Answer:
The equation of the line is; y = 0.5·x + 2
Step-by-step explanation:
The points that define the line CD = C(-2, 1) and D(10, 7)
The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c
Where;
m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]
c = The y-intercept
From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;
y - 7 = 0.5·(x - 10)
From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows
y - 7 = 0.5·(x - 10) = 0.5·x - 5
y - 7 = 0.5·x - 5
y = 0.5·x - 5 + 7 = 0.5·x + 2
y = 0.5·x + 2
The equation of the straight line in general is y = 0.5·x + 2.
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Answer:
Step-by-step explanation:
so they used a total of 560 units
we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula
0.1(x-360+54)
0.1(560-360) + 54 = monthly bill
20+54 = monthly bill
74 = monthly bill
answer D looks good
Anna is following this recipe to make biscuits.
Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate
Answer:
130
Step-by-step explanation:
What is the domain of the function shown in the table
HELP
Find sin A, round to the nearest hundredth.
Answer:
.92
Step-by-step explanation:
sin A = opp side/ hypotenuse
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 +7^2 = AC ^2
9+49 = AC ^2
58 = AC^2
Taking the square root
sqrt(58) = hypotenuse
sin A = 7/sqrt(58)
sin A =.91914503
sin A = .92
An arithmetic sequence follows a specific pattern where a number is _____________ to get from one term to the next.
Answer:
Added
Step-by-step explanation:
For example, take the arithmetic sequence of 3, 5, 7, 9...
Here, the number that gets us from the first number to the second (from 3 to 5), is 2. Meaning, we need to add 2 to 3 in order to get 5. I believe that makes "addition" or "added" the answer. Please let me know if I misunderstood and I will change my answer! Thank you!
Answer:
added or subtracted
Step-by-step explanation:
Suppose that x - y = 2 and 2x – 3y = 11. Then x + y =
Answer:
x + y = -12
Step-by-step explanation:
x - y = 2
2x – 3y = 11
-2x +2y = -4
2x – 3y = 11
-y = 7
y = -7
x = -5
x + y = -12
Sort each function into the correct category.
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 0.45X-1
f(x) = 5
f(x) = 4.5x +18
Rx) = 19x2
f(x) = x² – 3x+4
f(x) = 2x - 6
Answer:
Linear functions are
f(x) = 0.45 x - 1
f(x) = 5
f(x) = 4.5 x + 18
Quadratic function is
R(x) = 19x^2
Step-by-step explanation:
The linear function is a function in which the degree of function is 1.
So,
f(x) = 0.45 x - 1
f(x) = 5
f(x) = 4.5 x + 18 are the linear functions.
The quadratic function is a function in which the degree of function is 2.
So,
R(x) = 19 x^2 is a quadratic function.
The exponential function is a function which involves the exponents.
Answer:
pic
Step-by-step explanation:
Of the 144 animals in the pet store, 56 are cats. The rest are dogs. What fraction of the pets are dogs?
Answer:
11/18
Step-by-step explanation:
56/144 = cats.
144 - 56 = 88
88/144 are dogs.
Simplified: 11/18
PLS HELP I WILL GIVE BRAINLIEST
Kimberly will be riding her bike to school this year. The distance from her house to the end of the street is 1/6 mile. The distance from the end of the street to school is 3/8 mile. About how far is Kimberly's house from school?
Answer:
Step-by-step explanation:
The total distance = 1/6 + 3/8 miles Change the denominators to 24
D = 1/6 + 3/8 = 4*1/6*4 + 3*3 / 8 * 3
D = 4/24 + 9/24
D = 13/24 of mile.
Explain and help me with these pls and tyty ( solving using the substitution method )
Answer:
I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these
ratio and proportion
One of the angle of pair of supplementary angle is 120 degree. find the ratio of pair of supplementary angles.
