Given:
The values in the table represent the graph of a continuous function.
To find:
The interval that must contain an x-intercept.
Solution:
From the given table it is clear that, initially y-values are negative but after negative values we get y=0.44 at x=-1.9.
This signs of y-value are different, it means the graph of continuous function must contain an x-intercept in the interval -2.3 < x < -1.9.
Therefore, the correct option is B.
Answer:
Its , -2.3 < x < -1.9
Step-by-step explanation:
Edge 2020
Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1? f(x) = 3x2 + 5x + 4 f(x) = 3x2 + 15x + 12 f(x) = 3x2 – 5x + 4 f(x) = 3x2 – 15x + 12
Answer:
f(x) = 3x^2 - 15x + 12
Step-by-step explanation:
All of the second degree polynomials listed have a leading coefficient of 3.
Since we are asked which has roots 4 and 1, we know we need to find the polynomial where x is a negative number, then solve for x.
f(x) = 3x^2 - 15x + 12
= 3(x^2 - 5x + 4) --- Here, I factored out the 3.
= 3((x-4)(x-1)) --- solve for the quadratic.
Therefore, solving for x, we have
x - 4 = 0 and x - 1 = 0
x = 4 x = 1
Thus, this polynomial has a lead coefficient of 3 and its roots are 4 and 1.
Answer:
f(x) = 3x^2 - 15x + 12
Step-by-step explanation:
its Britany bitc
Step-by-step explanation:
Find the missing side, x, rounded to the
nearest whole number.
Answer:
here's what the triangle should look like with all the values
Step-by-step explanation:
hopefully this helps :)
(03.02 MC)
Which of the following is a factor of 12x2 − 4x − 1? (6 points)
Group of answer choices
A. 6x − 1
B. 2x + 1
C. 2x − 1
D. None of the above
Answer:
C) 2x - 1
Step-by-step explanation:
12x² - 4x - 1 = 12x² - 6x + 2x - 1
= 6x(2x - 1) + (2x - 1)
= (2x - 1) (6x + 1)
A package of 6 pairs of insulated socks costs $32.34. What is the unit price of the pairs of socks?
a set of data items is normally distributed with a mean of 60. convert the data item to a z score if the standard deviation is a as given. data item : 56 standard Deviation 4
A. 4
B. -1
C. 1
D. -4
The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.
Option B is the correct answer.
We have,
To convert a data item to a z-score, you can use the formula:
z = (x - μ) / σ
Where:
z = z-score
x = data item
μ = mean
σ = standard deviation
In this case, the data item (x) is 56, the mean (μ) is 60, and the standard deviation (σ) is 4.
Plugging these values into the formula.
z = (56 - 60) / 4
z = -4 / 4
z = -1
Therefore,
The z-score for data item 56, with a mean of 60 and a standard deviation of 4, is -1.
Learn more about normal distribution here:
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Expanded form of 13.028
Answer:
Expanded form of 13.028
Step-by-step explanation:
13028/1000
.
You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation
This question is incomplete, the complete question is;
You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation ?
Multiple Choice
A. 0.2 square ounces
B. 0.5 square ounces
C. 0.7 square ounces
D. 1.2 square ounces
Answer:
Option A) 0.2 square ounces is the correct answer
Step-by-step explanation:
Given that;
two strains of mice where raised in the environment and while one is inbred, the other is genetically heterogeneous.
The total variance for the inbred strain = 0.5 square ounces
total variance for the heterogeneous strain = 0.7 square ounces
relative amount of variance due to genetic variation = ?
The relative amount of variance due to genetic variation can be gotten by taking the difference of the total variance of both mice
so;
relative amount of variance due to genetic variation = variance for the heterogeneous strain - total variance for the inbred strain
we substitute our values
relative amount of variance due to genetic variation = 0.7 - 0.5
relative amount of variance due to genetic variation = 0.2 square ounces.
Therefore Option A) 0.2 square ounces is the correct answer
Help me out hereeeeeeeeeeeeeeeeeeeee
Answer:
5/8 hope this helps
4 1/10 -3 3/8=.....?
Answer:
29/40
Step-by-step explanation:
Find the length of each side of an equilateral triangle with perimeter 60 inches.
Answer:
20
Step-by-step explanation:
60 divided into 3 = 20 since all sides are equal then you get 20 for each side.
Use distributive property and area models to solve these equations . Show your work.
4 x 9.4 6.4 x 1.2
3.5 x 4.9 8.4 x 5.2
Answer:
hablan español es que yo les pudiera ayudar pero no se tanto ingles como ustedes
What is the factor of х+8xt7
Answer:
x (1+8t7)
Step-by-step explanation:
Please help, I will give five stars.
Answer:
C
Step-by-step explanation:
So I don’t know if you don’t know how to do it but imagine right to explain it ... You good have to add oh yeah P2 together and all numbers together and all the p together see this is why I did use different colors. Have an amazing day :)
What is the absolute value of -6
Answer:
6, man
Step-by-step explanation:
40% of 250 students have part-time jobs. How many students have
part-time jobs?
Answer:
100 students
Step-by-step explanation:
40/100 x 250 = 100Answer:
100 Students
Step-by-step explanation:
[tex]\frac{250*40}{100} =100 students[/tex]
A student uses the method of successive approximations to estimate a positive solution of
f(x) = g(x), where f(x) = x2 + 10 and g(x) = 2x + 17. The table shows her results for different
input values of x.
Answer:the answer is between 11 and 17
Step-by-step explanation:
Because when you look at the chart and see which one makes sense you will find it
Answer: it’s between 3.75 and 5
Step-by-step explanation:
ABC = EDC, AB=8, BC = 5 DC = ?
