Answer:
y= 3x +11
Step-by-step explanation:
slope-intercept form:
y= mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 3, m=3
substitute m=3 into the equation:
y= 3x +c
To find the value of c, substitute a coordinate.
When x= -3, y=2,
2= 3(-3) +c
c -9= 2
c= 9 +2 (+9 on both sides)
c= 11 (simplify)
Thus, the equation of the line is y= 3x +11.
A bag contains 5 red, 8 black, 7 purple, and 10 yellow marbles. what is the probability of first selecting a purple marble, replaced gn it and then selecting a red marble?
Answer:
7/30 purple and 5/30 red or 1/6 red
Step-by-step explanation:
if u have a total of 30 marbles and 7 are puple the odds are 7/30 and if u put it back and take out another one the odds of getting a red are 5 out of 30 because there are still 30 and 5 out of the 30 are red but 5/30 = 1/6
The sum of the numbers 120. The third number is 4 times the second. The first number is 6 less than the second. What are the numbers?
Answer:
First number: 15
Second number: 21
Third number: 84
Step-by-step explanation:
find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2
Domain (-infinity,infinity)
Min(?
max(2,2)
Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive. Somebody please Help!
Answer:
108/9 = 12
Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12
Which of the following statements correctly illustrate the addition property of equality?
Check all of the boxes that apply.
If a = b, then a + c = b + c.
If x = y, then x + 2 = y- 2.
If w + 2 = 7, then w + 2-2 = 7- 2.
Answer: The first one and the third one
Step-by-step explanation:
The first one because a+c would equal the same as b+c due to the fact that a and b are equal. The second one would be because when solving for w+2=7 then you would subtract 2 from both sides and get 5 and the second one states after being simplified that w=5
Using substitution to alive equation with two variables
Answer:
X=27
Step-by-step explanation:
-4•4= -16
Move -16 to the other side
3x=81
x=27
A toy store marks down every toy by 15% in June. How much does a toy cost during June?
Answer:
since the toy is marked down 15%,
you do p*.85
to find the remaining cost
Step-by-step explanation:
Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Step-by-step explanation:
The translation [tex]T_{(3,-1)}[/tex] shows that we need to add three units to the x-cordinates and -1 units to y-coordinates, as follows
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
Therefore, the image of the coordinates are
[tex](-3,6) \implies (0,5)\\(9,-8) \implies (6,-9)[/tex]
What is the solution to the equation? 5=2/5a
Which graph has a slope of -3?
Answer:
fourth picture
Step-by-step explanation:
When is g(x) = 0 for the function g(x) = 5⋅23x + 4?
Answer:
4
Step-by-step explanation:
g(x)=0
Plug in 0
5*23(0) + 4
5*(0) + 4
0 + 4
= 4
Find the volume of this problem
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 11 in
Volume of cylinder = πr²h
= 3.14*3*3*11
= 310.86 in³
The coordinate of point B is -6 and the coordinate of point E is 2.
Find the length of segment BE.
Answer:
4
Step-by-step explanation:
just because i just took it
Which algebraic expression represents the phrase "four times a number"?
4 + c
C-4
4-0
4c
Answer:
4c
Step-by-step explanation:
it pretty much means 4*c
Answer:
= 4c
Step-by-step explanation:
4×(c) . I hope it helps
find the area of this figure
Answer: 49.12 ft²
Step-by-step explanation:
To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.
Area of Triangle
A=bh/2
A=6(8)/2
A=48/2
A= 24 ft²
Area of Semi Circle
A=πr²/2 (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)
A=π(4)²/2
A=(3.14)(16)/2
A=25.12 ft²
Total area
A=24+25.12=49.12 ft²
Which of the following represents 4x 3 in exponential form?
Answer:
4x3 in exponential from is: (3) (3) (3) (3)
Step-by-step explanation:
As you can see, there are 4 groups of 3. It can also be the other way around.
3x4 = (4) (4) (4) There are 3 groups of 4
hope this helped :3
Answer:
4x3 in exponential form is 3*3*3*3
Step-by-step explanation:
what is the value of x if abc is equilateral
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate any pair of sides and solve for x
AC = BC , that is
10x - 5 = 6x + 3 ( subtract 6x from both sides )
4x - 5 = 3 ( add 5 to both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → d
A correct option is an option (d).
The given sides are,
AB=7.5x
AC=10x-5
BC=6x+3
As we know in an equilateral triangle all sides are equal then,
AB=AC=BC
[tex]AB=AC\\7.5x=10x-5\\-10x+7.5x=-5\\-2.5x=-5\\x=\frac{5}{2.5} \\x=2[/tex]
So, the correct option is an option (d).
Learn More:https://brainly.com/question/24585915
WILL MARK BRAINLIEST ANSWER
You are a judge and the following case have come before you. Apply the Rule and make a decision as to whether these "vehicles" can drive through the park. Explain your reasoning.
An ambulance has a dying car accident victim in it and is racing to the hospital. The shortest route is through the park, so the ambulance drives through.
Well, my decision would be to let these kinds of vehicles like ambulances, police cars, fire-fighter trucks, etc., drive through the park. The reason I'd decide to let these vehicles drive through the park is because, well, you never know if someone is in critical danger and needs urgent assistant. If the shortest route to get to the person is through the park, it'd be reasonable and understandable because you don't want that person do get hurt do you?
so sorry if I went a bit off. Although, I hope this helped, have a great day!
(Also can i have brainliest by any chance? ' - ')
randy and sandy are brother and sister. Randy is three less than twice Sandy's age. Together, their ages equal twent-four. How old is Sandy?
Answer:
Sandy is 9 years old.
Step-by-step explanation:
R+S=24
R=2S-3
R=Randy, S=Sandy
Plug the value of R into the first equation.
2S-3+S=24
Now, simplify.
3S-3=24
Now, solve the equation for S. First add three to both sides.
3S=24+3=27
3S=27
Now divide both sides by 3.
S=9
Based on the information given, the age of Sandy will be 9 years.
The equation that can be used to solve the question will be:
R + S = 24 .... i
R = 2S - 3 ..... ii
Put equation ii into i
R + S = 24
2S - 3 + S = 24
3S = 24 + 3
3S = 27
S = 27/3
S = 9
Therefore, the age of Sandy will be 9 years.
Learn more about equations on:
https://brainly.com/question/13763238
Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
x Superscript five-thirds Baseline y
s Superscript five-thirds Baseline y Superscript one-third
x Superscript three-fifths Baseline y
x Superscript three-fifths Baseline y cubed
Answer:
The correct option is B:
B) x superscript five-thirds Baseline y superscript one-third
Step-by-step explanation:
The expression can be written as:
[tex]\sqrt[3]{x^5y}[/tex]
We know that cube root can also be written as the power of 1/3, So
[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]
Multiplying the power with both variables
[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]
Simplifying the equation to get final form
[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]
As we can see that it is similar to the option B which is
B) x superscript five-thirds Baseline y superscript one- third
the correct option is B
The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;
x Superscript five-thirds Baseline y Superscript one-thirdThe expression can be written as;
[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]
In essence, Upon simplification; we have;
x⁵ ^(1/3) × y^(-1/3)Therefore, we have;
x^(5/3) × y (-1/3)The expression therefore becomes;
[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]
Read more on indices;
https://brainly.com/question/1592472
In the diagram below BD is parallel to AE, BE bisects angle ABD, angle E is 37 degrees, angle BFE = 117, what is angle C
How many faces does the rectangular solid have?
8
2
6
4
Answer:
This rectangular solid has 6 faces.
Step-by-step explanation:
The four sides and the top and bottom equal 6 faces.
