The given equation gives two solution. We can find solution by using quadratic formula or discriminant.
How do you find the number of solutions?A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R. So a and b ≠ 0. When we consider a system of linear equations we can find the number of solutions by comparing the coefficients of the variables of the equations.
How do you find how many solutions are in a quadratic equation?
if the discriminant is positive. Then the quadratic equation has two solutions.
if the discriminant is equal. Then the quadratic equation has one solution.
if the discriminant is negative. Then the quadratic equation has no solution.
Here we have
a=5 b=-7 c=4
Disc= [tex]b^2[/tex]-4ac
Disc= [tex](-7)^2[/tex]-4(5)(4)
Disc= 49+80
=129
Disc >0 it has two solutions.
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Complete question is: How many solutions are there for 5x^2+7x-4=0?
a) 0
b) 1
c) 2
d) 3
simplify when x=4 4x/2x^2
Answer:
1/2
Step-by-step explanation:
Did you mean "evaluate?"
Write out the expression
4x/2x^2
and simplify it:
4x 2
---------- = ---------- after reduction
2x^2 x
Now substitute 4 for x. We obtain:
2/4 = 1/2
Solve the inequality. Graph the solution.
-1/3h > or equal to 8
(step by step equation)
We can solve the inequality to get:
h ≤ -3
And its graph can be seen below.
How to solve the inequality?Here we have the following inequality:
-(1/3)*h ≥ 8
To solve the inequality, we need to isolate h.
So we can multiply both sides by -3 (notice that this will change the sign of the inequality symbol)
So we will get:
-3*(-1/3)*h ≤ -3*h
h ≤ -3
Now to graph this, we need to draw a closed circle at -3, and draw an arrow that gose to the left.
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Please help I will give you brainiest!!!
Find the x- and y-intercepts if the graph of -9x+2y=14. State your answers as whole numbers or as improper fractions in simplest form.
9514 1404 393
Answer:
x-intercept: -14/9
y-intercept: 7
Step-by-step explanation:
This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.
-9x = 14 . . . . . set y=0
x = -14/9 . . . . divide by -9
__
To find the y-intercept, set x=0 and divide both sides by the coefficient of y.
2y = 14 . . . . set x=0
y = 7 . . . . . . divide by 2
The x-intercept is -14/9; the y-intercept is 7.
Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.
Popcorn Sales
Popcorn Cost ($)
Number Sold
Over w Weeks
Buttered 11 8w+9
Caramel 11 6w−1
After 12 weeks, how much more will he have made in sales of buttered popcorn than the sales of caramel popcorn?
In the transaction, he will receive $374 more in sales of buttered popcorn than caramel popcorn.
What are mathematical operations?An operation, often known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
Given, Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.
Popcorn Sales Popcorn Cost ($) Number Sold Over w Weeks
Buttered 11 8w+9
Caramel 11 6w−1
After 12 weeks of total buttered popcorn, he will make the sale
= $11 * (8*12 + 9)
= 11 * (96 + 9)
= $1,155
After 12 weeks of total caramel popcorn, he will make the sale
= $11 * (6*12 - 1)
= $11* (71)
=$781
In the sale, he will get more sales in buttered popcorn than sales in caramel popcorn by 1,155 - 781 = $374
Therefore, He will make $374 more in sales of buttered popcorn than caramel popcorn during the sale.
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Please help meeeeeeeee
Answer:
24 units²
Step-by-step explanation:
Surface area of a cube = 6a² , where a = the side given
=> 6(2)²
=> 6(4)
=> 24 units²
Hope this helps!
Answer:
2(length) x 2(width) = 4(area of 1 square),
4(area of one square) x 6(there are six sides of a cube) = 24 squared
A line that includes the points (k,
–
4) and (5,
–
2) has a slope of
–
1. What is the value of k?
The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).
So we can substitute these values into the formula:
-1 = (-2 - (-4)) / (5 - k)
-1 = 2 / (5 - k)
-1 × (5 - k) = 2
-5 + k = 2
k = 2 + 5
k = 7
Therefore, the value of k is 7.
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Volleyball practice is h hours long. Debbie had 3 volleyball practices last week. Choose the expression that shows the number of hours of practice.
The number of hours of practice is 3 x h or 3h.
What is the number of hours of practice?In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.
Given:
Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.
Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.
The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.
Number of hours of practice
= hours of practice x number of practice
= 3 x h
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Write (−13)⋅(−13)⋅(−13)⋅(−13)⋅(−13) using exponents. Fastttttttttttttttttttttttttttttttt
Answer:
.l,´mfkf jh h
Step-by-step explanation:
Answer:
-13 to the fifth power.
sandwiches are being bought bye us--passive to active
x +96 > 12 solving inequalities
The solution to the inequality expression is x > -84
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
x +96 > 12
Subtract 96 from both sides of the inequality expression
So, we have the following representation
- 96 + x +96 > 12 - 96
Evaluate the like terms
x > -84
Hence, the solution is x > -84
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im homeschooled and someone asked me if I was in school and I said "yes" and he asked if I was in "7th period" I literally dont know what that means :)
There is no 7th period, so no you aren't in 7th period.
The volume of a cylinder is 24 cubic feet. The height is 6 feet.
Determine the radius of the cylinder. Use 3.14 for pi.
Answer:
1.13 ft
Step-by-step explanation:
use the equation then fill in the missing values. when you have your answer round to the nearest thousandths.
What is 2 point midpoint?
