Answer: Choice B
Discriminant = -4; no real solutions
===========================================================
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.
Evaluate 64^1/2x
10^-2
Give your answer as a fraction in its simplest form.
[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]
2.
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3 3
Step 3
x= 3
Step 4
Which step is the result of combining like terms?
A. Step 1
B. Step 2
C. Step 3
D. Step 4
Answer:
Step-by-step explanation:
Combining like terms occurs at this step:
3x - 6 + 6 = 3 + 6
Combining the - 6 + 6 =and 3 + 6 yields:
3x = 9
OABD is a sector of a circle.
Angle AOB = 80°.
The radius OB = 22 cm.
Work out:
the length OC
The area of triangle OAB
The area of the sector OABD
The area if the segment ABD
90
Step-by-step explanation:
because it has a parallel line
PLEASE HELP IT’S DUE TMR!!
4856
1.07
12.9
7.00
0.00199 (199)
0.000660 (660)
:)
y=6x-4 y=4x+2 substitution pls help plsplslsl
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: ( 3 , 14 )
Equation Form: x = 3 , y = 14
Step-by-step explanation:
Please help me, I’m stuck on this question.
Solve
3h/7 − 11 =2 23/28
Solve for h, and provide your answer.
Please include explanation and all your steps toward the answer
Thank you!
3h/7-11=2×23/28
h=25/2
can somebody help like rn
Answer:
4
Step-by-step explanation:
(25-18+5)/4=4
(insert the variables)
Patricia has $12 to spend at an arcade. The arcade charges $6 admission and $3 per hour to play as many games as she wants. Which inequality can be used to find any possible number of hours, X, Patricia can play games without spending more than $12
A) 6+3x < 12
B) 6-3x < 12
C)12<6+3x
D) 12 < 6-3x
***All of them have a line underneath the <****
Answer:
Step-by-step explanation
c
PLZ HELP ASAP! I GIVE BRAINLIEST AND POINTS!
please dont post links
Find the value of the monomial.
5x^3 for x = 0.5
Answer:
⁵/₈
Step-by-step explanation:
x = 0.5
5x³ = 5(¹/₂)³
5x³ = 5(¹/₈)
5x³ = ⁵/₈
The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter
Answer:
46 1/2 feet
Step-by-step explanation:
Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.
The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The length of the fence is [tex]12\frac{1}{2}[/tex] feet
[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2
the width of the fence is [tex]10\frac{3}{4}[/tex]
[tex]10\frac{3}{4}[/tex] is changed to improper fraction 43/4
Now we know that perimeter of rectangle =2(Length+width)
=2(25/2+43/4)
LCM of 2 and 4 is 4
=2(50+43)/4
=93/2
=46.5
Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
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[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly
Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36
The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).
The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.
Hint:
Every row will have 4 numbers, 1 in each bubble which will give us 100.
The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100The rest of the arrangement is shown in the figure 2 attached below. (See attachment).
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What are the values of m and n
Answer:
[tex]m=20°; n=45°[/tex]
Step-by-step explanation:
Ok, let's first look at the right triangle. It's a right triangle, and it's isosceles. It means the two small angles are both 45°. So we've found n. Finding m is a simple matter of noticing that the larger triangle is also isosceles, so the two angles both measure 45+m, and the final angle is 50. But since the total has to be 180 we can write that [tex](45+m)+(45+m) +50 = 180.\\2m+50 = 90 \rightarrow 2m=40 \rightarrow m=20[/tex]
Find the equation of a line parallel to y = -5x – 10 that passes through the point
(-5,0).
Answer:
8684787
Step-by-step explanation:
To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.
Answer: x = 200 km
Step-by-step explanation:
Distance(x) = Speed(s) x Time(t)
t is in hours
x=s*t
At 75km/h: 75*t = x
At 80km/h: 80*(t-(10/60)) = x [the -(10/60) is the 10 minutes saved, in hours]
We know the distance, x, is the same, so we can set these equal to each other:
75*t = 80*(t- (10/60))
75*t = 80*t - 13.3333
-5*t = -13.3333
t = 2 2/3 hours
Both situations should give the same distance with 2 2/3 and 2 2/3 - :
x = (75 km/hr) x ( 2 2/3 hr)= 200 km
x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km
Ginger exercised for 5 1/2 hours in 6 days.
Each day she stretched for 1/4 hour and then walked. How long did she walk each day?
Answer:
45 minutes
Step-by-step explanation:
Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk
[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]
Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.
