The given quadratic equation [tex]y = x^2 + 3x - 10[/tex] Hence, the correct option is D one real root.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity [tex]b^2 - 4ac[/tex] is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
The given quadratic equation
[tex]y = x^2 + 3x - 10[/tex]
a = 1
b = 3
c = -10
The discriminant
[tex]b^2 - 4ac[/tex]
= 9 - 4(1)(-10)
= 9- 40
= - 31
Thus, Non-real and distinct roots if the discriminant is negative.
Hence, the correct option is D one real root.
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100 POINTS + BRAINLIEST! HELP!!!
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 40 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 20); y= one over eighty x squared +20
(0, 10); y= one over one hundred twenty squared +10
(0,20); y= one over eighty x squared -20
(0, 10); y= one over one hundred twenty x squared -10
Answer:
(0, 20); y= one over eighty x squared +20
Step-by-step explanation:
What is the probability of spinning green and rolling an even number?
The probability of spinning green and rolling an even number will be 0.125.
The missing diagram is given below.
What is probability?The percentage of favorable events to the total number of occurrences.
The probability of spinning green will be
Toial event = 4 {R, G, B, Y}
Favorable event = 1 {G}
P(G) = 1/4
The probability of an even number on dice will be
Toial event = 6 {1, 2, 3, 4, 5, 6}
Favorable event = 3 {2, 4, 6}
P(E) = 3/6
P(E) = 1/2
Then the probability of spinning green and rolling an even number will be
P = P(G) x P(E)
P = 1/4 x 1/2
P = 0.125
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8
At a party there are 90 people.
48 are women and 42 are men.
Some women leave.
Some men arrive.
The ratio of women to men is now
10:11
Are there now more than 90 people at the party?
Tick one box.
Yes
No
Show working to support your answer.
Cannot tell
[2 marks
Answer:
No, there are less than 90 people at the party.
Step-by-step explanation:
This is because the number of women cannot go above 48 as it says "Some women leave".
-> This means that the ratio 10:11 actually states that there are 40(or less) women and 44(or less) men in the party now which is less
than 90 overall, so the answer is No.
:)
help me thank u if u do
Answer:
Choice 4^th
Step-by-step explanation:
Given:
1/2+3/4+7/16 = __
To Solve:
Addition equation by finding a common multiple.
Solution:
Let the blank _ be x.
Then,
1/2+3/4+7/16 = x
Flip this equation:
x = 1/2+3/4+7/16Now solve for x.
x = (1/2+3/4)+7/16 x = 5/4+7/16x = 27/16Hence,
1/2+3/4+7/16 = 27/16
4^th Choice is accurate.
NEED HELPP! (05.02 MC) Using logarithmic properties, what is the solution to log11(y + 8) + log114 = log1160? Show all necessary steps.
Using logarithmic properties, the solution to the given logarithmic equation is y = 7
Solving Logarithmic equationsFrom the question, we are to determine the solution to the given equation
The given equation is
[tex]log_{11}(y+8) + log_{11}(4) = log_{11}(60)[/tex]
Applying the product law of logarithms, we get
[tex]log_{11}(y+8) \times (4) = log_{11}(60)[/tex]
This gives
[tex]log_{11}(4y+32) = log_{11}(60)[/tex]
Applying the equality law of logarithm, we get
[tex]4y + 32 = 60[/tex]
[tex]4y = 60-32[/tex]
[tex]4y =28[/tex]
∴ y = 28/4
y = 7
Hence, the solution to the given logarithmic equation is y = 7
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a company makes these biscuits at a cost of $1.35 per packet. these biscuits are sold for $1.89 per packet. calculate the percentage profit the company makes on each packet
Answer:
They Make 50 cents profit a pack
Step-by-step explanation:
1.89-1.35
PLEASE HELP!! 50 POINTS!!!!!
Answer:
3\2 is the marked
y cos x,=2
3\2=0.5
x=0.5*2=3.0
=3.0*2=6.0
3. Twelve people work together: four of them are managers and eight of them are office workers. Two people are chosen at random from the twelve members of the group. Calculate the probability that one is a manager and one is an office worker.
