Answer:
x³ - 4x² - 16x + 24
Step-by-step explanation:
Step 1: Write expression
(x - 6)(x² + 2x - 4)
Step 2: Distribute each term
x³ + 2x² - 4x
-6x² - 12x + 24
Step 3: Combine
x³ + 2x² - 4x - 6x² - 12x + 24
Step 4: Combine like terms
x³ - 4x² - 16x + 24
Useing order of operations (32/8)+27-11
Answer:
20
Step-by-step explanation:
Using order of operations, we have to divide 32 by 8 first since its in parentheses, then add and subtract from left to right, so: (32/8)+27-11 = 4 + 27 - 11 = 31 - 11 = 20
i need help with this q9
Answer:
no
Step-by-step explanation:
A proportional relationship must go through the point ( 0,0). This does not go through the origin so this is not proportional
The relationship is linear but non proportional. The graph is a line but it does not go through the origin.
((-2,3) and (4,7)
what is the distance of this
Answer:
Step-by-step explanation:
(-2, 3 ) ; (4 , 7)
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]=\sqrt{(4-[-2])^{2}+(7-3)^{2}}\\\\=\sqrt{(4+2)^{2}+(7-3)^{2}}\\\\=\sqrt{6^{2}+4^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}[/tex]
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks white black blue brown
Number of socks 6 4 9 5
The ratio of white socks to brown socks is
Answer:
[tex]white \: socks \: number = 6 \\ brown \: socks \: number = 5 \\ \frac{w \: s \: n}{b \: s \: n} = \frac{6}{5} = 1.2 [/tex]
The ratio of white socks to brown socks is 6:5.
Given that,
The white socks number is 6 and the brown sock number is 5.Based on the above information, the calculation is as follows:
= 6:5
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how many hours would it take for a car to travel 150 miles at an average rate of 50 miles per hour
Answer:
3 hours
Step-by-step explanation:
If a car is traveling 50 miles an a hour, then divide 150 into 3, we are using 3 because it is 3 hours.
Answer:it will take the car 3 hours
Can someone please answer some of my questions?
*They are all math
Answer:
DA FA WERE ARE THE QUESTIONS?????????
Step-by-step explanation:
3.d) A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles? * O 4:12 O 12:4 O 4:1 O 1:4
Explanation:
For every 4 blue, we have 12 yellow. This means 4+12 = 16 total.
The ratio of blue to total is 4:16 which reduces to 1:4 when we divide both parts by 4. The order of the values matters since 1:4 is different from 4:1.
what is the slope of the line that passes through the points (7,-9) and (15,-29)
I NEED HELP ASAP PLEASE!!!!!!
Answer:
3/4
Step-by-step explanation:
cross multiply: 8n=6
solve: n=6/8
simplify: n=3/4
Use the graph of the lines to determine if the two lines
are parallel.
units and right
Line MN was translated down
units to create line M'N'.
The slope of MN
The slope of M'N'
Answer:
(in order): 4, 8, -2, -2
Step-by-step explanation:
The slope of MN = -1.
The slope of M.N. = -1.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given information:
The two lines MN and M'N' are parallel.
Transformation rule:
Line MN was translated down to 4 units and right to 6 units to create line M'N'.
And line MN passes through two points (-2, 0) and (-6, 8).
Therefore, the slope of line MN,
= (8- 0)/(-6-2)
= -1
Since lines MN and M'N' are parallel, they have the same slope.
Therefore, the slope of M'N' is also -1.
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solve.
6- X = 2x + 9
Tulip bulbs are on sale at store A, at 5 for $11.00, and the regular price at store B is 6 for $13. Is each store pricing tulip bulbs at the same rate? Explain how you know.
Answer:
No, they are not sold at the same rate
Step-by-step explanation:
An easy way to figure situations like these can be taking the number of items there and then dividing by the total price. For A, each bulb costs $2.2, for B each bulb costs $2.1666.
