Answer:
10[tex]\frac{1}2}[/tex]
Step-by-step explanation:
10.5 represents a whole number of 10 and a leftover .5 value.
.5 represents one half
the fraction for one half is 1/2.
leaving you with 10[tex]\frac{1}{2\\}[/tex]
Write the quadratic function f(x) = 3(x + 1)(x – 7) in standard form.
A)
f(x) = x2 – 18x – 21
B)
f(x) = 3x2 – 18x – 21
C)
f(x) = x2 – 6x – 7
D)
f(x) = 3x2 – 6x – 7
Answer:
B
Step-by-step explanation:
Given
f(x) = 3(x + 1)(x - 7) ← expand the factors using FOIL
= 3(x² - 6x - 7) ← distribute the parenthesis
= 3x² - 18x - 21 → B
Can you help me out on this question?
Answer:
4. x= 18
Step-by-step explanation:
We solve the problem like this:
Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.
3/9 = 6/x
We then use cross-multiplication to solve for x.
Which is greater 8/25 or 0.32
[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.
This means that these two are equal. hope this helps!
8/25 is equal to 0.32
let me know if u need explanation
x f(x)
--------
-3 -18
-2 -4
-1 0
0 0
1 2
2 12
3 36
What is the degree of the polynomial represented in the table?
4
5
2
3
Answer:
I think that the answer is 4
Help with my math plesae 100 POINTS POINT STEALING = REPORT
Answer:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
Step-by-step explanation:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
The converse is interchanging what is given and what is proven.
Answer:
side lengths;a2 + b2 = c2;triangle abc is a right angle
explanation= when you add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2
thats the answer mate hope it helps
What is the area of this triangle?
PLSSS I WILL GUVE YOU THE POINTS
Answer:
12
Step-by-step explanation:
In the picture above, y equals to ___
degrees. The acute angle (2y+6) measures___
degrees and its obtuse linear pair measures___
degrees. The variable x equals to___
degrees.
Answer:
y=18 and (2y+6) measures 42 the answer for obtuse 138 the last one is 46
Help pure people pls get brainliest
Answer:
hi there!
The correct answer is: 5
Step-by-step explanation:
The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
and since the two points given are: (2,1) and (5,5)
you plug in the points and you get: 5
[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]
[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25 } = 5[/tex]
Answer:
The correct answer is five
Step-by-step explanation:
The slope is 4/3 and since the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples
Noah gathered information on the home states of the swimmers on Team USA. He organized the data in a table. Would a dot plot be appropriate to display his data? Explain your reasoning.This dot plot shows the ages of students in a swimming class. How many students are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain your reasoning.
The class is an adult swimming class.
Half of the students are between 2 and 3 years old.
Answer:
1. No; 2. 16; 3. No; 4. Yes
Step-by-step explanation:
1. Home states of Olympic swimmers
A dot plot compares frequency counts within groups, usually with small sets of data.
Thus, it is great for visualizing quantitative data.
Home states are qualitative data.
It might be better to use a packed bubble chart, especially if more than 20 to 30 states are on the team.
In such a chart, the frequency with which the state name is mentioned would determine the relative bubble size.
It might look like the imaginary chart shown below.
A dot plot would not be appropriate.
2. Number of students
No. of students = 2 + 1 + 2 + 3 + 2 +1 + 1 + 2 + 2 = 16
3. Is this an adult swimming class?
The ages of the students range from 18 mo to 32 mo.
This is not an adult swimming class.
4. Ages of half the students
Half of 16 students is eight students.
The eight oldest students range in age from 25 mo to 32 mo.
This is between the ages of 2 yr to 3 yr (24 mo to 36 mo), so
Half the students are between 2 yr and 3 yr old.
Answer:
(1. No) (2. 16) (3. No) (4. Yes)
Step-by-step explanation:
Hope this helps!!
what's the conversion factor used to convert inches to yards ?
The conversion factor used to convert inches to yards is: 36 inches in 1 yard.
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Step-by-step explanation:
Please help, due tomorrow
Answer:
E. CI = 102.79
please need help I will be MARKING as BRIANILIST. thank you so much
Answer:
Step-by-step explanation:
a, as the x axis increases, so does the y axis
b, temperature outside v ice cream sales
hours studied v grade on test
c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation
Which equation can be used to find the measure of angle LKJ?
cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Answer:
fourth option
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )
Answer:
D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]
Step-by-step explanation:
Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.
sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.
