Answer: (2, 8)
Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.
Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.
Therefore, the solution to the given system of equations is (2,8).
The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
⇒ y = - 2x² + 4x + 8
⇒ y = - 4x + 16
Now,
Since, The system of equations are,
⇒ y = - 2x² + 4x + 8 ..(i)
⇒ y = - 4x + 16 ..(ii)
Substitute the value of y from (ii) in equation (i), we get;
⇒ - 4x + 16 = - 2x² + 4x + 8
⇒ - 2x² + 4x + 8 + 4x - 16 = 0
⇒ - 2x² + 8x - 8 = 0
⇒ - x² + 4x - 4 = 0
⇒ x² - 4x + 4 = 0
⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1
⇒ x = 4 ± √16 - 16 / 2
⇒ x = 4 / 2
⇒ x = 2
And, y = - 4x + 16
⇒ y = - 4 × 2 + 16
⇒ y = - 8 + 16
⇒ y = 8
Thus, The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
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HELP!!!! i’m really confused and it’s due today
Answer:
I think H because it is the only one going vertical
Step-by-step explanation:
The roots of the equation x² + 2x + 4 = 0 are
A) rational and equal
B) rational and unequal
C) imaginary and unequal
D) real, rational, and unequal
Answer:
Option C
Step-by-step explanation:
Given :-
A equation x² + 2x + 4 = 0 .And we need to find out the nature of the roots . The nature of the roots is determined by the Discriminant of the equation , and the Discriminant of a quadratic equation is ,
[tex]:\implies[/tex] Discriminant = b² - 4ac
[tex]:\implies[/tex] Discriminant = 2² - 4(1)(4)
[tex]:\implies[/tex] Discriminant = 4 -16
[tex]:\implies[/tex] Discriminant = (-12)
Now here the value of D is less than 0 .So the roots will be imaginary .
Hence the roots are imaginary and unequal.
Need help asap show your work
To find the volume we use an equation:
volume = length x width x height
Since this shape is a cube, you only need to know one side to find the volume since all of the sides are equal.
So all you need to find the volume is to multiply 4(1/2) which I am going to simplify to 4.5, is plug it into the equation.
volume = 4.5 x 4.5 x 4.5
Which will get you an answer of 91.125 inches cubed
[tex]91.125in^{3}[/tex]
Hope this helps :)
please help me!! 8th grade math, Pythagorean Theorem 19 pts!
Answer:
do 70 divded by two and that is 35. and then 15^2 (squared) + 35^2 (squared) and then whatever that equals but the square root around it and that is your answer.
Step-by-step explanation:
f(x)=4x^2-9x-13 young quadratic formula!
Answer:
x=13/4 or -1
Step-by-step explanation:
factorize the fraction
(4x^2+4x)(-13x-13)
4x(x+1) -13(x+1)
(4x-13)(x+1)
x=13/4 or x=1
I guess
a runner ran 2/3 of 5 km race in 21 minutes how long does it take to run the entire race
Answer:
31.5 min
Step-by-step explanation:
you divide 21 in hald to get 10.5 which is 1/3 to multiply by 3 for a whole race getting 31.5
find the perimeter and area of the shape based on the information provided
Answer:
If you were to attach the shape, I could help.
the difference between the exterior and the corresponding interior angle of the triangle is 81 °. determine those angles. (type all the steps for it)
Can someone help me please?
Answer:
2. 216cm3
3. 748.75
Step-by-step explanation:
Cube v=Bh
To get Base area 9cm x 4cm=36cm2
36cm2 x 6cm=216cm3
A part is being machined. The starting thickness
of the part is 6.18 inches. Three cuts are
taken. Each cut is three-tenths of an inch.how many were removed ?
how many units of meters make a kilometer?
The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.
Answer:
Both functions are increasing, but function g is increasing faster
Step-by-step explanation:
Correct on a plato test. Have a great day!
Answer:
B. fashoooooooo
Step-by-step explanation:
Both functions are increasing, but function f is increasing faster.
Lions and cheetahs prey on wildebeests that graze in the grasslands of the African savanna. What likely effect would increased rainfall over
several rainy seasons have on the populations of wildebeests, lions, and cheetahs?
Fjcjcjcjvjvjvnv. Vmvjcjcjvjvjfjfkfkfjfjfjjfjfjfn
Answer:
..
........................
Answer:
Step-by-step explanation:
All three populations would increase. The wildebeest population would decrease, and the lion and cheetah populations would increase.
20 is what percent
of 57?
Answer:
20 is 35.0877193% of 57
Step-by-step explanation:
Answer:
35.09
Step-by-step explanation: Hope this helps!
What is 1/2 of 8 what is 1/3 of 12
Answer:
Half of 8 is 4 and one third of 12 is 4
Step-by-step explanation:
I hope I answered your question
find the slope and y intercept form equation from the table
Answer:
y=x+5 or y=1x+5
Step-by-step explanation:
i hope this helps :)
Justin found that his text-messages contain 5 emoji for every 15 regular characters. How many emoji will Justin use if his text message contains 100 total characters ?
