Answer:
B, D, and E.
Step-by-step explanation:
We are given the graph:
[tex]f(x)=(x+5)(x-3)[/tex]
We can expand the equation into standard form:
[tex]f(x)=x^2+2x-15[/tex]
Since the leading coefficient is positive, our parabola curves up. Hence, it has a relative minimum.
The x-intercepts of a function is whenever y = 0. Hence:
[tex]0=(x+5)(x-3)[/tex]
Zero Product Property:
[tex]x+5=0\text{ or } x-3=0[/tex]
Solve:
[tex]x=-5\text{ or } x=3[/tex]
So, our x-intercepts are (-5, 0) and (3, 0).
The y-intercept occurs when x = 0. Hence:
[tex]f(0)=(0+5)(0-3)=-15[/tex]
So the y-intercept is (0, -15).
The axis of symmetry is given by:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, from standard form, a = 1, b = 2, and c = -15. Hence:
[tex]\displaystyle x=-\frac{2}{2(1)}=-1[/tex]
Our axis of symmetry is -1.
Therefore, the correct statements are B, D, and E.
In the diagram below, BD is parallel to XY. What is the value of y? 85
measurement of y = 110° is the answer.
mark had 3/2 cans of paint and used 1/2 can for his room. what fraction of the paint did he use
Given:
Mark had [tex]\dfrac{3}{2}[/tex] cans of paint and used [tex]\dfrac{1}{2}[/tex] can for his room.
To find:
The fraction of the paint did he use.
Solution:
Total paint = [tex]\dfrac{3}{2}[/tex] cans
Paint used = [tex]\dfrac{1}{2}[/tex] can
The fraction of the paint did he use is:
[tex]\text{Required fraction}=\dfrac{\text{Paint used}}{\text{Total paint}}[/tex]
[tex]\text{Required fraction}=\dfrac{\dfrac{1}{2}}{\dfrac{3}{2}}[/tex]
[tex]\text{Required fraction}=\dfrac{1}{3}[/tex]
Therefore, Mark use [tex]\dfrac{1}{3}[/tex] of the paint.
Activity 1
Instructions: Fill in the table with the missing information.
Experiment
Sample Space
Sample Point
Event
Dutcome
Number of
Possible
Outcome/s
3
Rolling a die
1,2,3,4,5,6
5
2, 4, 6
Getting an
even
number
Getting two
heads
1. Flipping two
coins
HH, HT, TH, TT
2. Choosing a
day in a
week
Choosing a
day that
starts with
letters
Choosing a
month that
ends with
letter R
3. Choosing a
month in a
coin and a
dle together
5. Letter in the
word
PENCIL
6. Numbers
from 1 to 10
P.E.N.C.IL
e,
Getting an
odd number
5
Plss Help Asap
Determine the y-intercept of the graph of this equation: y - 3 = 2(x + 5)
Answer:
y intercept is 13
Step-by-step explanation:
y - 3 = 2(x + 5)
To find the y intercept, let x=0 and solve for y
y - 3 = 2(0 + 5)
y - 3 = 2(5)
y -3 =10
y-3+3 = 10+3
y = 13
I’ll give brainliest
Answer:
correct answer is d. 0.50 per pound
explanation-
equation of line is y=mx+c
where c is the point where the line intersects y axis. (0,0) in this case.
and m is the slope, which we need to find.
from the graph, when x=2, y=1. putting in above equation
1=2m+0
implies m=0.5
Answer:
$. 50 per pound
Step-by-step explanation:
We need to find the slope
We have two points (0,0) and (2,1.00)
m = (1-0)/(2-0)
=1/2
=.50
$. 50 per pound
Suppose the probability of success in a binomial trial is 0.26. What is the
probability of failure?