Answer:
2 : 1
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180°
If one of the angle = 120°
The other angle = sum of supplementary angle - one of the angle
= 180° - 120°
= 60°
The other angle = 60°
ratio of pair of supplementary aangle = 120° : 60°
= 120° / 60°
= 2/1
= 2 : 1
ratio of pair of supplementary aangle = 2 : 1
According to class 8 please solve
Answer:
i) The value of x is 3.
ii) TE = 20cm
RN = 20cm
Step-by-step explanation:
According to the properties of rectangles,
The diagonals of rectangles are equal and bisect each other at 90°.
As per this,
OR = OT
[tex]2x + 4 = 3x + 1[/tex]
[tex]4 - 1 = 3x - 2x[/tex]
[tex]3 = x[/tex]
TE = 2OT
TE = 2(3x + 1)
= 6x + 2
= 6(3) + 2
= 18 + 2
= 20
RN = 2OR
RN = 2(2x + 4)
= 4x + 8
= 4(3) + 8
= 12 + 8
= 20
15
Which is bigger?
15/20 or 74%
h (t) = -10t + 6
h ( ? ) = -44
I'm looking for the T that goes in the parenthesis
This is from Algebra 1 - Khan Academy, Unit Functions
Answer:
[tex]{ \tt{h(t) = - 10t + 6}} \\ - 44 = - 10t + 6 \\ - 10t = - 50 \\ t = 5[/tex]
Answer:
h(5)
Step-by-step explanation:
Equate - 10t + 6 and - 44 and solve for t
- 10t + 6 = - 44 ( subtract 6 from both sides )
- 10t = - 50 ( divide both sides by - 10 )
t = 5 , that is
h(5) = - 44
identify the type of function graphed to the right.
linear
exponential
other
Answer:
linear i think
Step-by-step explanation:
exponential
Step-by-step explanation:
2 fewer than the quotient of a and 5
2 fewer than the quotient of a and 5
(x/5)-2
#CarryOnLearningGiải phương trình:
Sin^4 x - cos^4 x =1/2
Step-by-step explanation:
...........MaRk As BrAiNeSt
Hello,
[tex]cos^4(x)=(cos^2(x))^2=(1-sin^2(x))^2=1+sin^4(x)-2*sin^2(x)\\\\sin^4(x)-(1+sin^4(x)-2sin^2(x))=\dfrac{1}{2} \\\\1-2sin^2(x)=\dfrac{1}{2} \\\\\\sin^2(x)=\dfrac{1}{4} \\\\sin(x)=\dfrac{1}{2} \ or\ sin(x)=-\dfrac{1}{2} \\\\\\modulo\ 2\pi: \\\\x=\dfrac{\pi}{6}\ or\ x=\dfrac{5*\pi}{6}\ or\ x=-\dfrac{\pi}{6}\ or\ x=-\dfrac{5*\pi}{6}[/tex]
A and B are two similar solids...
Answer:
cant download send ss
Step-by-step explanation:
The area (A) of a circle is a function of its radius (r) and is given by the function A=f(r)=pie r^2. What is the domain of this function
A. All positive real numbers
B. All real numbers
C. All positive real numbers including 0
D. All real numbers excluding fraction
If 8x−7y=−8 is a true equation, what would be the value of -8+8x−7y?
Answer:
-16
Step-by-step explanation:
-8 + (-8) = -16
Answer:
-16
Step-by-step explanation:
8x−7y=−8
Subtract 8 from each side
-8 +8x−7y=−8-8
-8+8x−7y=−16
Solve:
all real numbers
no solution
Please help
Answer:
In a problem where you
calculate the "solution" to a "system of equations"
one of three things will happen....
#1) you end up with x=3 , or y=7 .. or something like that
if that happens then there is ONE SOLUTION
#2) you end up with 5=5, or 7=7 , or 0=0
in this case the lines are the same and you have "all real numbers" as the solution (there are an infinite number of solutions, the lines are the same line)
#3) you end up with 1=2, 0=5, 2=7, etc. this is impossible, there are no solutions ... the lines are parallel
Step-by-step explanation:
Mr. Austin decided to make a healthy snack for the 20 students in his class. He gave each student a dish of yogurt and divided 6 cups of strawberries equally among the dishes.