Answer:
Justin will use 300 emojis.
Step-by-step explanation:
15/5=3
So, 3 emoji for one regular character.
3*100= 300.
Answer:
33 emojis
Step-by-step explanation:
5 emojis = 15 characters
1 emoji = 15 ÷ 5 = 3 characters
100 ÷ 3 = 33.3
33.3 estimated to nearest whole number = 33
Two similar solids have a scale factor of 3:4. What is the ratio of their areas?
27:64
9:16
6:8
3:4
9:16
area =scale factor squared
The price of a train season ticket increased by 4%.
The price of the ticket increased by £ 152.20
Work out the price of the train ticket before the increase.
The original price of the train ticket will be £3805.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The price of a train season ticket increased by 4%.The price of the ticket increased by £152.20The original price will be calculated as:-
4 % = 152.20
1 % = 152.20 / 4
1 % = 38.05
So 100 percent will be calculated by multiplying by 100 on both sides.
100 % = 38.05 x 100
100% = 3805
Therefore the original price of the train ticket will be £3805.
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Hep yep help helphelp
Answer:
pretty sure it's A
Step-by-step explanation:
cuz a common factor of 9 and 10 is 90 do the calculations and it should be simple.
(-6,4) (4,-6) simplified into radical form
Answer:
radical of 6 and radical of 2, radical of 2
Step-by-step explanation:
Which of the following is a degenerate circle?
O A. x++y2 = -1
O B. x+y=2
O c. x² + y2 = 1
O D. (x – 4)+ (x - 2)2 = 0
Ashley plans to run a total of 24 miles this week. If Ashley has already run 25% of the total distance, how many more miles does she plan to run this week?
A. 6 miles
B. 20 miles
C. 4 miles
D. 18 miles
Answer:
D.18 millas
Step-by-step explanation:
dividimos el 24 en cuatro partes que terminaria en 6 restamos 6-24 = 18 millas que seria el 75%
A flower shop sells two types of Iris flowers: versicolor and virginica. Often, people who buy the flowers want to know about the
petal length. The summary statistics are shown in the table.
Flower Petal Length (in mm)
Versicolor Virginica
Min
45
30
Q1
51
40
44
Median
Q3
55.5
59
47
Max
69
56
If customers want to buy the flower that has the greatest variety of petal length, which Iris should they buy?
O A. versicolor, because the minimum is greater
OB. versicolor, because the maximum is greater
OC versicolor, because the difference between the minimum and Q1 is greater
O D. virginica, because the range is greater
O E virginica, because the difference between Q3 and the maximum is greater
Hi
Answer:Hey I go to ohva the answer is c
Step-by-step explanation:I took the test
The option (C) versi-colour, because the difference between the minimum and Q1 is greater, is the correct choice.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have:
A flower shop sells two types of Iris flowers: first flower and second flower.
The data is shown in the picture.
As we know, the median is the mid-value.
The min value for the first flower = 45
The min value for the second flower = 30
Q1 value for first flower = 51
Q1 value for second flower = 40
Difference between min and Q1 for first flower = 6
Difference between min and Q1 for second flower = 10
6 < 10
Thus, the option (C) versi-color, because the difference between the minimum and Q1 is greater, is the correct choice.
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Solve the inequality. Graph the solution. −8≤2/5(k−2) The solution is .
Answer:
Step-by-step explanation:
Multiply both sides by 5(k - 2)
-8*5(k - 2) ≤2 Combine -8 and 5
-40 (k - 2) ≤2 Remove the brackets
-40k + 80 ≤2 Subtract 80 from both sides
-40k ≤ -78 Here's the trick part. Pay attention. Divide by - 40
k ≥ - 78 /- 40
k ≥ 1.95
Did you see what happened? The ≤ operation turned into ≥ That always happens when dividing by a minus or multiplying by a minus or if you change the side where literal coefficient is.
The measure of ZPQS is 180°. The measure of ZRQS is 30°.
R
30°
P
S
What is the measure of ZPQR?
A. 60°
B. 120°
C, 150°
D. 210°
1. Solve for xº. 52°
can someone help me please
Answer:
x=38°
Step-by-step explanation:
x° and 52 make up a right angle, which is 90°, so for an equation you can do
x+52=90
subtract 52 on both sides and you get
x=38
Please answer this for 15 points!!! Stuck on this forever
The model shows a rectangular prism made up of cubes with an edge length of 1/2meter.
Part A
Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct?
Fill in the blanks to explain your answer.
The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct.
Answer:
no
Step-by-step explanation:
no
PLEASE HELP ILL GIVE MORE IF ITS RIGHTTTTT
A rectangular prism has a length of 2 feet a height of 18 feet and a width of 20 feet What is its volume, in cubic feet
Answer:
720 ft³
Step-by-step explanation:
volume is length × width× height
2×20×18 = 720