[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]
Done.
(7.9×108)–(7.53×108)
put in scientfic notation
Answer:
3.996x10
Step-by-step explanation:
7.9x108 = 853.2
7.53×108 = 813.24
853.2-813.24=39.96
not sure how many sig figs there are supposed to be though
3.996x10 has 4 sig figs
Please solve for x. Possible answers are A. 3 B. 10 C. 28
Answer:
x=28
Step-by-step explanation:
So first slove for the right angle triangle
a²+b²=c²
a=12 and c=15
12²+b²=15²
144+b²=225
b²=225-144
b²=81
b=√81
b=9
so now that you know the top two sides add 10 due to the lenght given on the bottom
9+10+9=28
here are 8 cardsthere is a number on each of these 6 cards
Answer:
I don't knowStep-by-step explanation:
sorry I apologize
Can anyone solve the problem on the picture?
Quotient:
[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]
Remainder:
[tex]f(x) = 9x^2+68x+35[/tex]
By the remainder theorem,
[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]
Which is the remainder when f(x) is divided by (x+7)
6. What is the percent of increase from 10 to
12?
A. 20%
B. 25%
C. 30%
D. 33
33%
Answer:
A. 20%
Step-by-step explanation:
% Increase = 12−10/10x100
= 2/10x100
= 20%
Mark me as brilliant
Solve the equation for x.
x-8 = 2
Answer:
x=10
Step-by-step explanation:
19+1=x
what does x equal?
(hint: it's math and common sense)
Answer:
X equals 20
Step-by-step explanation:
19+1=x rearranged is X-19=1 and 20 minus 19 is 1 therefore 20 is the value of X.
Answer:
x = 20
Step-by-step explanation:
19 + 1 = 20
the perimeter of a school volleyball courts 177 feet and the length is twice the breath what are the denominations of the volleyball court
Answer: L = 59 feet, W = 29.5 feet
Step-by-step explanation:
Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court. We'll assume it is rectangular.
We know that the P of the rectangle is 2L+2W:
P = 2L+2W
We also are told that:
L = 2W
We can use this definition of L in the forst equation:
P = 2L+2W
P = 2*(2W)+2W
P = 6W
P = 177 feet
Therefore 177 ft = 6W, and
W = 29.5 feet
The total for the length is 177 - 2W, or (177 - 59) ft
2L = (177 - 59)
2L = 118
L = 59 feet
If a local tax rate is 4% and you are taxed on your $6000 purchase,
1)what is the tax?
2)What will final bill be?
Answer: Tax(240), Total cost(6240)
Step-by-step explanation:
6000 x .04 =240
240 +6000 = 6240
Solve the equation for y. Then find the value of y for each value of x.
2x - 5y = 11; x = -1,0, 1
Solve the equation for y.
y =
When x = -1, the value of y is
When x = 0, the value of y is
When x = 1, the value of y is
solve the following equations step by step
x + 7 = 4
[tex] \large \text{Answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
[tex]x - 7 = 4 \\ x - 7 + 7 = 4 + 7 \\ x = 4 + 7 \\ x = 11[/tex]
Since your answer is ' 11 '
♡ hope it was helpful for you ♡~
Answer:
Thank you for points
Step-by-step explanation:
Thank you
Please help me with this question.
Answer:
The answer would be 6.66666666667 to be exact or just 6.66.
-Herobrine
Brainliest will be appreciated thank you!
Answer:
6.6 or 6.66
Step-by-step explanation:
The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo
Answer:
51 adults and 193 children
Step-by-step explanation:
Number of children = c
Cost for c children = c*4 = 4c
Number of adults = a
Cost for a adults = 6a
Total people = 244
a + c = 244 ---------------(I)
a = 244 - c ----------(II)
Cost for 244 people = $ 1078
6a + 4c = 1078 -------------(III)
Substitute a = 244 - c in equation (III)
6*(244 - c) + 4c = 1078
1464 - 6c + 4c = 1078
1464 - 2c = 1078
-2c = 1078 - 1464
-2c = -386
c = -386/-2
c = 193
a = 244 - 193
a = 51
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?
Answer:
105
Step-by-step explanation:
1,000 divided by 3.5% is 35
35 x 3 is 105
Since you are just asking for just the interest and not the total the answer is 105
The interest that Amy should pay is $105.
Given that,
Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.Based on the above information, the calculation is as follows:
[tex]= 1000 \times 3.5\% \times 3[/tex]
= 105
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