How many cups of strawberries did each student get in their yogurt?
Write your answer as a proper fraction or mixed number.
Answer:
3/10 of a cup
Step-by-step explanation:
Find how many cups of strawberries each student got by dividing 6 by 20:
= 6/20
Simplify this by dividing each number by 2:
= 3/10
So, each student got 3/10 of a cup of strawberries
the question please i need help
Answer:
90g strawberry jelly
6 sponge fingers
315ml custard
135g tinned fruit
Step-by-step explanation:
----------------------------------------
Since those ingredients that are in the question say making a trifle for four people, let's divide each ingredient by four to find the ingredients for one person, and multiply by 3 to find the ingredients for 3 people.
So,
[tex]120/4=30[/tex]g strawberry jelly
[tex]8/4=2[/tex] sponge fingers
[tex]420/4=105[/tex]ml custard
[tex]180/4=45[/tex]g tinned fruit
There are the ingredients to make a trifle for one person.
-------------------->>>>
Now, let's multiply each of the ingredients for one person and multiply that by three to find the ingredients needed to make a trifle for four people.
[tex]30*3=90[/tex]g strawberry jelly
[tex]2*3=6[/tex] sponge fingers
[tex]105*3=315[/tex]ml custard
[tex]45*3=135[/tex]g tinned fruit
These are the ingredients needed to make a trifle for three people.
----------------------------------------
Hope this is helpful.
large pies cost £3.25 each
small pies cost £1.80 each
five children together buy 2 large pies and 1 small pie. they share the cost equally - how much does each child pay
Answer:
1.66 £
Step-by-step explanation:
(2 * 3.25 + 1.80) : 5 =
8.3 : 5
1.66 £
Helppp and explain pls and thankyou
Answer:
None of both
Step-by-step explanation:
It say y = lxl
so it mean if y = 3 so x = 3 or -3
what is the length of segment LM?
Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,
∆ KNL ≈ MNL , [ By AAS ]
Therefore ,
KN = MN ( by cpct )⇒ KN = MN
⇒ 14x - 3 = 25
⇒ 14x = 25 + 3
⇒ 14x = 28
⇒ x = 2
Put this x = 2 in LM :-
⇒ LM = 9x + 5
⇒ LM = 9*2 + 5
⇒ LM = 18 + 5
⇒ LM = 23
Hence the required answer is 23 .
the quadratic function f(x) = ax² + bx + c has tge minimum point (-2,-9) ans f(-1) = -7 Find (a) values of a,b and c
i'll mark u brainliest pls,help
Hello again,
"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...
You've been warned"
Answer is a=2, b=8 and c=-1
Indeed:
y=f(x)=ax²+bx+c
Since (-2,-9) is the vertex,
y=k*(x+2)²-9
Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2
f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9
f(x)=2x²+8x-1
A proof: the picture is following.
PLEASE HELP! PLEASE SHOW WORK
Use the following expression to answer this three part question:
f(x) = 2x2 + 4x − 6
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answer:
Step-by-step explanation:
The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.
solve the equation
45 = 3(x + 1)
Answer:
x = 14
Step-by-step explanation:
45 = 3(x + 1)
Distribute the 3
3(x) = 3x
3(1) = 3
We now have 45 = 3x + 3
Subtract 3 from both sides
45 - 3 = 42
3 - 3 cancels out
We now have 42 = 3x
Divide both sides by 3
42/3 = 14
3x / 3 = x
We're left with x = 14
Answer:
x = 14
Step-by-step explanation:
45 = 3(x + 1)
Distribute
45 = 3x + 3
-3 -3
----------------
42 = 3x
---- ----
3 3
14 = x
I need help ASAP please help! I have to choose between 4 graphs
Answer:
Step-by-step explanation:
This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.