Answer:
2/9
Step-by-step explanation:
8/12 you pick an office worker
4/12 chance you pick a manager
8/12 multiplied by 4/12 is 32/144
We can simplify this to 16/72
We can simplify this to 8/36
We can simplify this to 4/18
We can simplify this to 2/9
what parent function is represented by the table?
x|y
-2|4
-1|1
0|0
1|1
2|4
a. f(x)= x^2
b. f(x)= 2^x
c. f(x)= x
d.f(x)= |x|
Answer:
answer is A
Step-by-step explanation:
The answer is A
The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
Step-by-step explanation:
I think angle A = 21 degree
because in the question there is angle A Is twice means angle a + angle a= 4G degree
2 angle a=42 degree
42 divides by 2
answer is 21 degree
Victoria holds a 5 foot long fishing pole. The fishing line extends 3 feet to the water's surface and then another 12.6 feet to a hook. How far is the fish from the hook?
The fish, the fishing pole and the water surface are all in equivalent ratio, and the fish is 21 feet from the hook
How to determine the distance between the fish and the hook?To do this, we make use of the following equivalent ratio
3 : 12.6 = 5 : x
Where x represents the distance between the fish and the hook
Express the ratio as a fraction
12.6/3 = x/5
Multiply both sides by 5
x = 5 * 12.6/3
Evaluate
x = 21
Hence, the fish is 21 feet from the hook
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IM IN NEED OF HELP ASAP!!
Answer:
B. [tex]\frac{14}{625}[/tex]
Step-by-step explanation:
Total paper in the hat:
2 blue + 6 red + 10 yellow + 7 purple = 25 total pieces of paper
P(AB) = 7 / 25 x 2 / 25
A is the probability of pulling a purple paper
B is the probability of pulling a blue paper
Answer:
14/625
Step-by-step explanation:
probability = favorable outcomes/total number of outcomes
First find the probability of drawing a purple piece of paper.
There are 7 pieces of purple paper.
Add all the amounts of colored paper together to get the total number of outcomes.
2 + 6 + 10 + 7 = 25
The probability of drawing purple is 7/25
Now find the probability of drawing blue. There are 2 blue pieces of paper. Since he replaces the purple paper the total stays at 25.
The probability of drawing blue is 2/25
This is a compound probability problem, so multiply the two probabilities together.
7/25 x 2/25
14/625
If TU=8 and TV = 13
Answer:
UV = 5
Step-by-step explanation:
Hello there!
Given such a problem, you have to consider where you are beginning, the middle and you end point. Here we have T (starting point), U ( middle- not necessarily center) and V (end point).
From our question, we have;
TV = 13 and TU = 8
To get UV, we subtract TU from TV as shown:
UV = TV - TU
= (13 - 8)
= 5
. ° . UV is 5
I hope this helps.
Have a nice studies.
Which is the correct product of the significant figures 3.278 and 4.23? a. 14 b. 13.9 c. 13.86 d. 13.865 e. 13.86594
The correct answer is option E. which is the product will be 13.86594.
What is the product?Multiplication is the process of determining the product of two or more numbers in mathematics. Given numbers are 3.278 and 4.23.
The product of the two numbers will be calculated as:-
P = 3.278 x 4.23
P = 13.86594.
Therefore the correct answer is option E. which is the product will be 13.86594.
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Answer:b
Step-by-step explanation:
Identify the degree of the polynomial 6xy2 − xy + 8 + 12y.
Answer: Three
Step-by-step explanation:
I am going to assume the first value is 6xy² and not 6xy2
6xy² − xy + 8 + 12y
The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).
The degree of the polynomial is the same as the degree of the highest term, so your answer is:
three
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Solve triangle abc round your answers to the nearest hundredth if necessary.
Step-by-step explanation:
where are the pictures ? or diagram?
5x-3x<22-100+200+50x
What is the value of x
Answer:
x > −61/24
Step-by-step explanation:
When Taylor was six years old, she was 1 meter tall. Between the ages of six and eight she grew 0.15 meter. Between the ages of eight and ten she grew 0.19 meter. What was Taylor’s height, in meters, when she was ten years old?
0.44 m.
1.44 m.
0.35 m.
