Answers
Answer:
Given equation: y = x² + 2x - 3
If you wish to find the values of y when x = -2 and x = -5:
When x = -2:
⇒ y = (-2)² + 2(-2) - 3
⇒ y = 4 - 4 - 3
⇒ y = -3
When x = -5:
⇒ y = (-5)² + 2(-5) - 3
⇒ y = 25 - 10 - 3
⇒ y = 12
If you wish to find the value of y when x = -2-5:
When x = -2-5 ⇒ x = -7
⇒ y = (-7)² + 2(-7) - 3
⇒ y = 49 - 14 - 3
⇒ y = 32
Answer:
y = 32
Step-by-step explanation:
Given :-
y = x² + 2x - 3
x = -2-5 = -7
To Find :-
y
Inputting the value of x :
y = (-7)² + 2(-7) - 3
y = 49 - 17
Solution :-
y = 32
Related Questions
Enter an expression in the box to write a quadratic function given the vertex (7,-4) and the point (5, 8).
Answers
Answer:
f(x) = 3(x - 7)² - 4Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (7, -4) ⇒ h = 7, k = -4
so:
f(x) = a(x - 7)² + (-4)
f(x) = a(x - 7)² - 4
The parabola goes through the point (5, 8) ⇒ x=5, f(x)=8
8 = a(5 - 7)² - 4
8 = a(-2)² - 4
+4 +4
12 = 4a
÷4 ÷4
a = 3
It means the equation of the parabola in vertex form:
f(x) = 3(x - 7)² - 4
Is PQS congruent to RQS by HL? If so, name the legs that allow the use of HL.
Answers
Answer:
Yes.
RS ≅ PS
QS ≅ QS
Step-by-step explanation:
The Hypotenuse-Leg Congruence Theorem states that when the hypotenuse and one leg of a Right-angled triangle are congruent to that of another Right-angled triangle, the two Right-angled triangles are therefore congruent.
In the diagram given, the hypotenuse (RS) and a leg (QS), of ∆RQS is congruent to the hypotenuse (PS) and a leg (QS) of ∆PQS. Therefore, ∆PQS is congruent to ∆RQS by HL Congruence Theorem.
Yes, PQS congruent to RQS by HL is true statement according to the diagram.
Hence :
RS ≅ PS
QS ≅ QS
Step-by-step explanation:
Given information:
The hypotenuse RS and PS
And leg QS.
Hypotenuse-Leg (HL) theorem:
The H-L theorem states that If, the hypotenuse and one leg of a Right-angle triangle are congruent to that of another right angle triangle then the given two right angled triangle will be congruent.
As, we can see in the given diagram the hypotenuse (RS) and the leg (QS) of triangle ΔRQS is congruent to hypotenuse (PS) and leg (QS) of triangle ΔPQS.
Hence , we can say that the ΔPQS is congruent to ΔRQS by H-L Congruent theorem.
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Lake Okeechobee's water level was at sea level in April. In May, the lake's level rose 4 inches and in June it rose 2 more inches. As a result of no rain, the lake's level fell 5 inches in July and 3 more inches in August. Select all the expressions that describe this situation. 4 – 5 4 + 2 – 5 – 3 4 + 2 – (5 – 3) 4 + 2 – (5 + 3) 4 + 2 – (– 5) – (– 3) 4 + 2 + (– 5) + (– 3)
Answers
Step-by-step explanation:
If the lake's level rose 4 inches and in June it rose 2 more inches, the total amount of distance that he rose is (4+2).
Also if the lake's level fell 5 inches in July and 3 more inches in August as a result of no rain, then the total amount of fall will be (5+3).
Change in height of the lake = total rise in distance - Total fall in distance
Change in height of the lake = (4+2) - (5+3) = (5+3) - (4+2) {commutative law}
open the parenthesis
(4+2) - (5+3)= 4+2-5-3 (note that minus times plus will give minus)
Hence the expressions that best describe this situation are;
1. (4+2) - (5+3)
2. (5+3)-(4+2)
3. (4+2) - 5 -3
What is the y- intercept of 2x-5y=35
****please hurry****
Answers
Answer: the y-intercept is -7
Step-by-step explanation: Rewrite the equation in slopr intercept form and simplify:
2x-5y=35 Subtract 2x from both sides
-5y = -2x + 35 Divide both sides by -5 to isolate y
y = 2x/5 -7
5
35−2x
Hope this helped.
Somebody help me I’m literally failing.
Answers
Answer:
m∠6 = 115°
Step-by-step explanation:
A rocket is launched from atop a 56-foot cliff with an initial velocity of 135ft/s.
Substitute the values into the vertical motion formula h=-16^+vt+c. Let h=0. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
Answers
Answer:
16.56.135
Step-by-step explanation:
The table shows prices that three restaurant chefs paid for the same kind of salmon at the Florida Fish Factory
Price, p
Weight, w
3 Ib.
$ 27.00
5 lb.
