Answer:
16.129
Step-by-step explanation:
11+15+5=31
5÷31=0.16129
0.16129x100
=16.129
2x[tex]2x^{2} - 14x + 24[/tex]
100 Pts!! HELP ASAP!!!!!!!!!
Write the equation of the graph shown below in factored form.
A. f(x) = (x − 3)2(x + 2)(x − 1)
B. f(x) = (x + 3)2(x − 2)(x + 1)
C. f(x) = (x + 3)2(x + 2)(x + 1)
D. f(x) = (x − 3)2(x − 2)(x − 1)
Answer:
[tex]\text{D. }f(x)=(x-3)^2(x-2)(x-1)[/tex]
Step-by-step explanation:
The equation below shows three zeroes at [tex]x=1[/tex], [tex]x=2[/tex], [tex]x=3[/tex]. By definition, these values of [tex]x[/tex] must yield a y-value of zero. Since the function bounces off of [tex]x=3[/tex], there must be two occurrences of it.
Thus, the equation of this line, in factored form, is [tex]\boxed{f(x)=(x-3)^2(x-2)(x-1)}[/tex]
Only answer if you're very good at Math.
What is the minimum value of the function g(x) = x^2 - 6x - 12?
A: -21
B: 3-√21
C: 3
D:3+ √21
Answer:
A: -21
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
Quadratic function:
[tex]g(x) = x^2 - 6x - 12[/tex]
So [tex]a = 1, b = -6, c = -12[/tex].
Minimum value:
This is the y-value of the vertex. So
[tex]\Delta = b^2-4ac = (-6)^2 - 4(1)(-12) = 36+48 = 84[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{84}{4} = -21[/tex]
The minimum value is -21, and the correct answer is given by option A.
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?[plz help mee!!]
Answer:
a = 137.6
Step-by-step explanation:
The building and the street make a 90 degree angle. You have the length b, which is the height 1,484ft. The angle B 84.7 is created where he stands and looks up.
First, find the missing hypotenuse, c. Your angel A is 180 - 90 -84.7 = 5.3
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin( B)=opp/hyp
sin(84.7) = 1484 / c
c = 1484/sin(84.7)
c=1490.37
Find the last side of the triangle, in this case the distant from Leo to the building, using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} = c^{2} -b^{2} \\a^{2} =1490.37^{2} -1484^{2} \\a=137.6[/tex]
PLEASEEEEE HELPPPPP PLEASEEE !!!
Answer: 2
Step-by-step explanation: Rate of change is also defined as slope, so using the rise over run method, you can see that the slope of the line is +2.
Evaluate 9x^2y^-2 for x = -3 and y = 2.
324
20 1/4
9(-6)°
1/144
9514 1404 393
Answer:
(b) 20 1/4
Step-by-step explanation:
9(-3)^2(2^-2) = 9(9)(1/4) = 81/4 = 20 1/4
Find the midpoint of the segment that has endpoints at
(a+b, a-b) and (a, b).
Answer:
((2a+b)/2 , a/2)
Step-by-step explanation:
The midpoint is the mean/average of both the x and y values.
Our x values are a+b and a
Our y values are a-b and b
The midpoint x value is (a+b + a ) /2 = (2a + b)/2
The midpoint y value is (a-b + b) /2 = (a)/2
The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint
Andnhaikalnandanunnhana
5.
4
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5 4 3 -2 -1
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2
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Please help!!!! I need this ASAP Help
Answer:
Step-by-step explanation:
If x is -1, then the point on the parabol is (-1,4)
If x is 0, then the point on the parabol is (0,-2)
If x is 1, then the point on the parabol is (1,-6)
Find the value of x.
Answer:
[tex]4/12=x/18[/tex]
[tex]x=4*18/12[/tex]
[tex]x=6[/tex]
--------------------------
hope it helps...
have a great day!!
A cone has a height of 20 yards and a radius of 20 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
8377.6 yards
Step-by-step explanation:
The formula for the volume of a cone is V=1/3hπr²
then ->
[tex] \frac{1}{3} \times 20 \times \pi \times {20}^{2} = \frac{8000}{3} \pi = 8377.58041 \: yards[/tex]
Question 13
Find the volume of the prism.