1.34 m.
Answer:
in asurvey of people 80%have crop farming 30%have animal farming and every farmer has at least one farming
As the 1920s progressed, it became for farmers to make a living.
answer: more difitcul
Answer:
While most Americans enjoyed relative prosperity for most of the 1920s, the Great Depression for the American farmer really began after World War I. Much of the Roaring '20s was a continual cycle of debt for the American farmer, stemming from falling farm prices and the need to purchase expensive machinery.<3
Step-by-step explanation:
Answer:
more difficult
Step-by-step explanation:
pls help... Prove (1+tanx)/(1+cotx)=tanx by algebra
[tex]\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Nine million ninety thousand nine hundred and ninety-nine ten-thousandths
Brad took 5 kicks and made 4 goals: 4/5
Sydney will take 10 shots and she wants to make an equivalent fraction of the goals. How many goals must She make?
4/5 x ?/? = ?/10
Answer: 8/10
Step-by-step explanation: so you have to multiply 5 times x u till you get 10 so you’ll multiply it 2 times and since you multiplied the left 5 times two you have to multiply the 4 by 2 also to keep everything equal so the final answer is 8/10
Which inequality does the graph
represent?
y
−2 O 2 x
2
−2
Answer:
Step-by-step explanation:
Which factor pair of 36 has a sum that is - 20?
The factor pair of 36 whose sum is -20 are -2 and -18.
What are Factors?Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.
For example, 10 = 2 × 5
So we can say that 2 and 5 are factors of 10.
Let x and y be the two factors of the number 36.
Then we have,
x × y = 36
Write the factors of the number 36 as the product.
36 = 1 × 36, sum = 1 + 36 = 37
36 = -1 × -36, sum = -1 - 36 = -37
36 = 2 × 18, sum = 2 + 18 = 20
36 = -2 × -18, sum = -2 - 18 = -20
Hence the factor pair of 36 whose sum is -20 are -2 and -18.
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If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same slope as line l passing through ED¯¯¯¯¯¯¯¯?
As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.
A pennant in the shape of a right triangle has a base of 48 inches and a height of 14 inches what is the hypotenuse of the pennant?
Answer:
50 inches
Step-by-step explanation:
48^2 + 14^2 = h^2
Answer is 50 inches if you solve...
¿En una bodega hay 5 torres de cajas que contiene cada una 5 filas con 5 frascos de miel ¿Cuantos frascos de miel hay en total?
Considerando la definición de potencia, en total hay 125 frascos.
Definición de potenciaLa potencia es la manera de simplificar la multiplicación de un factor por sí mismo varias veces.
Las potencias están formadas por la base y por el exponente. La base es el número que se está multiplicando varias veces y el exponente es el número de veces que se multiplica la base.
Siendo "b" la base y "n" el exponente, la potencia se representa como [tex]b^{n}[/tex].
Cantidad de frascos de mielEn una bodega hay 5 torres de cajas que contiene cada una 5 filas con 5 frascos de miel. Esto se puede representar mediante la potenciación como: 5³
Resolviendo se obtiene: 5³= 125
Finalmente, en total hay 125 frascos.
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solve 3/4 divided by 2/3 to get the correct sum
can I get help with this problem as well? I don't want to get it wrong then not be able to get the credit again. It's my last problem.
Check the picture below.
well, the volume of the craft prism will simply be length * width * height, and we know that is 7140.
[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=17\\ h=28\\ V=7140 \end{cases}\implies \begin{array}{llll} 7140=(17)w(28)\implies \cfrac{7140}{(17)(28)}=w \\\\\\ 15=w \end{array}[/tex]
we know the area of the top is just w * 17, and the circle is just 2/5 of that, well that's just
[tex]\cfrac{2}{5}(15)(17)\implies (2)(17)\cfrac{15}{5}\implies (2)(17)3\underset{\textit{area of the circle}}{\implies 102~in^2}[/tex]
What is the surface area of this shape(step by step if possible)
Answer:
Step-by-step explanation:
((8 x 10) x 3) + ((9 x 8)/2) x2 = (80 x 3) + (72/2) x 2
= 240 + (36 x 2)
= 240 + 72
= 312