So to find the number of solutions this quadratic equation has without actually solving the equation, we are going to be using the discriminant formula. Plug in the numbers and solve:
[tex]D=5^2-4*1*7\\D=25-28\\D=-3[/tex]
Now, here are the rules with discriminants:
D > 0; there are 2 real solutions in the equationD = 0; there is 1 real solution in the equationD < 0; there are no real solutions in the equationAnswer:Since -3 is less than 0, this means that there are 0 real solutions in this equation.
Answer:
0 real solutions in this equation.
In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. What is the population of the town in 2006? Round the answer to the nearest whole number.
Answer:
Step-by-step explanation:
Answer:
12,495 is the answer
Step-by-step explanation:
find the value of x.
a) 90
b) 158
c) 180
d) 9
Answer:
d) 9
Step-by-step explanation:
In a kite, the two shorter sides have to be equal.
Therefore
3x-5 = 22
Add 5 to each side
3x-5+5 = 22+5
3x = 27
Divide each side by 3
3x/3 = 27/3
x =9
Ms. Smith spent 7 hours driving from her home to Albany, a distance of 238 mi. Before noon, she averaged 32 mph. After noon she averaged 39 mph. Find the number of hours she traveled at each rate of speed.
HELP AND JUSTIFY UR THINKINg!!
We don't know anything about the x coordinate of point B other than it cannot be zero (which is what the slash through the equal sign means). You can pick any value you want for x as long as it's not zero. So I'm going to pick x = 1. Point B is located at (x,y) = (1,-7)
Find the slope of the line through A(-5,5) and B(1,-7). Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (-7-5)/(1 - (-5))
m = (-7-5)/(1 + 5)
m = (-12)/(6)
m = -2
Use this slope value with (x,y) = (-5,5) to find the y intercept b
y = mx+b
y = -2x + b
5 = -2(-5) + b
5 = 10 + b
5-10 = 10+b-10
-5 = b
b = -5
So y = mx+b turns into y = -2x-5 which is the equation of the line through the two points A(-5,5) and B(1,7). The graph is shown below.
note: this answer will be different if you pick a different x coordinate for point B
Maulik bought two horses at Rs 40,000 each. He sold one horse at 15% gain, but he to sell the second horse at a loss. If he had suffered a loss of Rs 3600 on the Whole transaction, find the selling price of the second horse.
Answer:
Answer is selling price of second horse is Rs 30400.
Step-by-step explanation:
Maulik bought one horse at Rs 40000 and sold it with a gain of 15%
So the selling price of one horse will be 40000+15% of 40000
= 40000+6000
= Rs 46000
Second horse is costing Rs 40000 and had suffered a loss of Rs 3600 on selling both so selling price of both will be = 40000×2-3600
= 80000-3600
= 76400
Now selling price of second horse will be selling price of both - selling price of first = 76400-46000 = Rs 30400
Answer:
The selling price of the second horse is Rs 30,400.
Step-by-step explanation:
Cost Price of first horse([tex]CP_{1}[/tex])= Rs. 40,000
Cost Price of second horse([tex]CP_{2}[/tex])= Rs. 40,000
Total cost price=[tex]CP_{1}+CP_{2}[/tex]=Rs (40,000+40,000)=Rs 80,000
First horse is sold at 15% gain.
This means selling price of first horse([tex]SP_{1}[/tex])= [tex]\dfrac{115}{100} \times40000[/tex]
= Rs. 46,000
also total there is a loss of Rs 3600
selling price of both the horses(SP)=80000-3600=Rs 76400
now, [tex]SP=SP_{1}+SP_{2}[/tex]
where [tex]SP_{2}[/tex] is the selling price of the second horse.
[tex]SP_{2}=SP-SP_{1}[/tex]
[tex]SP_{2}=76400-46000[/tex]
[tex]SP_{2}=30400[/tex]
Hence the selling price of the second horse is Rs 30,400.
What is the equation of the height of a roller coaster that is 30 feet above the ground, is in a shape of a half circle and the general form of a circle with the center at the origin is x2 +y2 = r2?