11/5=2.2
13/6=2.1666
Need help ASAP Tysm
Answer:
20
Step-by-step explanation:
Plug in the variables
2(-4)^2 + 4(-3)
32 + -12
= 20
A student wants to conduct an investigation to find out how much heat energy a 100-gram rock can transfer to water. He has the rock and 300 grams of water in an insulated container. The water is at 20°C. He heats up the rock to 50°C, and places it in the water. What is the most important data for the student to record for this investigation?
I need help with 7th grade science
Answer: The temperature change of the water
The most important data that the student would have to record for the investigation that he is carrying out is temperature.
What is temperature?This is the term that is used to refer to the degree of hotness or the degree of coldness of a given body.
The temperature is the solution here because the factor that the student is set to find out would be how heat is able to transfer to water.
The variable that would be used to represent heat is going to be temperature. This is what would help to determine the amount of heat that has transferred.
This can be checked with the use of a thermometer. The investigation that the student is carrying out here would be what is called a research study.
Heat is one of the variables that is used in the research study. Therefore we can conclude by saying that the most important data that is going to be used in this research would be what is called temperature.
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Only 0.1% of the individuals in a certain population have a particular disease (an incidence rate of 0.001). Of those who have the disease, 95% test positive when a certain diagnostic test is applied. Of those who do not have the disease, 90% test negative when the test is applied. Suppose that an individual from this population is randomly selected and given the test: a) Calculate P(positive test) b) Calculate P(has disease | positive test)
We're given
P(has disease) = 0.001
P(positive test | has disease) = 0.95
P(negative test | does not have disease) = 0.90
(a) By the law of total probability,
P(positive test) = P(positive test AND has disease) + P(positive test AND does not have disease)
Recall that the probability of an event A conditioned on another event B is
P(A | B) = P(A AND B) / P(B)
so that
P(positive test) = P(positive test | has disease) * P(has disease) + P(positive test | does not have disease) * P(does not have disease)
P(positive test) = 0.95 * 0.001 + (1 - 0.90) * (1 - 0.001)
P(positive test) ≈ 0.10
(b) From the definition of conditional probability, we hvae
P(A | B) = P(A AND B) / P(B) = P(B | A) P(A) / P(B)
so that
P(has disease | positive test) = P(positive test | has disease) * P(has disease) / P(positive test)
P(has disease | positive test) = 0.95 * 0.001 / 0.10
P(has disease | positive test) ≈ 0.0094
The probability will be "0.017699".
Given:
Incident rate,
0.1% or 0.001[tex]P(D) = 0.001[/tex][tex]P(D')= 1-0.001[/tex][tex]= 0.999[/tex]
[tex]P(\frac{P}{D} ) = 0.95[/tex][tex]P(\frac{N}{D} ) = 0.9[/tex]Now,
→ [tex]P(\frac{N}{D'} ) = 1-P(\frac{N'}{D'} )[/tex]
[tex]= 1-0.95[/tex]
[tex]= 0.05[/tex]
then,
→ [tex]P(\frac{D}{N} ) = \frac{Pr(D)\times P(\frac{N}{D} )}{P(N)}[/tex]
or,
[tex]= \frac{Pr(D)\times P(\frac{N}{D} )}{P(D) \ P(\frac{N}{D} )+P(D') \ P(\frac{N}{D'} )}[/tex]
By substituting the above values, we get
[tex]= \frac{0.001\times 0.9}{0.001\times 0.9+0.999\times 0.05}[/tex]
[tex]= \frac{0.0009}{0.0009+0.04995}[/tex]
[tex]= \frac{0.0009}{0.05085}[/tex]
[tex]= 0.017699[/tex]
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Someone please helppp.
Answer:
11 times
Step-by-step explanation:
For every muffin, she uses 1/3 cup of sugar. 3 2/3 = 11/3
11/3 divided by 1/3 is 11.
what is the square root of 3.24
what is the answer is what =
Answer: 6
Step-by-step explanation:
14-8=6
Answer:
the answer is 6 since it says fewer we'll be using subtraction or the minus sign so 14-8=6
Help please
And thank you so much
Answer:
$0.1 /lb.
