Answer:
Vertex: (-4, -1)
Y-intercept: (0, 15)
Step-by-step explanation:
Given the quaratic function, h(x) = x² + 8x + 15:
In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].
Use the equation: [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex]In the quadratic function, h(x) = x² + 8x + 15, where:
a = 1, b = 8, and c = 15:
Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-8}{2(1)}[/tex]
x = -4
Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:
h(x) = x² + 8x + 15
h(-4) = (-4)² + 8(-4) + 15
h(-4) = 16 - 32 + 15
h(-4) = -1
Therefore, the vertex of the given function is (-4, -1).
Solve for the Y-intercept:The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:
h(x) = x² + 8x + 15
h(0) = (0)² + 8(0) + 15
h(0) = 0 + 0 + 15
h(0) = 15
Therefore, the y-intercept of the quadratic function is (0, 15).
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?
Answer:
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial.
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
When cubes are added or subtracted, they can be expressed using the following
Convert 101100 2 to decimal
Answer:
The answer is 101100
how many times can 2 go into 67
fourth grade help
Answer:
Step-by-step explanation:
To answer this, divide 67 by 2, writing the answer as a mixed number:
67
---- = 33 1/2
2
thus, 2 can go into 67 33 times, keeping in mind that there's a remainder (1/2).
Solve the inequality.
2(x+4) < 2 - x
Answer:
x < -2
Step-by-step explanation:
2(x+4)<2-x
2x+8<2-x
+x +x
3x+8<2
-8 -8
3x<-6
x<-2 Divide both sides by 3
Hope this helps!
Answer:
2x+8<2-x
8-2<-x-2x
-3x>6
x>6/3
x<2
Step-by-step explanation:
I think it's smtg like this
Evaluate the expression
Answer:
7/12 or 0.583333333333...
Step-by-step explanation:
calculator
I think the answer is 0.83, tell me is it correct ok, I try to help you
Which is the slope of the line that passes through the points (2,10) and (5,8)?
Answer:
Slope = (Y2 - Y1) / (X2 -X1)
Slope = (8 -10) / (5 -2)
Slope = -2 / 3
Solve
-16+ 20
A. -36
B.-4
C. 4
D. 36
Answer:
C: 4
Step-by-step explanation:
We can rearrange the numbers:
[tex]-16+20=+20-16=20-16=4[/tex]
Answer:
C. 4
Step-by-step explanation:
-16+20 equals 4 becase:
-16 is under zero, and if we add 20 to that, it will take 16 of that 20 to fill up the negative part, and the rest part remaining will be 4. So that four will add up to be the positive number!
Thank You! Please Mark Me Brainliest!
Raju has to grow 26 cm more to reach 3 m height. What is Raju's height in metres
Answer:
2.74 m
Step-by-step explanation:
3 m to cm is 300.
Then, 300 cm - 26 cm = 274 cm.
You asked "What is Raju's height in METRES"
So, 274 cm to m is 2.74.
Hope you understand ^^
Answer:
2.74 m
Step-by-step explanation:
Converting centimeter to meter: 26 cm = 0.26 m
3 - 0.26 = 2.74 m
The two parallel sides of a trapezium are 19.8 and 7.2 cm. If the area of the trapezium is 135 sq cm find the distance between its parallel sides
Answer:
67.72
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The area of a Trapezium is
(a+b)/2 * h where
a = top
b= bottom
h- height, distance between the two parallel sides (ie the top and bottom)
135 = (19.8+7.2)/2 *h
135=13.5h
h= 10
100 Points
Emily wants to buy turquoise stones on her trip to New Mexico to give to at least 4 of her friends. The gift shop sells small stones for $4 and large stones for $6, and Emily has no more than $30 to spend.
Write and graph a system of Linear Equations and write two possible solutions.
Answer:
Step-by-step explanation:
what is she going to buy? Small stones or big stones? if its small stones then she can buy 7 small stones. If its big stones then she can buy 5 big stones.
8/27 simplified as an exponent
Answer:
what is an exponent bro ;-;
Solve by factoring 12x^3+12x^2=0
Factor out the GCF
12x^2(x + 1) = 0
Now you can do two parts
12x^2 = 0, x = 0
x + 1 = 0, x = -1
Solution: x = 0, x = -1
brainliest pls
50 pencils cost £3. How much would 8 pencils
cost
What is the answer
Answer:
0.48£
Step-by-step explanation:
(3x8)/50=0.48£
Math is hard help me please
Answer:
the third answer
Step-by-step explanation:
because If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.