Answer: [tex]\bold{y = \sqrt{900-x^2}}[/tex]
Step-by-step explanation:
The general form of a circle is: (x - h)² + (y - k)² = r² ; where
(h, k) is the centerr is the radiusSince the roller coaster is centered at the origin, then (h, k) = (0, 0)
Since the height of the roller coaster is 30, then radius (r) = 0
Equation of the circle is: (x - 0)² + (y - k)² = 30²
⇒ x² + y² = 900
To find the equation of the semicircle, solve for "y"
x² + y² = 900
y² = 900 - x²
[tex]\sqrt{y^2}=\sqrt{900-x^2}[/tex]
[tex]y = \pm\sqrt{900-x^2}[/tex]
Since we are looking for the top half of the semicircle (because it is above ground), then use the positive root: [tex]y = \sqrt{900-x^2}[/tex]
Answer:
x^2+y^2=900Step-by-step explanation:
1.Write the equation that models the height of the roller coaster.
x^2+y^2=30^2
2.Start by writing the equation of the circle. (Recall that the general form of a circle with the center at the origin is x2 + y2 = r2. (10 points)
x^2+y^2=900
3.Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root. (10 points)
y= √(900-x^2)
You receive two job offers. One offers a straight commission of 6% of sales. The other offers a salary of $500 per week plus 3% of sales. How much would you have to sell per week in order for the straight commission job offer to be better? Use Gaussian elimination
Answer: $16, 666.67
Step-by-step explanation:
Job 1: 0.06x
Job 2: 0.03x + 500
0.06x > 0.03x + 500
-0.03x -0.03x
0.03x > 500
÷0.03 ÷0.03
[tex]x > \dfrac{50000}{3}[/tex]
x > 16,666.67 rounded to the nearest penny
The zoo has 218 animals in the outdoor exhibits and 454 animals in the indoor exhibits. Estimate how many animals the zoo has by rounding each number to the nearest tenth.
Answer:
670 animals
Step-by-step explanation:
First, round both numbers to the nearest ten. Remember that the numbers 4 and under round down (e.g. 143 = 140) and the numbers 5 and above round up (e.g. 145 = 150).
218 = rounds up = 220
454 = rounds down = 450
Finally, add the rounded numbers together.
220 + 450 = 670
The zoo has approximately 670 animals.
Final answer:
To estimate the total number of animals at the zoo, round the number of animals in the outdoor and indoor exhibits to the nearest tenth and add them together for the estimation. The estimated total number of animals at the zoo is 670
Explanation:
The zoo has 220 animals in the outdoor exhibits and 450 animals in the indoor exhibits.
To estimate the total number of animals, you need to round each number to the nearest tenth:
Round 218 to the nearest tenth: 220
Round 454 to the nearest tenth: 450
By rounding, the estimated total number of animals at the zoo is 670.
Kathy's fish tank has many different kinds of fish. In particular 1/6 of the fish are testras, and 2/5 of the fish are guppies. What fraction of kathy's fish are either testras or guppies?
please help on this one ?
1 ║ 4 6 -1
4 10
----------------------------------------------
4 10 [tex]\boxed{9}[/tex]
⇒ The Remainder is 9
Every bike at a sports store is on sale for 25% off the regular price. About how much would a bike cost that regularly sells for $145?
Answer:
The bike will cost $108.75
Step-by-step explanation:
In order to find the amount, you must multiply the cost by the percentage being paid. Since the mark down is 25%, you are paying 75% of the overall cost. So multiply 75% by $145.
75% * $145 = $108.75
Ana age is 8 years less than 4 times her sister's age .Write an expression for Ana's age.How old is Ana if her sister is 5 years old ?
Answer: 4x - 8 ; 12 yrs old
Step-by-step explanation:
sister: x
Ana: 4x - 8
when x = 5, Ana = 4(5) - 8
= 20 - 8
= 12
The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width
A pizza delivery shop averages 30 minutes per delivery with a standard deviation of 4 minutes. What is the probability that a pizza takes less than 27 minutes to be delivered
Please explain as best as you can :)
Answer:
The best answer is C. y = 2/5x + 2
Step-by-step explanation:
You would start at point 2 then rise 2 units then run 5 units. (i got something else) but i went to desmos to make sure and it matched
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b).
