Hi there!
[tex]\large\boxed{(-3, 8.25)}[/tex]
Solve for the vertex by completing the square:
y = -0.25x² - 1.5x + 6
Factor out a negative:
y = -(0.25x² + 1.5x) + 6
Remember that a square binomial is:
a² + 2ab + b²
We know that:
a² = 0.25, so a = 0.5
1.5 = 2ab, so:
1.5 = 2(0.5)b
b = 1.5
b² = 2.25
Thus:
y = -(0.25x² + 1.5x + 2.25) + 6 - (-2.25)
Simplify:
y = -(0.5x + 1.5)² + 8.25
Find the vertex by factoring out 0.5:
y = -0.5(x + 3)² + 8.25
Thus, the vertex is:
(-3, 8.25)
2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h
Answer:
Corresponding AnglesStep-by-step explanation:
Angles a and e are corresponding angles and they are also congruent.tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
20 points lovelys <3
Answer:
A) 2 cm
Step-by-step explanation:
By definition, regular polygons have equal sides and angles. Therefore, each side of the regular hexagon must be equal. Since one side is marked as 2 cm, the length of PQ must also be 2 cm.
Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?
HELP PLEASE <3
Answer:
14, 21
Step-by-step explanation:
LCM : least common multiplier.
x + y = 35
LCM = 42
means that there is a combination of 2 of the following divisors of 42 :
2, 3, 6, 7, 14, 21
so, which two of these numbers can create the sum of 35 ?
only 14 and 21
find the missing side. Round it to the nearest tenth.
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
tại teamart,1 ly trà sữa có giá a đồng và 1 ly kem có giá là b đồng.Hãy viết biểu thức đại số biểu thị số tiền bạn Cúc mua 3 ly trà sữa và 4 ly kem
Answer:
3 a + 4 b
Step-by-step explanation:
Biểu thức đại số biểu thị bạn Cúc mua 3 ly trà sữa và 4 ly kem là:
3 a + 4 b
Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52
Triangle OPR has length OR=5m, angle OPR = 90, find length QP
Answer:
i don't know
Step-by-step explanation:
i don't know
I’ll mark u as a brainliest!! pls help me
Answer:
Shorter leg is 7
Bigger leg is 7√3 = 12.1 (rounded to the nearest tenth)
Lauren wants to know how many students in her school plan to see the new science fiction movie opening this weekend. She surveyed every Fitch student as they left the school on Friday.
Population:_____________
Sample:__________________
Is this sample reprsentive? Explain.
______________________________
HURRY!!!!! HELP PLEASE!!!! NO SPAM!!!!!!!!!There are two identical oil tanks. The level of oil in Tank A is 6 ft and is drained at the rate of 0.5 ft/min. Tank B contains 10 ft of oil and is drained at the rate of 1 ft/min. After how many minutes will the level of oil in the two tanks be the same?
Answer:
8 munutes
Step-by-step explanation:
let :
x is the final level for both tanks (in ft) and
t is the time (in minutes)
the equation :
x = 6 - 0.5 t (eq.1)
x = 10 - 1t (eq.2)
eq. 1 = eq. 2
=>
6-0.5t = 10-1t
1t - 0.5t = 10-6
0.5t = 4
t = 4/0.5 = 8
t = 8 minutes
Answer: 8 minutes
Step-by-step explanation:
Write an equation for the level of oil in each tank.
Let t = the number of minutes.
Tank A: y = 6 − 0.5t
Tank B: y = 10 − 1t
Solve the system by using a table of values
When t = 8 minutes, the level in both tanks will be at 2 feet.
formula of (a^3+b^3)
Answer:
[tex](a+b)(a^2-ab+b^2)=(a^3+b^3)[/tex]
Step-by-step explanation:
What is the approximate length of the line segment?
(1, -1)
(6,-8)
Answer:
8.6023
Step-by-step explanation:
length = √[(x2-x1)^2+(y2-y1)^2]
=√[(1-6)^2+(-1--8)^2] =√74 =8.6023
What is the slope of the line?
y
slope = 13
slope = -3
slope =3
Answer:
slope = 3
Step-by-step explanation:
Take a look at the grid, when the x = 0, y = -2, so it means you have a function with form y = a•x - 2
Now, look at the grid lime when x = 2, at this point, y = 4. If the function doesn't had -2, y in x = 2 would be 4 + 2 = 6
Which number you multiply 2 to have 6? Number 3, so this is the slope, and the function is y = 3x -2
Answer:
3
Step-by-step explanation:
Start at the y-intercept
Slope is rise (up/down) over run (move to the right/left)
First you rise 3
And you run 1
3/1 is 3 thus 3
What are the roots of the equation x2 + 6x - 4 = 0?
A6+2V13
B.-6+2V13
C.3V13
D.-3V13
Answer:
The answer is D
Step-by-step explanation:
use the quadratic formula, plug and chug, and voila!
HELPPPPPPPP
Which of the following is a geometric sequence?