Answer:
5
Step-by-step explanation:
AB = ED
BC = DC
AC = EC
Topic: Congruence and similarity
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Write an equivalent expression using commutative property of multiplication.
4 x (6 x 2) =
Answer:
im pretty sure it should be 4 x (2 x 6)=
if the answer is needed its 48
Step-by-step explanation:
Can somebody please help me out?
Answer:
A
Step-by-step explanation:
You can't square a negative number, so the number must be non real.
Find the value of the variable, x
Group of answer choices
72
180
27
26
Answer:
The value of x is 27
Step-by-step explanation:
If you multiply 27 by every x in this problem, and add up the angles it will equal 180. Which is the amount of degrees every triangle adds up to.
each function. g(x) = 2x^3 – 4; Find g(2)
Answer:
g(2) = 12
Step-by-step explanation:
g(x) = 2x³ – 4; g(2)
g(2) = 2(2)³ – 4
= 2 × 8 – 4
= 16 – 4
g(2) = 12
Thus, The answer is g(2) = 12
-TheUnknownScientist
Answer:
12
Step-by-step explanation:
Anton van Leeuwenhoek’s contribution in the development of cell theory?
HELP
Does this circle have a radius or diameter?
Answer:
Radius
Step-by-step explanation:
The radius is a straight line from the center to the circumference of a circle
The diameter is a straight line, from circumference to circumference, that passes throught a citcle's center
y(0.5+2) please help me on this !!!
Answer:
0.5y+2y
Step-by-step explanation:
bc you divide out the y
Graph Y=-3/2x-3
Plz help me
Answer:
Ask your mom or dad
Step-by-step explanation:
Answer:
See explaination
Step-by-step explanation:
y = mx+b form.
So first, b is the y intercept, where the line intercepts the y axis. So, put a dot at -3. After that, do the slope. Rise over run. So, go down 3 (because negative) and to the right 2. Then, put a line through the dots and you'll have your graph. If you need me to graph just ask.
s the relation shown in the table below a function? Explain. *
(NEED HELP ASAP)
Answer:
it is not a function
Step-by-step explanation:
Its not a function because the number 3 in the input is being repeated, and when a domain number is repeated its not a function
PLEASE HELP!
If Mr Mantle invests $15,000 in an account with 8% interest compounded
weekly how much would he have after 9 years?
a) $19,019,635.24
b) $16,119.74
c) $30,799.45
d) $30,798.77
Answer: c
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
because if you multiple 15,000 by 8% it will give you 1,200 and you multiple it by 15,000 and you will get close to a
Solve by factoring:
X^2-13x-14=0
Answer:
x = -1 and x= 14
Step-by-step explanation:
x^2 -13x -14=0
x^2 + x- 14x -14 = 0
x(x+1) -14(x+1) = 0
(x+1)(x-14) =0
x+1 = 0
x= -1
x-14=0
x= 14
Answer:
x = -1, x = 14.
Step-by-step explanation:
Apples are selling for $0.36 a pound. Charmaine spent $4.86 on apples. How many pounds of apples did Charmaine buy?
I pounds
Answer:
13.5 pounds
Step-by-step explanation:
factor the following expression 12y - 16
Answer:
it's 4(3y-4)
Step-by-step explanation:
shout out to jazzy6805 for correcting me
Answer:
4(3y-4)
Step-by-step explanation:
sorry if wrong
In ΔLMN, l = 8.7 cm, m = 2.3 cm and n=6.6 cm. Find the measure of ∠M to the nearest degree.
Answer:
7
Step-by-step explanation:
\underline{\text{Solution Method 2:}}
Solution Method 2:
Use original formula
a^2=b^2+c^2-2bc\cos A
a
2
=b
2
+c
2
−2bccosA
From reference sheet.
\text{Since we are finding }\angle M\text{,}
Since we are finding ∠M,
\text{plug in }2.3\text{ for side }a:
plug in 2.3 for side a:
Opposit the angle we want
2.3^2 = 6.6^2+8.7^2-2(6.6)(8.7)\cos M
2.3
2
=6.6
2
+8.7
2
−2(6.6)(8.7)cosM
Plug in values. Side "a" is opposite the wanted angle.
5.29 = 43.56+75.69-114.84\cos M
5.29=43.56+75.69−114.84cosM
Square sides.
5.29 =
5.29=
\,\,\color{white}{-} 119.25-114.84\cos M
−119.25−114.84cosM
Add.
-119.25=
−119.25=
\,\,-119.25
−119.25
-113.96=
−113.96=
\,\,-114.84\cos M
−114.84cosM
\frac{-113.96}{-114.84}=\cos M
−114.84
−113.96
=cosM
Divide to solve for cos(A).
M= \cos^{-1}(\frac{-113.96}{-114.84})\approx7.098\approx 7^{\circ}
M=cos
−1
(
−114.84
−113.96
)≈7.098≈7
∘
The angle according to the given data about the triangle will be equal to 7°.
What is an angle?An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol ∠.
Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.
As per the given information in the question,
The length of the sides is given as:
l = 8.7 cm
m = 2.3 cm
n = 6.6 cm
Use the formula given below to find the angle,
a² = b² + c² - 2bc cos A
The formula modified to the information will be,
m² = n² + l² - 2nl cos M
2.3² = 6.6² + 8.7² - 2(6.6)(8.7)cos M
5.29 = 43.56 + 75.69 - 114.84 cos M
-119.25 + 5.29 = -114.84 cos M
cos M = 113.96/117.84
M = cos⁻¹ 0.992
M = 7.09 ≈ 7°.
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