First, we have to understand the slope-intercept form.
[tex] \large \boxed{y = mx + b}[/tex]
A linear function/equation has three forms and the slope-intercept is one of the form. It is also commonly used in Function topic while the other two forms are commonly used in Analytic Geometry.
In the slope-intercept form, the m-term represents the slope while b-term represents the y-intercept of a graph.
Which equation represents a linear function that has a slope of 5 and a y-intercept of -6.
As you notice the bold, italic and underlined words in the question that I quoted or rewrote. I've just explained that the slope is m-term and y-intercept is b-term.
Therefore, substitute m = 5 and b = -6 in the equation.
[tex] \large{y = mx + b \longrightarrow \bold{y = 5x + ( - 6)}} \\ \large \boxed{ \tt{ \purple{y = 5x - 6}}}[/tex]
I hope this helps! Let me know if you have any questions regarding the linear function, don't hestitate to ask. Good luck with your assignment and have a nice day!
Work out the size of angle X
Answer:
x = 105
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines are parallel
x = 105
Answer:
105°
Step-by-step explanation:
The angles are corresponding therefore they are equal
help I will give brainliest if you do everything
Jenny rolled a pair of number cubes, each with the numbers 1 through 6.
What is the probability that Jenny rolled two 1s?
A. 1/36
B. 1/18
C. 1/12
D. 1/6
Jenny rolled 1/18
Answer:
D. 1/18
Consider the follow:ing sequence -3; 2; 7; 12. 12.1 Find an expression for the nth term
Answer:
tn=t¹+d(n-1)
Step-by-step explanation:
d=common difference
t¹=1st term
n= the nth term
Answer:
Step-by-step explanation:
Sequence, so easiest way is difference between any 2 consecutive numbers
Neg 3 to 2, difference is 5
2 to 7, difference is 5
7 to 12 , difference is 5
So sequence result for n
= starting point + (n-1)(5)
Eg 2nd, N= 2
Starting point is neg 3
Sequence = -3 + 2-1 (5) = -3 + 5 = 2
9th, n = 9
-3 + 8(5)
-3 + 40
37
What is 350-450:90+15x3
Help geometry ……………..
Answer:
Angle F
Step-by-step explanation:
=====================================================
Explanation:
We see that angle A = angle E as shown by the arc marking. The tickmark says that side AB is the same length as side EF.
In the letter sequences "AB" and "EF", erase the first letters A and E to be left with B and F. This is one way to show how angle B pairs with angle F, and that is enough to show the two angles are congruent.
Please help me if yk tha answer :))
Answer:
cosθ = sinθ/tanθ
Step-by-step explanation:
tanθ = sinθ/cosθ (Given)
cosθ(tanθ) = sinθ (Mulitplied cosθ on both sides)
cosθ = sinθ/tanθ (Divided tanθ on both sides)
PLEASE HELP PLEASE PLEASE PLEASE ANSWER ALL OF THE QUESTIONS IF YOU KNOW GEOMETRY
Why is 31
less than 3 x 10?
Answer:
Step-by-step explanation:
Because 3x10=30 and 31 is greater than 30 by 1 more.
It's not. 3 times 10 is 30.
30<31
PLZ HELP ASAP FOR AP3X
Answer:
A - y = cos(x-1)
Step-by-step explanation:
This is what it looks like when you graph y = cos(x-1). It matches the graph on your question exactly, this graph is just using trig concepts.
Please give me brainliest if my answer was right. :)
Help fast it is math and really fast need help
Given:
The table of value and y is inversely proportional to square of x.
To find:
The value of c and d.
Solution:
It is given that y is inversely proportional to square of x. So,
[tex]y\propto \dfrac{1}{x^2}[/tex]
[tex]y=k\dfrac{1}{x^2}[/tex] ...(i)
Where, k is the contant of proportionality.
From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get
[tex]4=k\dfrac{1}{3^2}[/tex]
[tex]4=\dfrac{k}{9}[/tex]
[tex]4\times 9=k[/tex]
[tex]36=k[/tex]
Putting [tex]k=36[/tex] in (i), we get
[tex]y=36\dfrac{1}{x^2}[/tex]
[tex]y=\dfrac{36}{x^2}[/tex] ...(ii)
Putting [tex]x=5,y=c[/tex] in (ii), we get
[tex]c=\dfrac{36}{(5)^2}[/tex]
[tex]c=\dfrac{36}{25}[/tex]
Putting [tex]x=d,y=2[/tex] in (ii), we get
[tex]2=\dfrac{36}{d^2}[/tex]
[tex]d^2=\dfrac{36}{2}[/tex]
[tex]d^2=18[/tex]
Taking square root on both sides, we get
[tex]d=\pm \sqrt{18}[/tex]
[tex]d=\pm 3\sqrt{2}[/tex]
Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].
Answer:
8.238
Step-by-step explanation:
it might not be right, but it was not fast either XDDD
dang, i took to long to tell u
:)
Population since 2000 has been approximately linear. In 2006 the population was 1148 and in 2014 the population was 1348. What is the rate of population growth?
Answer:
2.03% Rate of Population Growth.
Step-by-step explanation:
According to the Question,
Given, In 2006 the population was 1148 and in 2014 the population was 1348.
2006⇒2014 (8 Years)
So, [tex]1148 * (1+\frac{x}{100} )^{8} = 1348[/tex]
[tex](1+\frac{x}{100} ) = \sqrt[8]{1.1742}[/tex]
(1 + x/100) = 1.0202
x/100 = 0.020276
x = 2.03% Rate of Population Growth
Please help I’ll give brainliest
Answer:
23
Step-by-step explanation:
I DID 7*3+2 & GOT 23
Can someone help me please???