Did I do 11,7 right ?
Answer:
Yes
Step-by-step explanation:
Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.
Group of answer choices
(5, −1)
(1, −2)
(−5, −1)
(−10, 6)
The coordinates of point E on the given line CD is; Option C: (-5, -1)
We are given the points with coordinates;
C (-7 , - 4) and D(-1 , 5 )
Now, we are told that point E divides CD in the ratio 1:2.
Let coordinate of E be (x, y)
The formula to find (x, y) is;
x = (mx2 + nx1)/(m + n)
y = (my2 + ny1)/(m + n)
Where m:n is the ratio of the partition. Thus;
x = (1*-1 + 2*-7)/(1 + 2)
x = -15/3
x = -5
Similarly;
y = (1*5 + 2*-4)/(1 + 2)
y = -1
Read more at; https://brainly.com/question/17654479
may's dog weighed 16kg. the dog lost 800g after it fell ill.
Answer:
15200g
Step-by-step explanation:
Hope the Dog gets better XD
Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200
help !! giving brainliest.
Answer:
i guess the 2nd one
.
.........
is 15/6 less than 2 13/18
Answer:
no
Step-by-step explanation:
Solve for x. Round to the nearest tenth.
Answer:
24.8
Step-by-step explanation:
Geometry ….. solve for x and y
Answer:
y = 2.4
x = 30°
Step-by-step explanation:
5y = 12
[tex]\frac{5y}{5}[/tex] = [tex]\frac{12}{5}[/tex]
Cancel both the 5 in numerator and denominator
y = [tex]\frac{12}{5}[/tex]
Divide 12 by 5
y = 2.4
All internal angles of a triangle must add up to 180°. So the angles of the bottom triangle is 60° each. As you can see, there's a right triangle on the right side and a right angle is 90°. So you just have to subtract 90° and 60° to get the angle of the missing angle which is 30°
x = 30°
i don't know how to explain it but i'm sure it's correct. Hope it helps
round to the nearest hundred 104,549 help 6th
grade
Find the lines of symmetry. Select all that apply. Thank you!
Lines r & t are the lines of symmetry here.
◇ The line r cuts the figure vertically into 2 equal halves.
◇ The line t cuts the figure horizontally into 2 equal halves.
◇ The lines q & s don't cut the figure symmetrically (2 unequal parts are formed), so they are not the lines of symmetry.
See the attachments too.
______
Hope it helps ⚜
You have three towels. The first towel is ¾ meters long. It is ⅗ the length of the second towel. The length of the third towel is 5/12 of the sum of the length of the first and the length of the second. What part of the length of the third towel is the length of the second?
Answer:
Step-by-step explanation:
Part of length of the third towel is the length of the second towel
Solution:
Given that You have towels of 3 sizes
Length of the first towel = meter
The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.
Length of the first towel =
The length of the third towel makes up 5/12 of the lengths of the first 2.
To find: What part of the length of the third towel is the length of the second towel ?
Ratio of second to third towel length =
Thus 3/2 part of length of the third towel is the length of the second towel
PLZ HELP
What question should you ask yourself first when factoring polynomials?
A: Can I divide all terms by a GCF?
B: What is the exponent of the first term?
C: What is the degree of the polynomial?
D: Are there four terms?
Answer:
The correct answer is A: Can I divide all terms by a GCF?
explanation:
I took the quiz
thanks in advance big boys
Answer:
The answer is sides are congruent by the reflexive property
Step-by-step explanation:
The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.
Sorry for any gramatical or spelling mistakes!
The circle below represents one whole . …. What percent is represented by the shaded area ?
Answer:
50%
Step-by-step explanation:
because the whole circle is 100% and half of it is shaded
so.... 50%
6/4 on a number line
Answer:
Here plz leave review thx
Step-by-step explanation:
Simplify the following expression : 3a + 6b - 7(a - 3b) + 3
Answer:
The answer is -4a + 26b +3
2(5-2)^2. what is the answer please explain no link.