A. 0.65
B. 0.35
C. 0.26
D. 0.74
Find the angle measure show work too or I won’t get credit
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Answer:
96°
Step-by-step explanation:
The relevant relations are ...
the sum of arcs of a circle is 360°the measure of an inscribed angle is half the measure of the arc it intercepts__
The measure of arc HPQ is ...
arc HPQ = 360° -108° -60° = 192°
Then the measure of inscribed angle QRH is ...
∠QRH = (arc QPH)/2 = 192°/2
∠QRH = 96°
Here are five number cards.
2
5
7
8.
CO
One of the cards is removed and the mean average
of the remaining four number cards is 6
+
Which card was removed?
You must show your working.
+
Note: Please make sure your final answer says card ...
EC
brate Geb
Answer:
um I think that it could be 7 are 2
Bonjour, je suis en 4e et j’aimerais que vous m’aidiez avec cette feuille d’exercice s’il vous plaît ? (en précisent vos réponses).
Merci d’avance.
Step-by-step explanation:
1. Soit
T = le coût d'un ticket
5T + 1.8 = 35
T = (35-1.8)/5 = 6.64
On ne sait pas le coût d'un ticket de tramway! :(
2.
a.
1 h : 60 min
x : 18
x = 1*18/60 = 0.3, ou 0.3h
b. => 1h18m = 1.3h
3. 16 L : 4 h
a.
x L : 365*24
x = 365*24 * 16/4 = 35040 L
b.
1 m^3 = 1000 L : 5.2 euros
35040 L : y euros
y = 5.2*35040/1000 = 182.21 euros (au centième)
4.
a. Voir graphique ci-attachée.
b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.
c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.
Notez la ligne bleue horizontale.
d. L'équation de la capacité (C) versus la hauteur (h) est
C(h) = (8/3)h
Pour C=270, 270 = (8/3)h => h=270*(3/8) = 101.25
5. et plus
Désolé, on vous conseil de soumettre une question de 4 parties ou moins.
pic is there answer 20 points
Answer:
(x+8)^2=0
Step-by-step explanation:
x^2+16x+64=0
8x8=64
8+8=16
Therefore, 8 fits
(x+8)^2=0
If this helps please mark as brainliest
Solve for A if Ab = ut
Solve for c if Kc = 9 a
Solve for D if Bd = Ca
Answer:
Below in bold.
Step-by-step explanation:
Ab = ut
Divide both sides by b
A = ut/b.
The other 2 are solved in a similar way:
Kc = 9a
c = 9a/K
Bd = Ca
d = Ca/B.
Please help! Thank you!
Between the first and second year of existence of a community service organization, the membership of the organization grew by 15%. Between its second and third years of existence, the community service organization's membership decreased by 10%Which of the following statements best describes the overall change in membership of the community service organization over the first three years of the organization's existence?
Answer:
i don't know the answer sorry
$9.75 to $11.50= what percent change? Round to the earth tenth of a
percent
Answer:17.9 percent
Solve: x^2 – 16x + 63 < 0
Answer:
7 < x < 9
Step-by-step explanation:
x^2 – 16x + 63 < 0
this is a parabola that opens up.
The parabola will be < 0 for values between the roots.
to picture this see the graph below.
Factor
(x - 7)(x - 9) < 0
Roots
x = {7, 9}
solution
7 < x < 9
Which systems of equations Intersect at point A in this graph?
In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that
Answer:
SAS postulate
Step-by-step explanation:
Given
LL postulate
Required
What type of postulate is LL
LL means 2 legs are equal.
When 2 legs of the right triangle are equal, then it means that two sides of the right triangle
In the actual sense, this postulate is SAS postulate where 2 sides are also equal.
Hence, the LL postulate is a special case of SAS
What is the distance from 3, 5) to 4.-12)?
Answer:
Step-by-step explanation:
P1 = (3.5,5) in the form (x1,y1)
P2 = (3.5,-12) in the form (x2,y2)
dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]
dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]
dist = sqrt [ 0 -17^2]
dist = 17
PLSSS HELP, I need to figure out the answer to this with showing work included.