The 2-point midpoint formula is a method for finding the equation of a line that passes through the midpoint of two given points.
The formula for the 2-point midpoint is:
y - y1 = m(x - x1)Where (x1, y1) and (x2, y2) are the two given points, and m is the slope of the line.
The slope of line is calculated by (y2-y1)/(x2-x1)
By using the midpoint of two given points, the 2-point midpoint formula eliminates the need for calculating the y-intercept of the line, which can save time and effort. It is particularly useful when working with geometric figures or real-world applications that involve moving objects or changing data. It also helps in predicting the values of future point when we know the past point.
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how is a ball dropped from a roof interesting ?
Answer:
because it will bounce high and hit something.
Step-by-step explanation:
What is the value of the discriminant of the given equation 2x^2 4x 3?
The discriminant of the given quadratic equation 2x² - 4x + 3 = 0 is -8.
The standard form of quadratic equation is ax² + bx + c = 0
Compare the given equation with its standard form
a = 2, b = -4, c = 3
We know that
D = b² - 4ac
Substitute the values in the formula
D = (-4)² - 4(2)(3)
⇒ D = 16 - 24
⇒ D = -8
Since D < 0
Therefore, the given equation has no real roots.
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Help !!! Brainlisest
Answer:
(x, y ) → (x + 11, y - 11 )
Step-by-step explanation:
Consider the point U and its image U'
U (- 9, 1 ) → U' (2, - 10 )
This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and
- 10 - 1 = - 11 ↓ in the y- direction
This can be shown in the translation rule
(x, y ) → (x + 11, y - 11 )
What is the equation of the line in
point-slope form that passes through the
points (-1, 1) and (1, -2)?
Answer:
A) y-1=-3/2(x+1)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-1)/(1-(-1))
m=-3/(1+1)
m=-3/2
y-y1=m(x-x1)
y-1=-3/2(x-(-1))
y-1=-3/2(x+1)
Vaughn is calculating the volume of the cylinder below using the following work.
A cylinder with height of 24 centimeters and diameter of 5 centimeters.
What was Vaughn’s first error?
He confused the height and the diameter.
He squared 12 instead of 24.
He applied the exponent before multiplying 12 and 5.
He used the wrong units in his final answer.
Answer:
the answer is a) he was confused the height
Step-by-step explanation:
Answer:
(A)Step-by-step explanation:
(A) He confused the height and the diameter.
Rewrite 21/3 as a whole number
Answer:
7
Step-by-step explanation:
As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.
21/3 = 7
Is the area of an equilateral triangle is 196 root 3 cm square then each of its side is?
Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
What is triangle?
Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
What is polygons ?A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.
Here,
We must apply the mathematical procedure for computing an equilateral triangle's area.
An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.
[3/4 (a)2] cm2 is the equilateral triangle's surface area.
In light of the information mentioned in the query,
√3/4 × (a)² = 196√3
a²/4 = 196√3/√3
a²/4 = 196
a² = 196×4
a² = 784
a = √784
a = 28
In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.
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(PLEASE HELP)
Which expression is represented on the number line?
Answer:
F .0-(-8) I think so..........................
Answer:
F is represented on the number line
ILL BRAINLIEST YOU PLEASE HELP ME HOW DO I DRAW MY TRIANGLE
Step-by-step explanation:
I attached The photo of answer
-TheUnknownScientist
What is the product? 3a(8a - 6b)
24a² - 6b
24a² - 6ab
24a² - 18b²
24a² - 18ab
The product of expression is 24a² - 18ab.
What is Polynomial?A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.
We have,
3a( 8a - 6b)
Now, multiplying the expression as
= 3a(8a) - 3a(6b)
= 24a² - 18ab
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You Roll A Six-Sided Die Twice . What Is The Probability Of Rolling A 2 And Then A 6
A.1/3
B.1/6
C.1/12
D.1/36
Answer:
A
Step-by-step explanation:
mark me brainliest pls
Answer:
yo
Step-by-step explanation:
Uriah buys 5 reams of paper and 3 ink cartridges for $131. Yasmine buys 2 reams of paper and 5 ink cartridges for $174. How much does one ream of
paper cost? How much does one ink cartridge cost?
Answer:
uriah reams cost $26.2 and uriah's ink cost $43.6,for yasmine's reams it costs $87 and for the ink it costs $34.8
Step-by-step explanation:
hopefully it helps:)
Determine the period
I need the answer to this question please!
The equivalent expression of 5[tex]x^{3/2}[/tex] is 5√(x³). The correct option is last one.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression,
5[tex]x^{3/2}[/tex]
To find the equivalent expression:
We have to simplify the expression,
5[tex]x^{3.1/2}[/tex]
= 5(x³)[tex]){1/2}[/tex]
= 5√(x³)
The above expression is an equivalent expression.
Therefore, 5√(x³) is an equivalent expression.
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The product of two rational number is -9 . if one of the numbers is -12, find the other
Answer:
3
Step-by-step explanation:
because x + (-12) =-9
so x= -9 +12
x = 3
If juice boxes come in packs of 12 and we need to buy enough for 189 students. How many packs of juice boxes do we need to buy?
Answer:
16
Step-by-step explanation:
189/12=15.75
15.75packs for all 189 student,rounded up since we can’t buy0.75packs. So the answer is 16 packs
Answer:
its 12 ÷ 189=15 packs
Step-by-step explanation:
15 r15
circumference of the circle. if the radius is 7.1mm
Answer: C≈44.61mm
Step-by-step explanation: