[tex]y = - x {}^{2} + 6x - 15[/tex]
[tex]y {}^{ \gamma } = - 2x + 6[/tex]
[tex]y {}^{ \gamma } = 0[/tex]
[tex] - 2x + 6 = 0[/tex]
[tex] - 2x = - 6[/tex]
[tex]2x = 6[/tex]
[tex]x = 3[/tex]
Substitute x=3 in y=-x²+6x-15[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]
[tex]y = - 9 + 18 - 15[/tex]
[tex]y = - 9 + 3[/tex]
[tex]y = - 6[/tex]
Vertex: (3,-6)
[tex]==============================[/tex]
In order to find the vertex of a parabola, we use the following formula:
[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]
Please remember that a parabola looks like this:
[tex]\tt{y=ax^2+bx+c}[/tex]
Now you know what a and b stand for.
In this case, a = -1, and b is 6:
[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]
Simplify:
[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]
[tex]\mathfrak{3}\\=======================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is Power :)Answered by[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]
(Score for Question 1:
of 5 points)
1. The diagram shown is two intersecting lines. The measure of 5 is 47°
(a) What is the measure of 7? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of 6 can be represented by (2x-5). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:
Answer:
a ground fault circuit interrupted
Answer:
By using what we know about intersecting lines, we will see that: a) ∡7 = 47° b) 47° + (2x - 5)° = 180° c) x = 69 How to get the measures of the angles for two intersecting lines? When two lines intersect, 4 angles are formed. There are two properties that these angles have. If the angles are adjacent, then their measures add up to 180° If the angles are not adjacent, these angles have the same measure. a) We know that ∡5 = 47° And 7 is not adjacent to 5, then 7 has the same measure: ∡7 = 47° b) 6 and 5 are adjacent, then we must have that: ∡5 + ∡6 = 180° 47° + (2x - 5)° = 180° That is the equation we need to solve to get the value of x. c) To solve the linear equation we need to isolate x, let's do that: 47° + (2x - 5)° = 180° (2x - 5)° = 180° - 47° = 133° 2x - 5 = 133 2x = 133 + 5 = 138 x = 138/2 = 69. If you want to learn more about linear equations, you can read: brainly.com/question/1884491
There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
Give your answer in its simplest form.
Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many smarties as marshmallows. What proportion of the bag of sweets are cola bottles?
Give your answer in its simplest form
(1)
If there are three times as many males as females, the ratio of males to females would be 3:1.
To make this more clearer. Suppose you have 100 students. for each 4 students, 3 of them are male and 1 is a female.
We can then say there are 75 males and 25 females.
Expressing this as a ratio(fraction) is easy 3 out of 4 are males and 1 out of 4 are females. So the ratio of males would be;
[tex]r(m) = \frac{3}{4} [/tex]
(2)
Let x be the number of cola bottles
Let y be the number of smarties
Let z be the number of marshmallows
x=3y (since there are 3 times more x than y)
y=2z (since there are 2 times more y than z)
we know that marshmallows are twice as less as smarties. so for 1 marshmallow you'd have 2 smarties. But we also know that cola bottles should be 2×3=6 since we have 3 times more cola bottles than smarties.
Adding up our total sweets we get;
1+2+6=9
But how many of those are cola bottles? 6!
So the ratio of cola bottles can be expressed as,
[tex]r(c) = \frac{6}{9} = \frac{2}{3} [/tex]
You can simplify the numerator and denominator by 3 to get 2 over 3.
Solve for x. Leave your answer in simplest radical form. X 4 3
Apply Pythagorean theorem
P²=H²-B²P²=4²-2²P²=16-4P²=12Now
Again apply Pythagorean theorem
x²=12-3²x²=12-9x²=3x=√3Answer:
the final answer for this problem is √3
What is the result when you combine only the constants in the following expression?
3a-6b+3-7a+ 10
Help picture below problem 14
Answer:
c is the answer
DO MARK BRAINLIEST
Is (8, 7) a solution of y > 4x − 6?
No, (8, 7) is not a solution of y > 4x − 6.
Yes, (8, 7) is a solution of y > 4x − 6.
Answer:
no
Step-by-step
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
4
b
=
−
6
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
4
y-intercept:
(
0
,
−
6
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Find the x-intercept.
Tap for fewer steps...
To find the x-intercept(s), substitute in
0
for
y
and solve for
x
.
0
=
4
x
−
6
Solve the equation.
Tap for fewer steps...
Rewrite the equation as
4
x
−
6
=
0
.
4
x
−
6
=
0
Add
6
to both sides of the equation.
4
x
=
6
Divide each term by
4
and simplify.
Tap for fewer steps...
Divide each term in
4
x
=
6
by
4
.
4
x
4
=
6
4
Cancel the common factor of
4
.
Tap for fewer steps...
Cancel the common factor.
4
x
4
=
6
4
Divide
x
by
1
.
x
=
6
4
Cancel the common factor of
6
and
4
.
Tap for fewer steps...
Factor
2
out of
6
.
x
=
2
(
3
)
4
Cancel the common factors.
Tap for fewer steps...