Answer:
I hope this helps
Step-by-step explanation:
dana has already taken 3 pages of notes on her own, and she will take 2 pages durning each hour of class. write an equation that shows the relationship between the time in class h amd the number of pages p.
write your answer as an equation with p first, followed by an equals sign
Answer:
p = 2×h + 3
Step-by-step explanation:
for every hour in class she writes 2 pages.
so, the total number of pages written is 2 times the number of hours in class.
and she had already a starting "offset", a head start if you will, of 3 pages.
so, even if she spends 0 hours in class, she has these 3 pages no matter what.
hence the "+ 3" part.
It is less than 100 and greater than 10. You use a total of 10 base ten blocks to show this number. The number of ones block is greater than the number of ten blocks. One of the digits is 7.
Answer:
70
Step-by-step explanation:
According to the results for Patient 2 shown above, which antigens were present in Patient 2’s blood? Check all (if any) that apply. A antigen B antigen Rh antigen Patient 2 has Type ✔ AB– blood. Based on these results, which type(s) of blood can this patient safely receive? Check all that apply. A B AB O Also, the patient should receive blood that is for Rh.
Answer:
Blood is further classified as being either "Rh-positive" (meaning it has Rh factor) or "Rh-negative" (without Rh factor). So, there are eight possible blood types: O negative... blood type doesn't have A or B markers, and it doesn't have Rh factor
Blood type AB can also be applied
Hope it helps...
Answer:
AB-
Step-by-step explanation:
The theater sells two types of tickets:adult tickets for 8 and children tickets for 2. Last night ,the theater sold a total of 355 tickets for a total of 1964.how many adult tickets did the theater sell last night.
Answer:
sorry need pionts
Step-by-step explanation:
find the HCF of the algebraic terms 3xy and 4x
HCF of the algebraic terms 3xy and 4x = x
Answer:
x
Step-by-step explanation:
HCF of the algebraic terms 3xy and 4x is x because x is common in both the terms.
Find the area of each figure. (Or as much as u can)
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Answer:
7. 91 m²
8. 56 in²
9. 105 in²
10. 135 m²
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
where b is the base length, and h is the height perpendicular to the base.
The formula for the area of a trapezoid is ...
A= 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them. Note that this formula is virtually identical to the triangle formula, with the triangle 'b' being replaced by (b1+b2).
__
Fill in the numbers and do the arithmetic. The result is shown in the attachment. (We have used the triangle formula for all, with b1+b2 being used for 'b' to find the area of the trapezoids.)
7. A = 1/2(14 m)(13 m) = 91 m²
8. 56 in²
9. A = 1/2(14 +16 in)(7 in) = 105 in²
10. 135 m²
Amelia spent $37.29 on 2 pairs of pants. How much would she pay for one pair? Round to the nearest penny.
Answer:
$18.65
Step-by-step explanation:
[tex]\frac{y }{37.29} :\frac{1}{2}[/tex]
y · 2 = 1 · 37.29
2y = 37.29
2y ÷ 2 = 37.29 ÷ 2
y = 18.645
18.645 round to 18.65
Which is the lowest rate? 8 cashiers for 96 people or 2 cashiers for 20 people
use the graph to answer the questions.
1) Write in standard form
2) Identify the foci and asymptotes
3) find the domain and range
Answer:
Example: Locating a Hyperbola's Vertices and Foci
The hyperbola is centered at the origin, so the vertices serve as the y-intercepts of the graph. To find the vertices, set x=0 x = 0 , and solve for y y . Therefore, the vertices are located at (0,±7) ( 0 , ± 7 ) , and the foci are located at (0,9) ( 0 , 9 ) .
Step-by-step explanation:
Use a calculator to find the correlation coefficient of the data set.
Answer:
–0.985
The correct answer is D
Identify a possible measure of the reference angle sketched in standard position
300 degrees
60 degrees
-60 degrees
-300 degrees