What is the value of the discriminant, b2
about the number of real solutions the equation has?
4ac, for the quadratic equation 0 x^2 - 4x + 5, and what does it mean
about the number of real solutions the equation has ?
The discriminant is -4 , so the 2 equation has 2 real solutions.
The discriminant is -4, so the equation has no real solutions.
The discriminant is 35, so the 2 equation has 2 real solutions
The discriminant is 35 , so the equation has no real solutions.
Answer: Choice B
Discriminant = -4; no real solutions
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Explanation:
The given quadratic is x^2-4x+5, which is the same as 1x^2-4x+5
We see that
a = 1
b = -4
c = 5
The discriminant is
d = b^2 - 4ac
d = (-4)^2 - 4(1)(5)
d = 16 - 20
d = -4
The discriminant is -4. The negative discriminant means that we have no real solutions. Instead, the two solutions are nonreal complex values in the form [tex]a+bi[/tex] where [tex]i = \sqrt{-1}[/tex]
Answer:
The discriminant is -4, so the equation has no real solutions.
Step-by-step explanation:
The discriminant of the quadratic polynomial [tex]ax^2 + bx + c[/tex] with [tex]a\not= 0[/tex] is:
[tex]\Delta = b^2 -4ac[/tex]
So our variables are:
[tex]a = 1[/tex]
[tex]b = -4[/tex]
[tex]c = 5[/tex]
Replacing in the formula for find the discriminant we have:
[tex]4^2 - 4(1)(5) = 16 -20 = -4[/tex]
Now if you remember the quadratic formula is the next
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The discriminant appear inside a square root that's meaning that is impossible have negative values inside an even root (in the real numbers).
If we try to find the square root of negative 4 that's meaning find a number that multiply by itself give me -4.
[tex]2 \cdot 2 = 4\\-2 \cdot -2 = 4[/tex]
How you can see is impossible get the solution of a negative base (the base is the number inside the root) when is an even root. In a general case this would be of the next form:
[tex]\sqrt[2n]{-a} = \text{not found}[/tex]
For this we can assure that doesn't exist solutions in the real numbers, so the equation has no real solutions.
simplify this addition x+(-x)+r
the greatest common factor of 12x^2y^3 and 24xy^2 is
Answer: (12xy^2)
Step-by-step explanation:
12x^2y^3
(12xy^2)*(xy)
24xy^2
(12xy^2)*(2)
The greatest common factor of the expressions 12x²y³ and 24xy² will be 12xy².
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expressions are given below.
12x²y³ and 24xy²
The factor of the expression 12x²y³ is given as,
12x²y³ = 12 × x × x × y² × y
The factor of the expression 24xy² is given as,
24xy² = 2 × 12 × x × y²
The common factors in both expressions are 12, x, and y². Then the greatest common factor will be given as,
⇒ 12 × x × y²
⇒ 12xy²
The best normal component of the articulations 12x²y³ and 24xy² will be 12xy².
More about the greatest common factor link is given below.
https://brainly.com/question/11221202
#SPJ2
Easy question for some points 2x2-6+4
Answer:
2
Step-by-step explanation:
2 x 2 - 6 + 4
4 - 6 +4
4 - 2
2
Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.
(help with the circled ones)
Answer:
the answer for (9squared divided by 3) - ( 3 x 5 ) = 12
Step-by-step explanation:
(9squared divided by 3) - ( 3 x 5 ) = 12
9x9 = 81
81 ÷ 3 = 27
27 - (3x5)
3 x 5 = 15
27 - 15 = 12
so it goes in the 12 box
4squared - ( 2 x 3 )
4squared = 4 x 4
4 x 4 = 16
16 - (2 x 3)
2 x 3 = 6
16 - 6 = 10
so it goes in the 10 box
solving systems of equations in three variables
Answer:
Option B: (x= -8, y=10, z=-6)
Step-by-step explanation:
2x + 4y + 3z = 6 ... eq.(1)
5x + 8y + 6z = 4 ... eq.(2)
4x + 5y + 2z = 6 ... eq.(3)
From eq.(1),
2x= 6 - 4y - 3z
x= (6-4y-3z)/2 ... eq.(4)
Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)
In eq.(2),
5[(6-4y-3z)/2] +8y +6z =4
Multiplying through by 2
5(6-4y-3z) + 16y + 12z = 8
30-20y-15z+16y+12z = 8
22= 4y + 3z ... eq(5)
In eq.(3),
4[(6-4y-3z)/2] +5y +2z = 6
2(6-4y-3z) +5y + 2z =6
12-8y-6z + 5y +2z = 6
6= 3y + 4z ... eq.(6)
Multiplying eq.(5) and eq.(6) by 3 & 4 respectively
66=12y + 9z ... eq(8)
24=12y + 16z ... eq(9)
Subtracting eq(8) from eq(9)
42= -7z
z= -42/7
z = -6
Putting z as -6 in eq.(5)
22= 4y + 3(-6)
22= 4y -18
4y = 40
y = 40/4
y = 10
Putting y as 10 and z as -6 in eq(4)
x = [6 - 4(10) - 3(-6)]/2
x = (6 - 40 - 18)/2
x = -16/2
x = -8
x= -8, y= 10 , z= -6
What is f(-1)?
PLEASE HELP ASAP
Answer:
3
Step-by-step explanation:
so we know that this question is asking for the y value when x is equal to -1, so according to the graph its 3
"find 48 divided by 2 using the distributive property"
Step-by-step explanation:
48 ÷ 2 = ...
= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)
= 6 + 6 + 6 + 6
= 12 + 12
= 24
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
A. 1/5
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
y_2 = y-coordinate of point 2y_1 = y-coordinate of point 1x_2 = x-coordinate of point 2x_1 = x-coordinate of point 12. (Solving)
[tex]\frac{(3)-(2)}{(4)-(-1)}[/tex] [tex]\frac{1}{4+1}[/tex] [tex]\frac{1}{5}[/tex]Therefore, the answer is A. 1/5.
[tex]\huge \bf༆ Answer ༄[/tex]
Consider two points (-1 , 2) and (4 , 3)
Slope (m) of the graph is : -
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf\dfrac{3 - 2}{4 - ( - 1)} [/tex][tex] \sf \dfrac{1}{4 + 1} [/tex][tex] \sf\dfrac{1}{5} [/tex][tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
do u mind help me pls?
2. perpendicular, parallel, perpendicular, neither, parallel
3. A
4. B
Not sure on this. (Im really bad at math)
Answer:
13. C
14. B
Step-by-step explanation:
yeah-ya........... right?
please help i really need it.
change the subject of the formula to x
x/6 − 5 = w
Step-by-step explanation:
x/6=w+5
x=6(w+5)
x=6w+30.
hope this helps you.
The value of x is x = 6w + 30
Data;
[tex]\frac{x}{6} - 5 = w[/tex]Subject of FormulaThis is a mathematical terms used to represent a value from an entire equation.
In the given equation, we are given a value required to make x the subject of formula
Step 1
Add 5 to both sides of the equation
[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]
Step 2
Cross multiply both sides
[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]
From the calculations above, the value of x is x = 6w + 30
Learn more on subject of formula here;
https://brainly.com/question/790938
Help I need to know I only have 15 min
What does x equal in x/2=-5
Answer:
x=10. hope this helps
Step-by-step explanation:
The circumference of the planet Jupiter is approximately 2.7 x 109 miles, while the circumference of the Moon is 6.75 x 10° miles. How many times longer is the circumference of Jupiter than the circumference of the Moon?
Answer:
1738 kilometers
Step-by-step explanation:
5/8 divided by 3/5=????????????????????????????
Answer:
0.15
Step-by-step explanation:
Answer:
1 1/24
Step-by-step explanation:
Pls give brainly if right :) also not 11 its 1u 1/24
which of the following is the reciprocal of 5
Answer:
C
Step-by-step explanation:
The reciprocal is always the number flipped over.
E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9
Answer:
C. 1/5
Step-by-step explanation:
Help algebra 2 please
Answer:
it should be C I guess.
Im sorry if it is wrong
Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width
Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.
Width = wLength = w + 16The calculation will go thus:
Perimeter = 2l + 2w
240 = 2(w + 16) + 2w
240 = 2w + 32 + 2w
240 = 4w + 32
4w = 240 - 32
4w = 208
w = 208/4 = 52
Therefore, the length will be:
= w + 16 = 52 + 16 = 68
Read related link on:
https://brainly.com/question/25748983
PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?
Answer:
Its not always the same, 45 dollars
Step-by-step explanation:
Here is why its not always the same:
12/2 = 6 dollars/pound
30/6 = 5 dollars/pound
35/7 = 5 dollars/pound
we can see that they are not the same price as they vary.
For 9 pounds we can assume that the price would continue to be 5 dollars/pound:
x/5 = 9
x=5*9
x= 45
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Please help ‐19 ‐ 7( ‐17z + 13)
Answer: 119z − 110
Step-by-step explanation:
Find the surface area of each prism
Answer:
3. SA = 876 [tex]in^{2}[/tex]
4. SA = 161 [tex]ft^{2}[/tex]
Step-by-step explanation:
Number 3.
To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
To find side lengths:
Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is 8 in. Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.
Now we know all the (needed) side lengths.
To find the Surface Area:
Total SA = (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))
= 312 + 288 + 120 + 2 x (54 + 24) = 720 + (2 x 78)
= 876 [tex]in^{2}[/tex]
Number 4.
Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.
To find the Surface Area:
Total SA = 2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)
= 80 + 25 + 56
= 161 [tex]ft^{2}[/tex]
Solve for z.
5.8 + 1 = z
Answer:
5.8 + 1 = z
6.8
Step-by-step explanation:
There are no variables in this equation. So you just add 5.8 + 1
Answer:
5.8+1=6.8
Step-by-step explanation:
'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:
5.80
+1.00
_____
6.80
or 6.8
6.8=z
Note: The zero after the numbers does not change the answer.
Hope this helped! :)
if 9^x = 1/27, find the value of x
[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]
Please answer this question
Answer:
12 12 18 1816 2888
Step-by-step explanation:
Just add on top and subtract on bottom
what is 3(a+b)-2(a-b)
Answer:
a + b
Step-by-step explanation:
3(a+b)-2(a-b)
=> 3a + 3b - 2a - 2b
=> a + b
Therefore, a + b is our answer
Answer:
a + 5b
Step-by-step explanation:
3(a + b) - 2(a - b) ← distribute both parenthesis
= 3a + 3b - 2a + 2b ← collect like terms
= a + 5b
What pattern did you notice in Problem 1(a)? How can this strategy help you check your work with
nines facts?
Answer:
So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.
Enter the percent as a fraction. Then enter the fraction in simplest form.
Answer:
1/25
Step-by-step explanation:
Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25
why (0.0) (3.4) (6.8) (6,12) not a function
Answer:
Step-by-step explanation:
Look at the first elements of the four points: {0, 3, 6, 6}. The element 6 appears twice and is associated with two different second elements: {8, 12}. That tells us immediately that this is not a function.
[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly
[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