Answer:
ES LA NUME C R
Step-by-step explanation:
PLEASE HELP, I'LL MARK BRAINLIEST.. Of the 37 teachers at Francesca's high school, 9 are female. What is the ratio of the number of male teachers to the total number of teachers? Please write in decimal form
what is 40-32divited by8=5x-2
The diameter of your bicycle wheel is 25 inches. How far will you move in one turn of your
wheel?
a) 25 in
b) 78.5 in
c) 250 in
d) 246.49 in
e) 50 in
Answer:
b) 78.5
Step-by-step explanation:
distance you will move = circumference of wheel = πd = π(25) = 78.53981
[tex]\sqrt{\frac{x-4\sqrt{x}+4 }{x+4\sqrt{x} +4} }[/tex]
Answer:
\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}
\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)=1\:\\ \:\mathrm{Interval\:Notation:}&\:f\left(x\right)=1\end{bmatrix}
Step-by-step explanation:
A sequence starts 0, 5, ...
Give a rule the sequence could follow and the next 3 terms for that rule.
Give a different rule the sequence could follow and the next 3 terms for that rule.
Answer:
0, 5, 10, 15, 20
0, 5, 40, 405, 5,120
Step-by-step explanation:
One rule can be "add 5 to the previous term to get the next term."
0, 5, 10, 15, 20
Second rule:
For each term number 1, 2, 3, ..., n,
each term = 5(n - 1)^n
0, 5, 40, 405, 5,120
The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20
The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.
Sequences are numbers arranged in a specific pattern.
Given the sequence 0, 5...
This sequence can be an arithmetic sequence with nth term expressed as:
Tn = a + (n-1)da is the first term = 0
n is the number of terms
d is the common difference = 5 - 0 5
If n = 3
T3 = 0 + (3-1)*5
T3 = 2 * 5
T3 = 10
If n = 4
T4 = 0 + (4-1)*5
T4 = 3 * 5
T4 = 15
If n = 5
T5 = 0 + (5-1)*5
T5 = 4 * 5
T5 = 20
Hence the next three terms for the rule will be 10,15 and 20
Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ
If n = 3
f(3) = 5(3-1)³
f(3) = 5(2)³
f(3) = 5 * 8
f(3) = 40
If n = 4
f(4) = 5(4-1)⁴
f(4) = 5(3)⁴
f(4) = 5 * 81
f(4) = 405
If n = 5
f(5) = 5(5-1)⁵
f(5) = 5(4)⁵
f(5) = 5 * 81
f(5) = 1024 * 5
f(5) = 5120
Hence the next three terms for the rule will be 40, 405, and 5120.
Learn more here: https://brainly.com/question/16151695
what is the solution?
Answer: x = 36
Step-by-step explanation:
[tex]\frac{2}{3} x-4=20\\\\\frac{2}{3} x=20+4\\\\\frac{2x}{3} =24\\\\2x=24*3\\\\x=\frac{72}{2} =36[/tex]
please help 15 points (picture)
Answer:
the first difference are all 20.
since the first differences of this relation are constant, it is a linear relation
Answer:
Linear because the account balance increases by a constant 20.
Step-by-step explanation:
→ The first difference is 20 for all values because :
20 - 0 = 20
40 - 20 = 20
60 - 40 = 20
80 - 60 = 20
100 - 80 = 20
a shopkeeper sells a pant at 10% profit, if he would have sold it at rs.150 more than profit would have been 15% find the purchased price of the pant
Answer:
selling prices =10% 10+150+15%=180
Does anyone know the answer plz ?
Answer:
a = 20; b = 10sqrt(3)
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : sqrt(3) : 2
b = 10 * sqrt(3)
b = 10sqrt(3)
a = 2(10)
a = 20
Answer: a = 20; b = 10sqrt(3)
Answer:
a=20,[tex]b=10\sqrt{3}[/tex]
Step-by-step explanation:
SOH-CAH-TOA
Tan = O/A
Tan(60)= b/10
[tex]b=10\sqrt{3}[/tex]
Cos = A/H
cos(60) = 10/a
a=20
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
What is the range of the function on the graph, I hope you can see it
Answer:
Option 4. All real numbers greater than or equal to 2.
I hope this will help.
Question 7 of 25
The graph of F(x) can be compressed vertically and shifted to the right to
produce the graph of G(X). If F(X) = x2, which of the following could be the
equation of G(x)?
A. G(x) = {(x - 6)
O B. G(x) = {(x+6)
O c. G(x) = 2(x+6)
O D. G(X) = 2(x-6)
Help on 36 and 37 pls, the choices for 37 are 70,77,82, and 90
Answer:
36: G-30
37: Please add the rest of the questions, so I can answer 37.
Step-by-step explanation:
BC has endpoints B(5,9) and C(-4,-3). Find the coordinates of the midpoint of BC.
I need help !!
Answer:
(0.5,3)
Hope this helps..Have a good day!!
TIME REMAINING
43:02
Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
(–3, 5)
(–2, 2)
(–1, –3)
(0, –1)
Mark this an
the answer of this question is (-2,2)