$ 45.00
8 lb.
$ 72.00
The equation p= kw, shows the relationship between the price of salmon. p. and the weight of the salmon
What is the value of the constant of proportionality in this situation?
per pound
Answers
Answer:
its a
Step-by-step explanation:boo
Answer: it’s $9 per pound
Step-by-step explanation:
Paco grew 12 plants with 4 seeds packets. How many seeds packets does Paco need to have a total of 18 plants in his backyard? Solve using unit rates.
Answers
Answer: 72
Step-by-step explanation: i multiplied 18 and 4 and that gave me 72
hopefully im not wrong let me know if i am
Answer:
5 and half packet of seeds or 5.5 which is 6 packets
Step-by-step explanation:
12 / 4 = 3
he can plant 3 plants with 1 seed packet
which means he needs 5 packets and half
the answer is 6
Who wants to smash some COD 1 on a ps3 in the morning
Answers
Answer:
Step-by-step explanation:
Meeee
Tickets at an amusement park are $25 for children and $45 for adults, the Jones family has 4200 cash
and they have two children, what is the maximum amount of adult tickets they can purchase?
Answers
Step-by-step explanation:
$4200 - $50
= $4150
4150 divided by 45 = 92.222.......
92.222 is approximately 93
So you can purchase 92/93 tickets in total
Since tickets are physical things, I dont think you can approximate it but that's my answer
The maximum amount of adult tickets they can purchase are 92.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are tickets at an amusement park that are $25 for children and $45 for adults. The Jones family has 4200 cash and they have two children.
Assume that they could purchase [n] number of adult tickets.
Cash remaining for adult tickets = 4200 - 2(25)
The total number of adult tickets that can be buyed are calculated as follows -
45n = 4200 - 2(25)
45n = 4200 - 50
45n = 4150
n = 4150/45
n = 92 (exact value)
Therefore, the maximum amount of adult tickets they can purchase are 92.
To solve more questions on Equation Modelling, visit the link below -
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What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please
Answers
Answer:
Step-by-step explanation:
1+2/3m+2=2+1/6
We move all terms to the left:
1+2/3m+2-(2+1/6)=0
Domain of the equation: 3m!=0
m!=0/3
m!=0
m∈R
We add all the numbers together, and all the variables
2/3m+1+2-(1/6+2)=0
We add all the numbers together, and all the variables
2/3m+3-(1/6+2)=0
We get rid of parentheses
2/3m+3-2-1/6=0
We calculate fractions
There is no solution for this equation
Answer: m = 1/10
Step-by-step explanation:
1 2/3m + 2 = 2 1/6
Firstly, subtract 2 from both sides to get m alone:
1 2/3m = 1/6
Now, to get m alone, divide both sides by 1 2/3:
m = 1/10
Hope this helps!
A car rental agency charges a base fee of $50 plus an additional charge of $0.40 for every mile driven. The total charge, c, is given by the equation. c = 50 + 0.40m, where m represents the miles driven. When Mr. Sims rented a car, his total charge was $178.00. How many miles did Mr. Sims drive the car? *
Answers
Answer:
Mr. Sims drove 320 miles.
Step-by-step explanation:
c = 50 + 0.40m
178 = 50 + 0.40m
128 = 0.40m
m = 320
What is -7b-3=-3b+5? Solve for b and show your work please.
Answers
Answer:
- 2
Step-by-step explanation:
Step 1:
- 7b - 3 = - 3b + 5 Equation
Step 2:
- 3 = 4b + 5 Add 7b on both sides
Step 3:
- 8 = 4b Subtract 5 on both sides
Step 4:
b = - 8 ÷ 4 Divide
Answer:
b = - 2
Hope This Helps :)
You spend 20 minutes doing homework. You spend 2 hour watching television. Write the ratio of the amount of time spent doing homework to the amount of time spent watching television as a fraction in simplest form.
Answers
Answer:
6, 6/1, 6:1
Step-by-step explanation:
Plz mark Brainliest
CAN SOMEONE PLEASE HELP ME IF YOU CAN
Answers
Answer: 6x^2+3x
Step-by-step explanation:
Simplify: (5) - (+8)
Answers
Answer:
-3
Step-by-step explanation:
hope it help
Answer:
Hello there!^^
Step-by-step explanation:
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
Remove the parentheses And than subtract the numbers~~~~~~~~~~~~~~~~~~~~~~~~
→ 1. =5-8
→ 2. = -3
(You can also you a number line to solve this problem)
Answer: -3Hence, your answer would be -3
By your fellow brainly user: xCherryxUwU
#Thanks!
✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰✰
You measure a tree's shadow and find that it is x = 13 meters long. Then you measure the shadow of a nearby two-meter lamppost and find that it is 75 centimeters long. (See figure.) How tall is the tree? (Round your answer to one decimal place.)