Answer:
35,691
Step-by-step explanation:
First step, look at the diagram and you see that you have a sphere and a cone.
The total surface area of a sphere is
[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]
Since you only have half of a sphere, the surface area is 9,556.5
The surface area of the cone is
[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]
You don't need the bottom of the cone however as it is connected to the half sphere.
So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800
The area of the circle is 4,778
HELP i will give brainliest
all questions ;(
Answer:
1. The theoretical probability of rolling an even number and flipping heads is 25%.
2. The experimental probability of rolling a 1 and flipping tails is 15%.
3. The experimental probability of flipping heads is 40%.
4. I think around 7%.
5. I would expect to roll 3 and land on heads 8 times.
Step-by-step explanation:
I am not sure about number 4.
Have a nice day!
Ask me if you need my work. :-)
The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?
Answer: 105
Step-by-step explanation:
Given
The ratio of men to women working for a company is 4:7
There are total of 165 employees
Suppose, there is 4x men and 7x women such that the ratio remains constant
[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]
[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]
A store offers a discount of 10% to customers who spend more than $20.00. If a customer’s bill is $80.00, how much will he actually pay?
Answer:
Step-by-step explanation:
Answer:
$72.00
Step-by-step explanation:
Amount of discounted money
= 10/100 x $80.00
= $8
Amount he will pay
= $80.00 - $8.00
= $72.00
25/20 + 10/y = ? Solve for y.
Answer:
your answer is y=-8 for sure
Solve for x and y in the system of equation
3x²+4y=17
2x²+5y=2
I'll mark brainliest
Answer:
[tex]x=\pm \sqrt{11} \\y=-4.[/tex]
Step-by-step explanation:
[tex]\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.[/tex]
Use the drop-down menus to complete the statements to match the information shown by the graph.
What is the volume of the triangular prism?
Answer:
48 in³
Step-by-step explanation:
the volume = ½×3×4 × 8 = 48 in³
Why does that formula make sense?
Answer:
Step-by-step explanation:
Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH + ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......
you end up with : AH - AH/2 + AB/2 ...
AH - AH/2 = AH/2
BH/2 = BH/2
final answer : AH/2 + BH/2
factor out the 1/2 and H ..... 1/2 H (A+B)
The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
Answer:
A. y = -(x + 5)^2 + 4
Step-by-step explanation:
After a small online search, I've found that the options are:
A. y = -(x + 5)^2 + 4
B. y = -(x - 5)^2 + 4
C. y = -(x + 5)^2 - 4
D. y = -(x - 5)^2 - 4
For a quadratic equation with a vertex at the point (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if here we have the vertex at (-5, 4)
y = a*(x - (-5))^2 + 4
y = a(x + 5)^2 + 4
Then the correct option is the first one, where a = -1, then the correct option is A.
In ΔMNO, m = 41 cm, o = 98 cm and ∠O=22°. Find all possible values of ∠M, to the nearest degree.
Answer:
9°
Step-by-step explanation:
m / sin L M = o / sin L O
41/sin L M = 98/sin 22°
=> sin L M = 41×sin 22°/98
= 41×0,3746 / 98
= 0,1567
so, L M = sin~¹ 0,1567 = 9°
Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week there are 16 cups in I
Answer:
56 cups of water
Step-by-step explanation:
Katrina drinks 0.5 gallons of water per day
We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:
1 day = 0.5 gallons
7 days = x
Cross Multiply
1 day × x = 7 days × 0.5 gallons
x = 7 days × 0.5 gallons/1 day
x = 3.5 gallons
Note that 16 cups = 1 gallon
The number of cups of water she drinks per week is
1 gallon = 16 cups
3.5 gallons = x
Cross Multiply
1 gallons × x = 3.5 gallons × 16 cups
x = 3.5 gallons × 16 cups/1 gallons
x = 56 cups
Therefore, Katrina drinks 56 cups of water in a week
If a sample of 100 polar bears is taken from a population of polar bears whose average
weight is 2000 pounds and standard deviation is 300 pounds, then a 95% confidence
Interval for the sample mean would be from
to
pounds.
Answer:
not really sure
but I'll try for you
(2x – 1) (2x + 1) (4x2 + 1)(16x4 + 1) + 1
Answer:
Escribí esto, así que espero que quede claro.
Step-by-step explanation:
Maybe 256x square 8
Copy and complete. Answer: (a) Increased by % (b) Increased by % (c) Decreased by % (d) Decreased by % (e) Increased by % (f) Decreased by %
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete; However, one can deduce from the options that the question refers to percentage change.
I will give two illustrations that shows how to calculate percentage change.
Illustration 1
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$55[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{55-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{10}{45} * 100\%[/tex]
[tex]\%Change = \frac{1000}{45} \%[/tex]
[tex]\%Change = 22.22\%[/tex]
This means there is a 22.22% increase
Illustration 2
Consider goods x with the following price change.
[tex]Old = \$45[/tex]
[tex]New = \$35[/tex]
The percentage change is:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
[tex]\%Change = \frac{35-45}{45} * 100\%[/tex]
[tex]\%Change = \frac{-10}{45} * 100\%[/tex]
[tex]\%Change = -\frac{1000}{45} \%[/tex]
[tex]\%Change = -22.22\%[/tex]
The negative sign indicates percentage decrease
So, this means there is a 22.22% decrease
what is the correct answer
Answer:
Step-by-step explanation:
B is correct answer
In circle D, EDH LEDG.
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
E
57°
F
D
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
C
H
66°
G
2.
G H
In OK, m_HKG=x+10 and
m IKT=3 2 D
Answer:
hey mate
the question is not understandable