Read two points from the graph.
y-intercept = (0, 2) → b = 2
x-intercept = (-5, 0)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{0-2}{-5-0}=\dfrac{-2}{-5}=\dfrac{2}{5}[/tex]
Therefore your answer is
[tex]\boxed{C.\ y=\dfrac{2}{5}x+2}[/tex]
Start at six create a pattern that multiplies each number by three stop when you have four numbers
Answer:
Step-by-step explanation:6*3 7*3 8*3 9*3
Why is the answer D? I'm having a hard time with the logic of it.
Let's assume the opposite is the case. So let's assume that a = b is true. If so, then f(a) and f(b) would be the same output. This is because we can replace 'b' with 'a', or vice versa. In other words, f(a) = f(b) would be true. But this contradicts the original inequality that f(b) < f(a)
So that is why 'a' cannot equal b. We don't know if a > b or if a < b (unless we are told if the function is strictly decreasing or increasing on the interval from x = a to x = b), so we just leave it as [tex]a \ne b[/tex]
59 points - 12 points whats your grade
Answer:
59-12 would be 47 points and by all means you would have an F
Step-by-step explanation:
59-12=47
If triangle ABC is congruent to triangle XYZ, then which of the following is congruent to segment XY? (5 points)
segment AB
segment BC
segment CA
segment YZ
Answer:
Segment AB!
hope this helps
Step-by-step explanation:
Answer:
Segment XY≅ segment AB.
Step-by-step explanation:
Given : ABC is congruent to triangle XYZ.
To find : which of the following is congruent to segment XY.
Solution : We have given that triangle ABC ≅ ΔXYZ.
By the congruent rule of triangle : congruent triangle have congruent corresponding sides .
So. side AB ≅ XY
Therefore, Segment XY≅ segment AB.
Write all of the potential roots of:
p(x) = x^4 − 9x^2 − 4x + 12
So to find the potential roots, we will be using the rational root theorem. The rational root theorem is [tex]\pm \frac{p}{q}[/tex] , with p = factors of the constant and q = factors of the leading coefficient. In this case, our constant is 12 and our leading coefficient is 1:
[tex]p=1,2,3,4,6,12\\q=1\\\\\pm\frac{1,2,3,4,5,6,12}{1}\\\\\pm1,\pm\ 2,\pm\ 3,\pm\ 4,\pm\ 6,\pm\ 12[/tex]
AnswerIn short, our potential roots are: ± 1, ± 2, ± 3, ± 4, ± 6, and ± 12.
Answer:
2,4,3,6,12
Step-by-step explanation:
i just did it.
Graph the following line by plotting the x and y intercepts: 5x – 3y = 15. SEE ATTACHMENT
Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the ages of Harvey and Jane. Jane is a0 years old. Harvey is a1 years old.
Answer:
Jane is 12 years old and Harvey's is 36 years old .
Step-by-step explanation:
Given :
Jane is [tex]a_{0}[/tex] years old.
Harvey is [tex]a_{1}[/tex] years old.
Harvey is 3 times as old as Jane.
The sum of their ages is 48 years.
To find : The ages of Harvey and Jane.
Solution :
Jane 's age :
[tex]a_{0}[/tex]
Harvey 's age:
[tex]a_{1}[/tex]
Since we are given that sum of their ages is 48 years
⇒[tex]a_{1} + a_{0} = 48[/tex] ----(A)
We are also given that Harvey is 3 times as old as Jane.
⇒[tex]a_{1} = 3a_{0}[/tex] --- (B)
Solving (A) and (B) using substitution method
Substitute value of [tex]a_{1}[/tex] from (B) in (A) :
⇒[tex] 3a_{0}+ a_{0} = 48[/tex]
⇒[tex] 4a_{0} = 48[/tex]
⇒[tex]a_{0} = \frac{48}{4}[/tex]
⇒[tex]a_{0} = 12[/tex]
Thus , Jane 's age is 12 years .
Substitute this value in (B) to find Harvey,s age :
⇒[tex]a_{1} = 3(12)[/tex]
⇒[tex]a_{1} = 36[/tex]
Thus, Harvey,s age is 36 years .