Answers
Answer:34.7
Step-by-step explanation:
h/ 13 = 2/0.75
h= 2 • 13 / 0.75
34.7 m (rounded)
Tree is 34.7m tall.
What is similar triangle?In similar triangle, shape is same but size is varing. So the ratio of corresponding sides are also equal.
So according to asked question,
Let height of the tree =h
The triangle formed by the tree and its shadow is similar with the triangle formd by the the trangle formed by the lamppost and its shadow.
So, according to the propoties of the similar triangle
a₁/a₂=b₁/b₂
h/x=2m/75cm
⇒h/13=2/(3/4)
⇒h/13=2*4/3=8/3
⇒h=8*13/3=34.666≅34.7m
Therefore tree is 34.7m tall.
Learn more about similar triangle
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Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.E. Common ratio; growth multiplier) was around 1.9. In 1983, about 1800 people in the U.S. Died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2006?
Answers
Answer:
4640933300 people would have died from AIDS in 2006.
Step-by-step explanation:
Let the equation that models the growth in mortality because of AIDS be,
[tex]A_n=A_0(1+r)^n[/tex]
Where [tex]A_n[/tex] = Number of deaths after n years
[tex]A_0[/tex] = Deaths in first year
(1 + r) = Growth factor
n = number of years
Now we substitute the values in the equation,
[tex]A_0=1800[/tex]
(1 + r) = 1.9
n = Number of years = 2006 - 1983 = 23 years
[tex]A_n=1800(1.9)^{23}[/tex]
= 1800(2578296.28)
= 4640933300
Therefore, with the same death rate 4640933300 people would have died from AIDS in 2006.
add the polynomials (2x + 3) + (2x + 1)
Answers
Answer:
4(x+1)
Step-by-step explanation:
Factor 2x+3+2x+1
4x+4
=4(x+1)
Answer:
here's your answer
please mark me as brainliest
will give that brainliest answer w.e is called
Answers
The midpoint of the two points is (8 , 11.5)
The distance between (7,7) and (19,16) is 15
What is the value of 2x^2-5x+6 when x= -2
A. -24
B. 4
C. 24
Or D. 32
Answers
Answer:
C=24
Step-by-step explanations:
Each square below represents one whole
What percent is represented by the shaded area?
Answers
Step-by-step explanation:
Both squares are 50% = 100% in total.
1 square= 50%
1/2 of a square= 25%
50+25= 75% I think i'm pretty sure that's the answer.
Answer:
75%
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] divide 3 by 4 = 0.75
Finally, multiply by 100 =75
75% is the answer.
What are the coordinates of the ordered pair (1, 3) after reflecting over x-
axis, translating right 3 and down 2? *
Answers
Answer:
(-4,1)
Step-by-step explanation:
change the sign of the x value to a negative
(-1,3)
add 3 to the x value since it's horizontal
(-4.3)
subtract 2 from the y value, since it's vertical
(-4,1)
hope this helps.
I don't know, did help
Answers
choose the 8th arrow and put it on 1
Answer:
I attached an image of what you should do.
Step-by-step explanation:
Look at the photo and grab that pointer and put it on 1.
2. Do your percentages add up to 100.0%? If not, why?
(Show your work on calculating the percentages of each component)
103.8 100. 2.9
Answers
Answer:
206.7 so yes they add up
Step-by-step explanation:
They add up because 103.8+100.+2.9
So therefore after adding them up yes they add up but past 100%
Find the slope for each pair of points (1,2), (4,3)
HELP plzz
Answers
Answer:
slope is 1
Step-by-step explanation:
Hope this helps
Help ASAP Please TY
Answers
Answer: 12, 18, 24
Step-by-step explanation:
im givin away points to anyone even people who just want points just somebody pls answer dis question <3 : Use rounding to estimate the product. Is your estimate an underestimate or an overestimate?
8 × 9.82
Answers
Answer:
1.80
2.Overestimate.
Step-by-step explanation:
Answer:
Sorry I'm late
Step-by-step explanation:
PLEASE SOMEONE HELP ME!!!!! THIS IS MY 3RD TIME ASKING THIS QUESTION!!!!
PLEASE Fill In The Blanks!
substitution is the best method to use when one variable is already ____ or when one variable can be easily ____.
Answers
Answer:
It's a guess.
1 known
2 cancelled.
Hope this helps!
And I am sorry if it doesn't
Mary took out a loan to buy a $30,000 boat but had $2,000 cash to put down.Which of the following is true?
a.
Mary decreased both assets and liabilities.
b.
Mary increased both assets and liabilities.
c.
Mary decreased assets and increased liabilities.
d.
Mary increased assets and decreased liabilities.
Answers
Answer:
Mary increased both assets and liabilities.
Step-by-step explanation: