Which of the following is the discriminant of the polynomial below x^2+4x+5
Answer:
[tex]\huge\boxed{\sf Discriminant = -4}[/tex]
Step-by-step explanation:
Comparing it with quadratic equation [tex]ax^2 + bx + c = 0[/tex], we get:
a = 1 . b = 4 and c = 5
So,
Discriminant = [tex]b^2-4ac[/tex]
D = (4)²-4(1)(5)
D = 16 - 20
D = -4
Hence,
Discriminant = -4
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Jake map shows the distance from the big star coffee to the restaurant supply store as it 3 cm is the scale of the map is 1 cm to 8 km what is the real distance from the shop to the store
Answer: The real distance from the shop to the store = 24 km.
Step-by-step explanation:
Given: The distance from the big star coffee to the restaurant supply store = 3cm (On map)
Scale of the map : 1 cm to 8 km
That means, the real distance from the shop to the store = 3 x ( 8 km ) = 24 km
Hence, the real distance from the shop to the store = 24 km.
Write an equation for line `m`.
Jenna finds that of the 24 students in her class, 6 have dogs, 8 have cats, 3 have fish, 1 has a hamster, and the rest do
not have a pet. What is the probability that a student at the school has no pet?
Answer:
6
Step-by-step explanation:
24 minus 18
Find the missing length. The triangles are similar.
Can someone help me?
Need to show the work
Answer:
28
Step-by-step explanation:
The ratio of the triangles is 12:15 which is equal to 4:5
Then you can use that ratio to find the ?
35 would be the 5 so 4 would be multiplyed by 7
Which is equal to 28
What’s the answer but you also have to simplify
Answer:
The answer is 9x² + 3x - 2.
Step-by-step explanation:
1) Collect like terms.
[tex](7x^{2} + {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)[/tex]
2) Simplify.
[tex] {9x}^{2} + 3x - 2[/tex]
Therefor, the answer is 9x² + 3x - 2.
Can someone please help me with math.
Answer:
1 - B
2 - B
Step-by-step explanation:
Hey There!
The slope is the change in y over change in x
In the graph shown as y goes up 3 x goes down 4
so the slope is -3/4 or B
See graph below for number 2
I had plotted the two points (4,6) and (2,12) and the equation that passed through those points was y=-3x+18 so your answer is B
which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33 Oa. The equation has a maximum value with a y coordinate of -27 Ob. The equation has a minimum value with a y coordinate of -21 Oc. the equation has a minimum value with a y coordinate of -27 Od. The equation has a maximum value with a y coordinate of -21
Answer:
D. The equation has a maximum value with a y coordinate of -21Step-by-step explanation:
The quadratic equation has the extreme value at vertex with x-coordinate of
x = -b/2aFor the given equation the vertex is:
x = -12/2(-3) = 2The value of y at x = 2 is:
y = -3(2²) + 12(2) - 33 = -12 + 24 - 33 = -21Since the leading coefficient is negative, the extreme is the maximum for the given equation.
Correct choice is D
write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88
Answer:
Step-by-step explanation:
write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88
Kamogelo walks 1.25 km in 25 minutes and Masego walks 1.44 km in 30 minutes. If these are
their travelling times and distance to school then, who walks faster.
Answer:
Kamogelo walks Faster
Step-by-step explanation:
1.25 km is less distant and in twenty five minutes it is fast enough.
The perimeter of a square measures 26 cm. What is the length of the side of the square? Sketch a model to show how the length is related to the area.
Answer:
The length is 6.5
and the area is 6.5⁴
help!! the measure of the angles of a triangle are shown in the figure below. Solve for x.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The acute angles in a right triangle are complementary, so we have ...
(7x +5)° +36° = 90°
7x = 49 . . . . . . . . . . . . divide by °, subtract 41
x = 7 . . . . . . . . . . divide by 7
Three families equally share 1/3of a community garden space. How much of the community garden space does each family use?