Factor
2
out of
4
.
x
=
2
⋅
3
2
⋅
2
Cancel the common factor.
x
=
2
⋅
3
2
⋅
2
Rewrite the expression.
x
=
3
2
x-intercept(s) in point form.
x-intercept(s):
(
3
2
,
0
)
Find the y-intercept.
Tap for fewer steps...
To find the y-intercept(s), substitute in
0
for
x
and solve for
y
.
y
=
4
(
0
)
−
6
Solve the equation.
Tap for fewer steps...
Remove parentheses.
y
=
4
(
0
)
−
6
Simplify
4
(
0
)
−
6
.
Tap for fewer steps...
Multiply
4
by
0
.
y
=
0
−
6
Subtract
6
from
0
.
y
=
−
6
y-intercept(s) in point form.
y-intercept(s):
(
0
,
−
6
)
Create a table of the
x
and
y
values.
x
y
0
−
6
3
2
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
4
y-intercept:
(
0
,
−
6
)
x
y
0
−
6
3
2
0
please Show the algebraic work steps thank you
Answer:
-0.125
Step-by-step explanation:
Shown in the image above
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the value of 7p7 ?
A: 1
B: 14
C: 49
D: 5040
Answer: 5040
Step-by-step explanation:
7•6•5•4•3•2•1=5040
2. What inference can you make by comparing the measures
of variability?
I need the answer
Answer:
16.02
Step-by-step explanation:
2. What inference can you make by comparing the measures
of variability?
I need the answer
16.02
A 10-inch tire has a diameter of 10 inches. What is the circumference of these tires?
Answer:
31.4
Step-by-step explanation:
diameter (d) = 10
circumference = (3.14)d
= (3.14)10 = 31.4
circumference = 31.4
Help picture below problem 11
Answer:
128° is the correct answer...
Step-by-step explanation:
mark me brainliest
SOLVE please I need it fast it’s for 20 points so please
Step-by-step explanation:
I hope its helped ?? huhuhu sorry if im wrong:)
what is 3.1 converted into a simplified fraction?
Answer:
31/10
Step-by-step explanation:
3.99 million - 47,000,000
Answer: -43010000.
Step-by-step explanation: 3.99 million is 3,990,000. From there, you subtract 47,000,000 from 3,990,000. The answer is -43010000.
Have a great day! :)
n/52 = 180/120 = n
18/n = 21/28 =n
n/4 = 24/6 =n
10/16 = n/56=n
solve each propotion
Answer:
1. n/52 = 180/120
180/120 = 1.5
n/52 = 1.5
Multiply 52 on both sides to simplify:
n=78
2. 18/n = 21/28
21/28 = 0.75
18/n = 0.75
Multiply n on both sides to remove
fraction: 18 = 0.75n and divide both sides
by 0.75 to simplify again.
n=24
3. n/4 = 24/6
24/6 = 4
n/4 = 4
Multiply 4 by both sides to simplify:
n=16
4. n/56 = 10/16
10/16 = 0.625
n/56 = 0.625
Multiply 56 on both sides to simplify:
n=35
Step-by-step explanation:
show how you know, thank you :)
~giving brainliest!~
Answer:
V≈180.96
Step-by-step explanation:
Question Help
8.6.PS-13
A circular plate has circumference 28.3 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
Step-by-step explanation:
Area = 63.9 inches²
If you should feed 1½ lbs of hay per 100 lbs of your horse’s body weight, how much should you feed a 1100 lb horse?
A. 23lbs
B. 16.5lbs
C. 13.6lbs
D. 7.5lbs
I think it's 16.5lbs I'm sorry if I'm wrong I don't know for sure
Find the value of each variable in the parallelogram.
Answer:
n=12
m=5
Step-by-step explanation:
n= 12 since they are parallel and equal
m+1=6 since they are parallel and equal
Opposite sides are equal in a paralleogram
m+1=6m=6-1m=5And
n=12Done!
How to solve 4 divided by 5
Answer: HELLO THERE! Here's what I found from study dot com "4 divided by 5 is equal to 0.8. This decimal can also be written as a fraction. 0.8 = eight tenths or 8/10 (4/5 in its reduced form)."
Step-by-step explanation:
Hope this helps, have a good day!
Help picture below problem 16
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]
Thus the missing side length is 13.2 cm
Hope that helps!
how does the distributive property work
Explanation:
The distributive property tells you that multiplication distributes over addition. In equation form, it looks like ...
a(b +c) = ab +ac
__
Groups and Multiples of GroupsThe parentheses are a grouping symbol. In the above equation, they indicate that the sum (b+c) is to be treated as a group. When it is multiplied by 'a', everything in the group is multiplied by 'a'.
In the real world, there are many ways things are grouped. Baseball cards are packaged together with bubble gum; Cracker Jacks® are packaged together with a prize; left gloves are packaged together with right gloves; a bicycle is a package that has a frame, 2 wheels, a seat, handlebars. If you purchase a number of any of these packages, each of the items in the package is part of your purchase that number of times.
For example, 3 bicycles will have 3 frames, 3×2 = 6 wheels, 3 seats, 3 sets of handlebars. In algebraic form, this might look like ...
3(f +2w + s + h) = 3f +6w +3s +3h
__
Eliminating ParenthesesUsing the distributive property to eliminate parentheses is like regrouping the contents of the packages so like items are grouped together. In our above example, the 3 frames were grouped together when we considered that part of the group of 3 bicycles. The multiplier multiplies every member of the group.
__
Adding ParenthesesThe reverse of the distributive property tells us we can regroup items into sets. It tells us we can take 3 frames, 6 wheels, 3 seats, and 3 handlebars and group them together in a way that makes 3 bicycles, each having a frame, 2 wheels, a seat, and handlebars.
3f +6w +3s +3h = 3(f +2w + s + h)
Often, we're asked to choose the multiplier to be the greatest common factor (GCF) of the numbers of things in the group. That makes each group as small as possible. The multiplier only needs to be a common factor, not necessarily the greatest common factor.
What is the rate of change for the equation x+0.5y=5
Answer:
Step-by-step explanation:
The rate of change can be found by using the difference quotient formula and in this case it would be -0.5
┍━━━━━»•» «•«━━━━━━»•» «•«━┑
[tex]f (x)= x^{2},(2, 3) -2[/tex]
The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2
┍━━━━━»•» «•«━━━━━━»•» «•«━┑
HOPE THIS HELPS
Two students determined the value of this expression.
-2.5(1.4+3.1) + 6.9(-4.3)
These are the steps each student used.
Student P
Step 1: -3.5 + 7.75 + 6.9(-4.3)
Step 2: -3.5 + 7.75 - 29.67
Step 3: 7.75 - 3.5 - 29.6
Step 4: -25.42
Student Q
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q.
Let's solve
[tex]\\ \rm\rightarrowtail -2.5(1.4+3.1)+6.9(-4.3)[/tex]
[tex]\\ \rm\rightarrowtail -3.5-7.75-29.67[/tex]
[tex]\\ \rm\rightarrowtail -11.25-29.67[/tex]
[tex]\\ \rm\rightarrowtail -40.92[/tex]
Both did error in signs
Answer:
Given expression:
-2.5(1.4+3.1) + 6.9(-4.3)
Student P
Step 1: -3.5 + 7.75 + 6.9(-4.3)
Step 2: -3.5 + 7.75 - 29.67
Step 3: 7.75 - 3.5 - 29.67
Step 4: -25.42
Student P made an error in step 1. When expanding the first part of the expression, they forgot the negative sign when multiplying -2.5 by 3.1.
So Step 1 should be: -3.5 - 7.75 + 6.9(-4.3).
This error then impacted all following steps and gave an incorrect final solution.
Student Q
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 - 7.75 - 29.67)
Step 4: -(-33.92)
Step 5: 33.92
Student Q made an error in step 3. When placing the numbers in parentheses and placing a negative sign outside the parentheses, they should have changed the two negative signs inside the parentheses to positives.
So Step 3 should be: -(3.5 + 7.75 + 29.67).
This error then impacted all following steps and gave an incorrect final solution.
Correct steps and solution
Step 1: -3.5 - 7.75 + 6.9(-4.3)
Step 2: -3.5 - 7.75 - 29.67
Step 3: -(3.5 + 7.75 + 29.67)
Step 4: -(40.92)
Step 5: -40.92
what is the total number of unique triangles that can be made with the side lengths of 4cm, 5cm, and 10cm can be drawn? PLS HELP I WILL MARK BRAINLIEST
Answer:
One
Step-by-step explanation:
First, we need to check a triangle with these sides is possible. Since 4 plus 5 is 9, and 9 is less than 10, we can make a triangle with these sides.
To answer the question, we can only make one unique triangle. Why? They give us three lengths and a triangle has three sides.
However, if they are counting a triangle in different positions the answer will be greater. Since it would just be the same triangle, I am going with the answer of only one.
Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
y ≥ 0
y < x
x + y < 6
Answer:
Step-by-step explanation:
can you write 2 expressions that will simplify to 6x-4y
Hello, the answer to your question is "Sure!"
These are the expressions:
12x-6x-9y+5y
Combine Like Terms:
6x-4y
Bingo! Now, one more:
Hmmm, let me think...
-18x+24x+16y-20y
Combine Like Terms:
6x-4y
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
What is the slope-intercept equation for this line?
y = [?]x+ [ ]
Answer:
y = -2x - 2
Step-by-step explanation:
Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?
A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles
Answer:
B. 21 miles
Step-by-step explanation:
The shortest overall route will be the sum of the shortest routes between way points.
The shortest route from the High School to the Airport is the direct route, 15 cm on the map. The shortest route from the Airport to Jill's house is via the High School and City Hall, a total of 15+12+21 = 48 cm on the map.
The shortest distance Jill can travel from work to home via the airport is ...
(15 cm +48 cm)/(3 cm/mi) = 21 miles
Answer:
person above is correct it is 21
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.
Based on the results above, predict the number of times a 3 would be rolled if Stacy performs the experiment a total of 480 times
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5