Answer:
[tex]\boxed {\boxed {\sf B. \ 324 \ cm^3}}[/tex]
Step-by-step explanation:
The volume of a triangular prism is the product of the area of the triangular cross-section (B) and the height (h).
[tex]V= B*h[/tex]First, let's find the area of the triangular cross-section/the end of the triangle. The area of a triangle is:
[tex]B= \frac{1}{2} b*h[/tex]
The base of the triangle base (not the prism) is 6 centimeters and the height is 9 centimeters.
b= 6 cm h= 9 cm[tex]B= \frac{1}{2} (6 \ cm)(9 \ cm)[/tex]
Multiply the numbers in parentheses.
[tex]B= \frac{1}{2}(54 \ cm^2)[/tex]
Multiply by 1/2 or divide by 2.
[tex]B= 27 \ cm^2[/tex]
Now we know the area of the cross-section or base is 27 square inches. The height of the prism is 12 centimeters.
B= 27 cm²h= 12 cmSubstitute the values into the volume formula for a triangular prism.
[tex]V= 27 \ cm^2 * 12 \ cm[/tex]
Multiply.
[tex]V= 324 \ cm^3[/tex]
The volume of the prism is 324 cubic centimeters and choice B is correct.
The volume of the triangular prism is 324 cubic centimeters, and choice B is correct.
The volume of a triangular prism is determined by multiplying the area of the triangular cross-section (B) by the height (h). In this case, the base (b) of the triangular cross-section is given as 6 centimeters, and the height (h) is given as 9 centimeters.
To find the area of the triangular cross-section (B), we can use the formula for the area of a triangle: B = (1/2) * base * height.
Substituting the values:
B = (1/2) * 6 * 9 = 27 square centimeters.
Next, we multiply the area of the cross-section (B) by the height (h) to find the volume (V) of the prism:
V = B * h = 27 * 12 = 324 cubic centimeters.
Therefore, the volume of the triangular prism is 324 cubic centimeters, and choice B is correct.
To know more about triangular prism:
https://brainly.com/question/27102803
#SPJ6
The function h is defined by the following rule h(x)=-5x-3
i am a multiple of 7 and divisible by 4 if i am less than 30 what number am i?
Answer: 28
Step-by-step explanation:
The multiples of 7 that's less than 30 include: 7, 14 , 21 and 28.
From the numbers above,
7 isn't divisible by 4 as it gives a remainder.
14 isn't divisible by 4 as it gives a remainder.
21 isn't divisible by 4 as it gives a remainder.
28 is divisible by 4 without a remainder
Therefore, the correct answer should be 28
Solve for x.
2x^2 − 11 = 21
x= or x=
(both x= need to be answered)
Answer:
x = 4 or x= -4
Step-by-step explanation:
2x^2 − 11 = 21
Add 11 to each side
2x^2 − 11+11 = 21+11
2x^2 = 32
Divide by 2
2x^2 /2 = 32/2
x^2 = 16
Take the square root of each side
sqrt(x^2) = sqrt(16)
x = ± 4
x = 4 or x= -4
The price of a technology stock has risen to $9.84 today. Yesterday's price was $9.73. Find the percentage increase. Round your answer to the
nearest tenth of a percent.
Answer:
the answer this number ...
Answer a, b and c. See image below
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]
[tex]\frac{9}{15}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]
The common denominators of the two fractions is 30. Comparing the two fractions:
[tex]\frac{21}{30} >\frac{18}{30}[/tex] or [tex]\frac{18}{30}<\frac{21}{30}[/tex]
so we get: [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Suppose you work for a marketing consulting firm and you are tasked to determine the proportion of Americans who respond positively to an ad your agency is testing for release. A survey is performed and you randomly select 134 respondents. You input your data into a statistical computing package (like Minitab) and you are given a 95% confidence interval of ( 0.2841 , 0.4472 ). You need to present these findings in the next departmental meeting. What is the correct interpretation of this interval
Answer: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).
Step-by-step explanation:
Interpretation for 95% confidence interval:
A person can be 95% confident that the true population parameter lies in it.
here , population parameter = Population proportion of Americans who respond positively to an ad your agency is testing for release.
Required interpretation: A person can be 95% confident that the true population proportion of Americans who respond positively to an ad your agency is testing for release lies in ( 0.2841 , 0.4472 ).