Find the sum
[tex](4 {xy}^{2} - {3x}^{2}y - 5xy - 6 ) + ( - {5xy}^{2} - 2xy + 3)[/tex]
Answer:
[tex]-3x^2y-xy^2-7xy-3[/tex]
Step-by-step explanation:
[tex](4xy^2-3x^2y-5xy-6)+(-5xy^2-2xy+3)[/tex]
[tex]4xy^2-3x^2y-5xy-6-5xy^2-2xy+3[/tex]
[tex]-3x^2y-xy^2-7xy-3[/tex]
what is 15 divided by 82?
82 ÷ 15 = 5.4
Mixed number form: 5 ⁷/₁₅
Answer:
the answer is 5.4
Step-by-step explanation:
The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how many adults are there at the library?
Answer:
The answer is 108.
Step-by-step explanation:
This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00
Answer:
Step-by-step explanation:
Hypotenuse^2=3^2+8^2
Hypotenuse^2=9+64=73
Hypotenuse =square root of 73
Hypptenuse =8.54
Answer:
8.54
Step-by-step explanation:
I took a test
Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.
a. What percentage of gold is 21 carat?
b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
[tex]x + y = 90[/tex]
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]
We now have a system of equations which we can solve to find the necessary mass of each type.
[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]
[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Step-by-step explanation:
Thomasina wrote down a number that is both rational and a whole number. What is one possible number she could have written down?
Answer:
1
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero) and a and b are co-prime ( no common factors)
A whole number is rational (2 for example can be written as 2/1).
It could have been 2 or 3 or 33.
A football is punted into the air. Its height h, in meters, after t seconds is given by the equation b) When will the ball reach a height of 30.4 meters?
Answer:
h = mt
Step-by-step explanation:
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7
Answer:
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]
Required
Which of the above is a quadratic function
A quadratic function has the following form;
[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function
[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]
[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]
Unlike the quadratic function where [tex]a\neq 0[/tex]
So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition
(07.06 LC) Which statement is true about the equation fraction 4 over 5z − fraction 1 over 5z + 4 = fraction 3 over 5z + 6? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
Answer: no solution
Step-by-step explanation: 4/5z - 1/5z = 3/5z
3/5z + 4 = 3/5z + 6
No solution
Answer:
[tex]$z=-\frac{48}{55} $[/tex]
It has one solution.
Step-by-step explanation:
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.
The values for [tex]z[/tex] are:
[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]
Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:
In this case: [tex](5z+4)(5z+6)(5z)[/tex]
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]
I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.
[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]
[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]
[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]
[tex]200z+96-30z=60z[/tex]
[tex]200z-90z=-96[/tex]
[tex]110z=-96[/tex]
[tex]$z=-\frac{96}{110} $[/tex]
[tex]$z=-\frac{48}{55} $[/tex]
Kennedy can type 150 words in 2 minutes. How many words per minute can Kennedy type?
words per minute
Answer:
75
Step-by-step explanation:
Answer:
75wpm
Step-by-step explanation:
150 ÷ 2 = 75
75 wpm
question in attachment
Answer:
The range within 1 standard deviation :155.12 ,328.38
Step-by-step explanation:
Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]
Mean =241.75
[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]
Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]
Standard deviation =86.63
Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]
Range within 1 standard deviation :(241.75-86.63,241.75+86.63)
Range within 1 standard deviation :155.12 ,328.38
Hence The range within 1 standard deviation :155.12 ,328.38
Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.
Answer:
It is irrational because a rational number expressed as the quotient or fraction of two integers
Step-by-step explanation:
Find the height of this shape, which has a volume of 21/32 cubic feet. Enter answer as a simplified fraction.
L=3/4
W= 1/4
Answer:
h=14
Step-by-step explanation:
3/4*1/4=3/16
21/32/(3/16)=14
Answer:
h=25
Step-by-step explanation:
Which statement is true about the right angles ABC and DEF
please help me with this question (pic attached) explain if you can
Answer:
For x=1 substituting in f(x) the value of x
f(1)=-3(1)+1 = -2
For x=0 substituting in g(x) the value of x
g(0)=3^(0) =1
Finally, we have to find for what value of x the function f(x) gives -8
f(x) = -8
-8 = -3x+1
-3x=-9
x=3
Vlad tried to solve an equation step by step.
Find Vlad's Mistake.
Answer:
I think that it’s correct
Step-by-step explanation:
Answer:
Vlad did not make a mistake
Step-by-step explanation:
Khan academy 7th grade inequalities quiz 2 and unit test