Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = ← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points
Answer:
The equations of the line are
y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B
y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y1=m(x-x1)[/tex] , where
m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex]∵ The line passes through points (-4, -7) and (3, 2)
∴ x1 = -4 and y1 = -7
∴ x2 = 3 and y2 = 2
→ Use the rule of the slope above to find it
∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]
∴ The slope of the line is [tex]\frac{9}{7}[/tex]
→ Substitute the values of m and (x1, y1) in the form of the equation above
∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)
∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
∴ The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)
→ Substitute the values of m and (x2, y2) in the form of the equation above
∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
∴ The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)
→ Look at the answers to find the same equations
∴ Answers B and E have the same equations
PLEASE HELP ASAP 50 POINTS!!!!!
Which equation represents an exponential function with an initial value of 500?
A: f(x) = 100(5)x
B: f(x) = 100(x)5
C: f(x) = 500(2)x
D: f(x) = 500(x)2
Answer:
the answer is a because all the other ones are multiplying a different number
Answer:
the answer is a because you have to put the x after the five.
Step-by-step explanation:
I did this last year in my math class
Consider the statement: 4 − 3 + 5 = −6 + 8 + 4. This is a mathematically
correct sentence.
Answer:
yes it is true
Step-by-step explanation:
they both equal 6
Answer:
no.
Step-by-step explanation:
4-3+5= -6+8+4
-4 does not equal 6
find the value of x if n(x)=-6x+10 when n(x)=58
Answer:8
Step-by-step explanation:
6x+10=58
6x=48
X=8
What is the solution to log9(6x + 27) ≤ 2?
(–4.5, ∞)
(–4.5, 9]
[–4.5, 9]
(–∞, 9]
Answer:B (-4.5,9]
That’s the answer I think, honestly we all just trying to pass
I am thinking of a number. Its square root
is an integer. Its cube root is an integer.
Answer:
You may be thinking about 64
Step-by-step explanation:
64 = 8*8 = (2*2*2) * (2*2*2)
64 = 4*4*4 = (2*2) * (2*2) * (2*2)
Suzanne bought 3.25 pounds of red delicious
apples at a price of $1.32 per pound. How much
did Suzanne spend on the apples?
Answer:$9.24
Step-by-step explanation:
Answer:
Suzanne spent $4.29 on the apples
Step-by-step explanation:
this is known because you need to add 1.32 three times then add .33 to it which will give you 3.96 + .33 = 4.29
2) There are fourteen shirts in your closet,
seven blue and seven green. You
randomly select one to wear on Monday
and then a different one on Tuesday. You
wear blue shirts both days.
Answer: 7/14 possibility to get a blue shirt which would be a 50% chance
Step-by-step explanation:
7 blue+7 green = 14 colors
What is 33 and 1/3 as a percent?
Answer:
33 is 33 % of 100 and 1/3 is 33.33 %
Step-by-step explanation:
Hope this helps!!
Answer:
33.3333333333333.........%
Step-by-step explanation:
Identify the constant proportionality: k=
Answer:
is there any more info?
Step-by-step explanation:
I don't see any info in order for me to solve this
What is 25% of 80?
x=2
x=75
x=20
Answer:
X=20
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
.25 times 80 (of means to multiply)
Solve the following equation:
(5х + 1) / 2 = 3х
[tex]\sf\underline\purple{Question}[/tex]
[tex]\longrightarrow\dfrac{5x+1}{2}=3x[/tex]
[tex]\sf\underline\blue{Answer}[/tex]
[tex]\leadsto\dfrac{5x+1}{2}=3x[/tex]
[tex]\leadsto{5x+1=3x×2}[/tex]
[tex]\leadsto{5x+1=6x}[/tex]
[tex]\leadsto{1=6x-5x}[/tex]
[tex]\leadsto{1=1x}[/tex]
[tex]\leadsto{x=}\dfrac{1}{1}=1[/tex]
[tex]\sf\underline\green{Verification:}[/tex]
[tex]\leadsto\dfrac{5x+1}{2}=3x[/tex]
Putting the values,
[tex]\mapsto\dfrac{5×(1)+1}{2}=3×(1)[/tex]
[tex]\mapsto\dfrac{5+1}{2}=3[/tex]
[tex]\mapsto\sf\cancel\dfrac{6}{2}=3[/tex]
[tex]\mapsto\sf{3=3}[/tex]
Hence, our answer is Verified.
What is the solution to the inequality below?
−x + 5< 20
Answer:
x>−15
Step-by-step explanation:
−x+5<20
Step 1: Subtract 5 from both sides.
−x+5−5<20−5
−x<15
Step 2: Divide both sides by -1.
−x
−1
<
15
−1
x>−15
Answer:
x>−15
Answer:
x>-15 would be the answer!
Step-by-step explanation:
In the equality −x + 5< 20, you want x to be by its self. First of all, you'll subtract 5 on both sides so now you will have -x<15. Now, you must get rid of the negative so divide -1 to both sides. Oh, looks like you will have to flip the symbol since you're dividing a negative. In the end, you'll have an answer of x>-15.