Write the equation in standard form for the circle with center (-3,3) and radius 3
Answer:
(x+3)^2+(y−3)^2=9
Step-by-step explanation:
The equation for a circle is given by
(x−h)^2+(y−k)^2=r^2 where (h,k) is the center and r is the radius
(x− -3)^2+(y−3)^2=3^2
(x+3)^2+(y−3)^2=9
Given the linear equation 3x + y = 5, find the slope of its graph
A) -5
B) -3
C) 3
D) 5
Which is the correct answer
Answer:
B) -3
Step-by-step explanation:
1. First you have to write the equation in slope intercept form. To do that, you must have y be alone on one side.
2. move the 3x to the right side with the 5 by subtracting 3x from both sides. Since 3x will cancel on the left, y will be left alone. [tex]y=-3x+5[/tex]
3. Now that you're in slope intercept form, you can find the slope easily. The slope will always be the number in front of x. In this case, the number in front of x is -3. Therefore, -3 is your slope!
Answer:
Answer is B
Step-by-step explanation:
if you add 3x +y = 5 and work throu
25p+1t=51
solve for t
Answer:
t = 51 - 25p
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
25p + 1t = 51
Step 2: Solve for t
[Subtraction Property of Equality] Subtract 25p on both sides: 1t = 51 - 25pSimplify: t = 51 - 25pWhat is the height of a rectangular prism, if the volume is 750 cm, the length 25 cm, and the width is 5 cm?
Answer:
6 cm
Step-by-step explanation:
Volume of a prism= Length X Width x height
750 = 25 x 5 x h
750= 125h
750/125 = 125h/125
h= 6
Answered by Gauthmath
How to factorise? 5x+10
Answer:
5(x+2)
Step-by-step explanation:
each term, 5x and 10, have only the number 5 in common
factor out the 5 to get:
5(x+2)
What is the answer pls I need finals
Answer:
[tex]( - 2,1)[/tex]
Step-by-step explanation:
Hope it is helpful...
The coefficient of x in the expansion of (x + 3)(x - 1) is
It’s either
2
-2
-3
4
Answer:
[tex]{ \tt{(x + 3)(x - 1)}} \\ = { \tt{ {x}^{2} - x + 3x - 3 }} \\ = { \tt{ {x}^{2} + 2x - 3 }} \\ \\ { \boxed{ \bf{coefficient = 2}}}[/tex]
help me please with these questions
Answer:
17) option b
18) option b
19) option d
Step-by-step explanation:
17)
Cost of 25 burgers = $75
Therefore , cost of 1 burger:
[tex]\frac{75}{25} = 3[/tex]
18)
Area of rectangle = length x breadth
[tex]\frac{7}{6} = length \times \frac{5}{6}\\\\\frac{7}{6} \times \frac{6}{5} = length \\\\\frac{7}{5} = length \\\\Length = \frac{7}{5} \ km[/tex]
19)
14.25
x 6.3
_________
4275
+ 8550
__________
89.775
___________
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange. By what percentage is the grapcfruit heavier than the apple?
Answer:
The grapefruit is 18% heavier than the apple.
Step-by-step explanation:
Orange defines the 100% in this situation.
We know that grapefruit is 8% heavier than an orange, so the weight of a grapefruit (in percentage) will be: 100% + 8% = 108%
And an apple is 10% lighter than the orange, then the weight (in percentage) of the apple will be: 100% - 10% = 90%
The difference between the two weights is then:
grapefruit - apple
108% - 90% = 18%
So the grapefruit is 18% heavier than the apple.
−8x − 6y = 24
Find the x−and y−intercepts.
Answer:
y = − 4 + 4 x 3
x = − 3 − 3 y 4
IN DESPERATE NEED OF HELP! PLEASE ANSWER!! Which of the following represents the synthetic division form of the long division problem below? (x^2+9x-2)÷(x-4)
Answer:its d
Step-by-step explanation:
If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.
Answer:
y = -4x + 25
Step-by-step explanation:
[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]
Equation of line :
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]
Answer:
0=4x+y-5
Step-by-step explanation:
slope(m)=-4
y-intercept(c)=5
now, the equation joining the straight line satisfy the equation,
y=mx+c
or, y= -4x+5
or, 4x+y-5=0
or, 0=4x+y-5
it is the required equation.