Answer:
1/9
Step-by-step explanation:
You do 1/3 divided by 3 which is 1/3 times 1/3 which equals 1/9
Consider the following 8 numbers, where one labelled
x
is unknown.
42, 4, 1, x, 16, 11, 4, 30
Given that the range of the numbers is 62,
work out 2 values of
x
Answer:
-21 and 63 are the possible values
ms young is making a fruit basket what is the total number of apples ms young sends to her cousins if she puts 2 green apples in each basket
Answer:
wouldnt it be two
Step-by-step explanation:
if ms.young is make a (1) fruit basket and sends her cousin to put 2 green apples in each basket that would be 2 apples
The total number of apples that miss Young sends her cousins is 56 apples.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here,
If number of green apples are g, then red apples will be 3g
Let the total number of apples be x.
Miss Young is making fruit baskets to send her seven cousins
Now, x= 7(g+3g)
She puts two green apples in each basket
So, x=7(2+3×2)
= 7×8
= 56
Therefore, the total number of apples that miss Young sends her cousins is 56 apples.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
Miss Young is making fruit baskets to send her seven cousins. In each basket, she puts G green apples. She puts red apples, which is three times as many green apples in each basket. What is the total number of apples that miss Young sends her cousins if she puts two green apples in each basket?
What is the common difference for the sequence shown below? (1 point)
(-1,2)
(3.4)
(1.3)
O2
Tim knows that 52 52 students can fit on one school bus. He sees 3 3 school buses arrive. Which equation will give Tim the best estimate of the total number of students that can fit on 3 3 buses?
Answer:
52 x 3
Step-by-step explanation:
Take the number of students on the bus and multiply by the number of the buses
252/550.3 PLSSSSS HELP IM IN THE MIDDLE OF CLASS HELP PLS
Answer: 2.1
Step-by-step explanation:
A male African elephant weighs 6 tons. A male African lion at the local zoo weighs 1/50 of the weight of the male African elephant. How many pounds does the lion weigh?
Answer:
240
Step-by-step explanation:
Take 1/50 as an decimal and multiply it by 12000 pounds (6 tons
.02*12000=240
Find the equation of the exponential function represented by the table below:
2
y
0.1
1
0.05
2
0.025
3 0.0125
Answer:
The exponential equation is;
y = 0.1•0.5^x
Step-by-step explanation:
Here, we want to get the exponential function represented by the table
Mathematically, the general form of an exponential function is;
y = a•b^x
By getting a and b, we have the exponential function
We can use any of the points;
Let us start with (0,0.1)
0.1 = a•b^0
anything raised to zero is 1
0.1 = a * 1
a = 0.1
Now, we have a
Let us work with the second point to get b
The point is (1,0.05)
0.05 = 0.1•b^1
0.05 = 0.1b
b = 0.05/0.1
b = 0.5
Thus, we have the equation as;
y = 0.1•0.5^x
what is the answer of
b2 - 81 ?
Answer:
2(b-40.5)
Step-by-step explanation:
2(b-81) therefore 2 is the HCF(Heighest common factor)
u have to divide both terms by 2
(2b÷2)-(81÷2)
2(b-40.5)
5x+8 = 18
Please answer fast
Answer:
5x + 8 = 18
5x = 18 - 8
5x = 10 (divide both sides by 5 to get x)
5x/5 = 10/5
x = 2
Step-by-step explanation:
also can i get brainliest
The bus trip takes 30 minutes. If the bus arrives at 5:00 P.M., what time did the
bus leave?
P.M.
Answer:
The Bus Left At 4:30 P.M
Step-by-step explanation:
4:30+30=5:00
Hope this helps!
Answer:4:30
Step-by-step explanation:5:00-30 minutes =4:30
Which equation represents exponential growth?
kevin's garden is rectangular and measures 12 metres by 15 metres. He plans to lay new turf in the garden which will cost £8 per square metre. how much turf will he need to buy and how much will this cost?