Given: mZ1= 74
Find the measures of 4, 3, 2, 8, 5, 7, and 6
It would help a lot :D
scientific notation of 26,00,000 is what
Answer:2.6*10^5
Step-by-step explanation:
In a class of 40 students, every student take either Biology or Integrated Science, 30 students take Biology, 20 students take Integrated Science and 10 take both Integrated Science and Biology. Illustrate this information on a Venn diagram.
Answer
20 students will take biology, 10 take Integrated Science and 10 take both
Step-by-step explanation:
With Venn diagrams it's best you work from the inside out. With that in mind we know 10 students take both Biology and Integrated Science. In Biology there are 30 total students including the ones that also take both sciences. So we subtract the ones that take both and get 20 students taking only biology. After that there's 30 students total, subtract that from 40, the total number of students and you get 10, the amount of students who take Integrated Science
The equation 2x - 4y - 8 models the relationship between x and y. What is the rate of change of y with respect tox?
Answer:
1/2Step-by-step explanation:
Given the equation 2x-4y = 8 models the relationship between x and y
The rate of change of y with respect to x is known as the slope of the line.
The standard form of equation of a line is y = mx+c where;
m is the slope
c is the intercept
Rewrite the equation in its standard form as shown:
2x-4y = 8
-4y = -2x+8
-4y/-4 = -2x/-4 + 8/-4
y = 1/2 x -2
On comparison, the slope m is 1/2
Hence the rate of change of y with respect to x is 1/2
What is the sum of 3,470 and 988?
Answer:
are you joking mate? lol
Step-by-step explanation:
4458
Answer:
4458
Step-by-step explanation:
good luck
Simplify negative 4 over 5 ÷ 3 over negative 2.
The answer choices are:
negative 8 over 15
negative 6 over 5
6 over 5
8 over 15
Answer: 8/15
Step-by-step explanation:
(-4/5) divided by (-3/2) becomes (-4/5) x (-2/3) because when dividing fractions, change it to multiplication and flip the divider (in this case -3/2)
Multiply numerators to get 8 and denominators to get 15 resulting in 8/15
Find the slope of the line that passes through M(-6, 2) and N(-4, -2)
Answer:
y=-2x-14
Step-by-step explanation:
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can also be carried by the hot air balloon?
Answer:
8 sand bags can be carried along.
Step-by-step explanation:
First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.
Answer:
0, 5, 8
Step-by-step explanation:
100 = 10 x + 6
One hundred students go to the cafeteria to
eat lunch. Six tables held the same amount of
students while an additional 10 students
stood in line. Which equation can be used to
find the number of students sitting at each
table?
A 100= 10x + 6
B 100 + 6 x= 10
C 10 x - 100 = 10
D 6x + 10 = 100
Answer:
D
Step-by-step explanation:
6x + 10 = 100
6 times 15 = 90
Add 90 + 10 = 100
Answer:
the answer is d
6x + 10 = 100
Step-by-step explanation:
PLZ HELP, 20 points!!!
22. What is the domain of the graph?
23. What is the range of the graph below?
Plzzzz hurry, first AND correct answer gets 20 points!!!
Answer:
.
Step-by-step explanation:
Answer:
domain: all real numbers
range: y| y is greater than or equal to 5
Which of the following statements best describes the location of −(−5) on a number line?
It is 5 units to the left of 0.
It is 5 units to the right of 5.
It is 5 units to the left of 5.
It is 5 units to the right of 0.
Answer:
24 million
Step-by-step explanation:
thank me later
Addison works at a pet store. She worked less than 40 hours last week.
Create an inequality that represents the number of hours, n, Addison worked last week.
Answer:
Step-by-step explanation:
Let the number of hours she worked last week be n. If Addison worked less than 40 hours last week, this is expressed as:
n < 40 here < represents the less than sign. This means that Addison cannot work for any hour that is 40 and greater, she can only work for hours less than 40 e.g 39, 38hr etc.
The correct inequality expression is n< 40
Since i helped so many people, please HELPPPPP NOWWW thnaks
Samuel needs 313 feet of wood to build a fence. The wood comes in lengths of 13 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?
Samuel needs
______pieces of wood.
Theresa needs
_____pieces of wood.
Answer:
theresa needs 48 pieces and samuel needs 24 pieces
Step-by-step explanation:
the exact answers are 24.07692307692308
48.15384615384615
1. Suppose you flip a penny 50 times, with 25 tosses landing heads up. What percentage of the tosses would be heads? %
Answer:
50%
Step-by-step explanation:
Half of 50 is 25, so when it comes to a percent, half of 100% (50) is 50% (25)
The scale factor to dilate Triangle ABC to Triangle DEF is _.
Write a conditional statement for Marla has a piano lesson every Tuesday.
a. If it is Tuesday, Marla has a piano lesson.
b. If Marla has a piano lesson, then it is Tuesday.
c. If Marla doesn't have a piano lesson, then it is not Tuesday.
d. If it isn't Tuesday, then Maria isn't playing the piano.
Input 1 2 3 4 output -10 14 18 function or not
Answer:
function
Step-by-step explanation:
no multiplying numbers