Step-by-step explanation:
First, divide 1.99 by 19. You get 0.1047368421. To round it to the nearest hundred, look to the number 3 points away from the decimal, which is number 4. Since it is not 5 or greater, we round it down, and it would round down to 0.1.
Which explains how to find the question of the division below
-3 1/3 divided by 4/9
Answer:
B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4
lin's dad bought a tablet. he pays the same amount each month for a subscription to a movie streaming service.the graph represents how much money he spent,y, for the tablet and x months of the service. Which graph corresponds to this situation?
Answer: Graph 1
Step-by-step explanation:
At 0 months, Lin's dad had already spent money to buy the tablet so the line should not start at 0. That rules Graphs 4, 5 and 6 out.
He pays the same amount every month so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out Graphs 2 and 3 as the movements on Y are not equal on the line.
This leaves Graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.
In this exercise, we have to recognize the best graph that corresponds to what is treated in the text, that is, the graph that best corresponds to a monthly fee, in this way we find that it is:
Graph 1
First, we are dealing with finances in this way, we have that a tablet has already been purchased so our chart will not start at the null point (x=0) but from the value of the purchased item. In this way, we know that graphics 4, 5 and 6 must be excluded.
In addition to the purchased item, we know that the monthly fee is the same amount every month as long as this program exists so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out graphs 2 and 3 as the movements on Y are not equal on the line.
This leaves graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.
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3 4 5 6
At what position on the number line is the red dot located?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
because
Which table represents a linear function?
Write the equation for the perpendicular bisector of the given line segment.
A) y = x + 1
B) y = -x + 1
C) y = -x + 3
D) y = -x + 4
Answer:
It would be c)
Step-by-step explanation:
-X/3=9 linear equations
Answer:
x = -27
Step-by-step explanation:
-x/3 = 9
Multiply each side by -3
x/-3 * -3 = 9*-3
x = -27
See attachment for math work and answer.
X2+ 5x -24=(x – 3) (x + m)
Answer:
m = 8
Step-by-step explanation:
put -24 into the equation so : [tex]x^{2} +5x -24[/tex] find two numbers that : times to make -24, and add to make 5those two numbers are 8 and -3 (since 8-3=5 and 8*-3=-24)put those into double brackets: (x-3)(x+8)(x-3)(x+8) = (x-3)(x+m)+8 goes into where m ism = 8It took Chris four minutes less than twice the amount of time as Holly to complete her homework. It took Holly thirty minutes to complete her homework. Write a numerical expression to describe the amount of time it took Carrie to complete her homework. Use parentheses for multiplication and do not put any spaces in your expression.
Answer:
30-4=26/2=13
Step-by-step explanation:
30-4=26
26/2=13
Seven times a number is forty-two less than the number. What is the number?
Answer:
7x=42=6
Step-by-step explanation:
7x=42
x=42/7
x=6
Answer:
- 7Step-by-step explanation:
x ← a number
7x ← seven times the number
x - 42 ← forty-two less than the number
Seven times a number is forty-two less than the number.
7x = x - 42
-x -x
6x = -42
÷6 ÷6
x = -7
help !! i will give anything for help
Answer:
From what i can see i believe it is similar
Step-by-step explanation:
(Let me know if you need me to be more descriptive)
Answer:
they are similar. the measures of the corresponding sides of two triangles are proportional. DE is proportional to NM, and EF is proportional to NP, both as a 2:1 ratio.
Step-by-step explanation:
HELP PLS
In an animal shelter, the ratio of dogs to cats is 5 to 4. There are 25 dogs. What is the total number of animals in the animal shelter? WRITE the proportion.
Answer:
45
Step-by-step explanation:
5-4
25-20