Answer:
Kevin’s garden is rectangular and measures 12 metres by 15 metres. He plans to lay new turf in the garden which will cost £8 per square metre. How much turf will he need to buy and how much will this cost? 4)Inga needs to buy enough skirting board to replace the old skirting board in her bedroom. The bedroom is 5m 20cm long and 4m 80cm wide.
Step-by-step explanation:
How can I solve h(t)==-16t^2+64t
Step-by-step explanation:
5466 that's it it's that easy
write the set notation of the following Venn-diagram I will mark him or her as the brainliest answer
Answer:
A intersection B complement
Changes in the dimensions of the shape do not effect the area of the shape. True or False
Answer:
I’m doing the assignment and in the reading it says In this lesson, you’ll be exploring how changes in the dimensions of a figure affect its area. so I say. False
hope this helps
Step-by-step explanation:
The statement is false because the area could be changed if the dimensions are changed.
How to find the area of a region?Supposing that there is no direct formula available for deriving the area,
we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The statement is given that 'Changes in the dimensions of the shape do not affect the area of the shape'.
The statement is false because the area could be changed if the dimensions are changed.
Learn more about area here:
https://brainly.com/question/13004063
#SPJ2
Triangle QRS has the following vertices - Q (-1, 1), R (1, 3), S (3, 1). Triangle QRS is translated 2 units right and 3 units down. What are the correct vertices of the translated triangle?
A
Q' (-1, 5), R' (1, 3), S' (3, 5)
B
Q' (-4, 3), R' (-2, 5), S' (0, 3)
C
Q' (1, -2), R' (3, 0), S' (5, -2)
D
Q' (1, -1), R' (-1, -3), S' (-3, -1)
The answer is number C
:)
OMG PLS HELP
2. Your pet rat Randy is the next contestant on a new game show What a Rat! Where
rats compete in mazes to find food as
fast as possible. Randy is equally
likely to take any path when coming
to an intersection, but you get to
decide which area to place the food.
Given the maze above, in which area
should you place the food to help
Randy win the competition? Show all
of your calculations! Be clear,
complete and justify your answer.
Answer:
Box C
Step-by-step explanation:
Given
See attachment 1 for the maze
Required
The area to place the food in order to help the rat win
To answer this question, we make use of the concept of probability (see attachment 2)
From the starting point to the first joint:
Each of the three ways have the same probability of 1/3
1. If the car passes the way at the top, there are two additional joints.
1.1 Each of the two joints (top and bottom) have the same probability of 1/6 (i.e. divide 1/3 by 2)
1.2 The bottom joint also splits to two (each of these ways have a probability of 1/12; i.e. divide 1.6 by 2)
2. If the car passes the way at the middle, there are two additional joints.
Each of the two joints (top and bottom) have the same probability of 1/6 (i.e. divide 1/3 by 2)
3. If the car passes the way at the bottom, there are three additional joints.
Each of the three joints have the same probability of 1/9 (i.e. divide 1/3 by 9)
Next, is to sum up the probability of each box.
For Box A
[tex]P(A) = \frac{1}{6} + \frac{1}{12} + \frac{1}{9}[/tex]
Take LCM
[tex]P(A) = \frac{6+3+4}{36}[/tex]
[tex]P(A) = \frac{13}{36}[/tex]
[tex]P(A) = 0.361[/tex]
For Box B
[tex]P(B)= \frac{1}{12} + \frac{1}{6}[/tex]
Take LCM
[tex]P(B)= \frac{1+2}{12}[/tex]
[tex]P(B)= \frac{3}{12}[/tex]
[tex]P(B)= 0.250[/tex]
For Box C
[tex]P(C) = \frac{1}{6} + \frac{1}{9} + \frac{1}{9}[/tex]
Take LCM
[tex]P(C) = \frac{3+2+2}{18}[/tex]
[tex]P(C) = \frac{7}{18}[/tex]
[tex]P(C) = 0.389[/tex]
From the calculations above, box C has the highest probability of 0.389 compared to 0.250 (of box B) and 0.361 (of box A)
Hence, the food should be placed in Box C
