correct its D :)
Step-by-step explanation:
please don't delete this again :)
have a goody day
ma'am or sir
Three-tenths of the books in the school library are how-to books. Of these, 0.2 deal with carpentry and 0.4 deal with electronics. Interpret what the figure 0.12 represents in this context. (1 point)
the fraction of books in the library that are how-to books on carpentry
the fraction of books in the library that are how-to books
the fraction of the how-to books that are about elther carpentry or electronics
the fraction of the books in the library that are how-to books on electronics
The figure 0.12 represents in this context the D. the fraction of the books in the library that are how-to books on electronics.
How to illustrate the information?From the information, three-tenths of the books in the school library are how-to books and 0.2 deal with carpentry and 0.4 deal with electronics.
Therefore, the figure 0.12 represents in this context the fraction of the books in the library that are how-to books on electronics.
This was calculated as:
= 0.4 × 0.3
= 0.12
Therefore, the correct option is D.
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Determine an equation for each
parallel line described.
What is the equation of a line
parallel to y = -5x + 3 that
passes through (3, 1)?
Answer:
y = -5x + 16
Step-by-step explanation:
Parallel lines have the same slope. The slope is -5. We need to find the y-intercept. We will use the slope(-5) the x (3) and the y (1) to find this.
y = mx + b Plug in what we know
1 = -5(3) + b
1 = -15 + b Add 15 to both sides
16 = b
y = mx + b
y = -5x + 16
chapter 8
Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Given the radius in the diagram, the area of the circle to the nearest tenth is 116.9m².
What is the area of the given circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi.
Given the data in the question;
Radius of the circle r = 6.1mArea A = ?Plug the given value into the area of circle formula and solve for A.
A = πr²
A = π × 37.21m²
A = 116.9m²
Given the radius in the diagram, the area of the circle to the nearest tenth is 116.9m².
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What is the perimeter, in feet, of a rectangle whose length is four times its width
which is 8 feet?