Answer:
the answer is 6
Step-by-step explanation:
just count them
WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 + i 7 + i . First, multiply both the numerator and denominator by . The product in the numerator is + i. The product in the denominator is
Answer:
-2 + i
------------
5
Step-by-step explanation:
(-3+i)/ (7+i)
Multiply by the complex conjugate
(-3+i)/ (7+i) * (7-i)/(7-i)
Numerator
(-3+i)(7-i) = -21 +7i +3i -i^2 = -21 +10 i - (-1) = -21 +10i +1 =-20+10i
Denominator
(7+i)(7-i) = 49 +7i-7i - i^2 = 49 - (-1) = 49+1=50
Numerator over denominator
-20 + 10i
-----------
50
Divide by 10
-2 + i
------------
5
Answer:
(-2 + i) / 5Step-by-step explanation:
(-3 + i)/(7 + i)= (-3 + i)(7 - i) / (7 + i)(7 - i)= (-21 + 3i + 7i - i²) / (49 - i²)= (-21 + 1 + 10i) / (49 + 1) =(- 20 + 10i) / 50 =(-2 + i) / 5First, multiply both the numerator and denominator by = 7 - i
The product in the numerator is
- 2 + iThe product in the denominator is
5Please help!!! WILL MARK BRAINLIEST ANSWER!!! A medical researcher designs a study that will investigate the effects of a
new drug on lowering patient's cholesterol level. The researcher randomly
selects participants for two groups. One group is given the new drug and the other group is given a placebo. Any person, within driving distance of the hospital, is allowed to participate and will be given a monetary compensation. Each sample consists of 5 patients. Select all weaknesses in the design.
b. more groups should have been
Answer:
C AND D
Step-by-step explanation:
Which of the following could be a solid of revolution?
(A) pyramid
(B) Rectangular prism
(C) sphere
(D) Cube
Answer:
I think it (B) a rectangle prism not to sure tho
WILL GIVE BRAINLIEST! 20 POINTS!
Answer:
The second option
Step-by-step explanation:
Since CD is a perpendicular bisector of AB, D is equidistant from both A and B
Answer:
B.
Step-by-step explanation:
A perpendicular bisector is equidistant from two points. In this case, AD and CD are the same distance.
what is 2 with an exponent of negative 2 equal to?
Answer:
So since we have 2^-2 We can do 1/2^2 = 0.25
So if you have y^-x = 1/y^x
Answer:
1/4
Step-by-step explanation:
negative exponent rule says a ⁻ⁿ = 1/ aⁿ so:
2⁻² =1/2² = 1/4
A certain pizza box holds a 14-inch diameter pizza. If the box is 2 inches high; what is its surface area?
2 in.
14 in.
2 in.
2 in.
14 in.
14 in.
528 in 2
504 in 2
196 in 2
392 in 2
Answer:
528 in²
Step-by-step explanation:
Look at the attached image to help layout all of the dimensions of the pizza box!
Let me know if you have any other questions and please rate my response and consider marking brainliest!!
Wyatt uses 3.15 cups of flour in a
recipe that makes 9 shortcakes. Cora
uses 2.4 cups of flour in a recipe that
makes 8 shortcakes. How much more
flower per shortcake is needed for
Cora’s recipe?
Answer:
Step-by-step explanation:
Cora uses 0.3 cups of flower per cake. Wyatt uses 0.35 cups of flower per cake. I do not know what else you are asking for, but Cora does use 0.05 less cups of flower than Wyatt.
To find this all I did is divided flower by cakes to get flower per cake. I hope this helps!
Answer:
1/20 cups
Step-by-step explanation:
Wyatt
3.15/9=315/900=7/20Cora:
2.4/8=24/80=3/10The difference:
7/20-3/10=7/20-6/20=1/20 cupsI have finished the table but stuck in the question after...
Answer:
7/48
Step-by-step explanation:
there are 48 in total
there are 7 white females
7/48