Hence Jane is 12 years old and Harvey's is 36 years old .
Adena used a qualateral in her ary design. The quadrlateral has no sides ,and only one pair of opposite sides parallel what shape of the quadrileteral she used
Answer: The quadrilateral used here is a trapezium.
Bobby jo made 60 holiday cookies. 4/5 of the cookies are for her teachers and the rest are for her family .How many cookies are for Bobbie jo family
Answer:
12
Step-by-step explanation:
60 divided by 5 is 12, so Bobby jo would give her teachers 48 and 12 to her family
Final answer:
To find the number of cookies for Bobby Jo's family, subtract the number of cookies for her teachers from the total number of cookies she made.
Explanation:
To find the number of cookies for Bobby Jo's family, we need to subtract the number of cookies for her teachers from the total number of cookies she made. Bobby Jo made 60 holiday cookies and 4/5 of these are for her teachers. To calculate the number of cookies for her teachers, we multiply 60 by 4/5:
Number of cookies for her teachers = 60 x 4/5 = 48 cookies
Since the rest of the cookies are for her family, we subtract the number of cookies for her teachers from the total number of cookies to find the number of cookies for her family:
Number of cookies for her family = 60 - 48 = 12 cookies
BRAINLIEST AND 80 POINTS
A spinner is divided into 3 sections: red, blue, and green. Belinda spins the spinner 10 times. The spinner lands on red 2 times. What is the experimental probability that the spinner lands on red?
Answer:
1/5
Step-by-step explanation:
Experimental probability is the actual times it happens divided by the number of trials
Actual times red occurs:2
Trials: 10
Experimental probability: 2/10 = 1/5
Answer:1/5
Step-by-step explanation:Experimental probability is the actual times it happens divided by the number of trials
Actual times red occurs:2
Trials: 10
Experimental probability: 2/10 = 1/5
can you please help me i really need help.
Which graph type would be best for showing the height of a fifth-grade student who is taller than 25% of the other students in his class?
Answer: The bar graph could work.
Answer:
Step-by-step explanation: A box plot takes a large amount of data and clearly identifies the median, first quartile, and third quartile. The first quartile identifies the 25th percentile, and the third quartile identifies the 75th percentile.
To determine how the height of the student compares to 25% of his class, the value of the first quartile of the heights is needed.
Therefore, the best graph type to show how the student compares to 25% of his class is a box plot.
The pay-scale for Pedro's stores is based on the education level of his employees. The education levels are shown for the employees at his two stores.
Which matrix correctly displays the total number of employees for the two stores based on their education levels?
The total of the two matrices is found by adding corresponding elements:
[tex]\left[\begin{array}{cc}5+2&3+3\\22+17&15+27\\13+15&12+18\end{array}\right] =\left[\begin{array}{cc}7&6\\39&42\\28&30\end{array}\right][/tex]
This matches selection A.
Can somebody help me with this. Please see the attachment.
48
Step-by-step explanation:Let x represent the distance OC. Then CD = x+2, and DP = 16-x. The radius of circle P is ...
... CD +DP = (x+2) +(16-x) = 18
The radius of circle O is ..
... OC + CD = (x) + (x +2) = 2x+2
The length OP is ...
... OC + CP = (x) + (18) = x+18.
Now, the perimeter of ΔAOP is ...
... radius of circle O + radius of circle P + OP = 80
... = (2x+2) + 18 + (x+18) = 3x+38 = 80
Then x is ...
... x = (80 -38)/3 = 14
and the radius of circle O is
... 2x +2 = 2·14 +2 = 30
The desired sum is ...
... OB + BP = (radius of circle O) + (radius of circle P) = 30 + 18
... OB + BP = 48
Phillip bought apples from the grocery for $2.20 per pound. If he had bought 2.5 pounds of apples on Monday and 1.2 pounds of apples on Tuesday, how much did he spend on apples in total?
Answer:
8.14$
Step-by-step explanation:
each pound is for 2.20
2.5 x 2.20 = 5.50$ on Monday
1.2 x 2.20 = 2.64$ on Tuesday
5.50 + 2.64 = 8.14$ in total