Answer:
let first equation be y=x^2-14x+23
second equation be y=-3x+5
now substitute the vale of y in equation second
y=-3x+5
x^2-14x+23=-3x+5
x^2-14x+3x=5-23
x^2-11x=-18
x^2-11x+18=0
x^2-(9+2)x+18=0
x^2-9x-2x+18=0
x(x-9)-2(x-9)=0
(x-2)(x-9)=0
either x-2=0 Or, x-9=0
x-2=0
x=0+2
x=2
x-9=0
x=0+9
x=9
therefore x=2,9
Step-by-step explanation:
-
Answer:
(2, - 1 ) and (9, - 22 )
Step-by-step explanation:
Given the 2 equations
y = x² - 14x + 23 → (1)
y = - 3x + 5 → (2)
Substitute y = x² - 14x + 23 into (2)
x² - 14x + 23 = - 3x + 5 ( subtract - 3x + 5 from both sides )
x² - 11x + 18 = 0 ← in standard form
(x - 2)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 9 = 0 ⇒ x = 9
Substitute these values into (2) for corresponding values of y
x = 2 : y = - 3(2) + 5 = - 6 + 5 = - 1 ⇒ (2, - 1 )
x = 9 : y = - 3(9) + 5 = - 27 + 5 = - 22 ⇒ (9, - 22 )
Find the rate of change between:
(1, -1)
(2,4)
Answer:
rate of change=5
Step-by-step explanation:
Hi there!
The rate of change (or the slope) is calculated from two points with the formula (y2-y1)/(x2-x1)
we are given two points: (1,-1), and (2,4)
let's label the points, to avoid confusion:
x1=1
y1=-1
x2=2
y2=4
now substitute into the formula:
*note: remember that we are subtracting the negative numbers. When it's simplified, we add the numbers.
rate of change=(4--1)/(2-1)
simplify:
rate of change=(4+1)/(2-1)
rate of change=5/1
rate of change=5
Hope this helps!
Write the word sentence as an equation. The product of a number d and 7 is 63. An equation that represents this word sentence is
Answer
Equation: 7d= 63
Find the value of y
Answer:
y = 23
Step-by-step explanation:
The angle vertically opposite 3y is congruent, then
(5y - 4) and 3y are same- side interior angles and sum to 180°, that is
5y - 4 + 3y = 180
8y - 4 = 180 ( add 4 to both sides )
8y = 184 ( divide both sides by 8 )
y = 23
Lin charges $5.50 per hour to babysit. The amount of money earned, in dollars, is a function of the number of hours that she babysits.
Which of the following inputs is impossible for this function?
A:
-1
B:
2
C:
5
D:
8
What are the following algebraic equations? You need to post those if you want the answer.
Their centers are A and F.
What is the same about the two circles? What is different?
What is the length of segment AD? How do you know?
On the first circle, what segment is a diameter? How long is it?
Answer:
ihave the same one help me with it pls
Step-by-step explanation:
The interior angle measure of a regular polygon is calculated with the following formula, where n represents the number of sides or interior angles of the regular polygon.
Determine the measure of the interior angles of a regular octagon and identify whether or not a regular octagon can be used as the only shape in a regular tessellation.
144°, no
135°, yes
144°, yes
135°, no
THE RIGHT ANSWER IS A 144°, no
Answer:
Step-by-step explanation:
The interior angle measure of a regular polygon is calculated with 180*(n-2)/n, where n represents the number of sides.
A regular octagon has 10 sides so it interior angle = 180*(10-2)/10
= 144
A tessellation is a tile pattern with the same polygon repeating. The polygon's interior angles must combine to form 360 degree. A regular octagon has interior angle of 144 degree which does not add to 360 degree. So a regular octagon cannot be used as the only shape in a regular tessellation.
The answer is 144°, no.
Answer:
Step-by-step explanation:
oct means 10
(n-2)/n * 180
= (10-2)/10 * 180
= 144°
144 + 144 = 288 < 360
144 + 144 + 144 = 432 > 360
so a regular octagon can NOT be used as the only shape in a regular tessellation.
ans is A
Marking brainliest
In your own words, what does freedom mean to you?
Two similar pyramids have base edges 3 and 5. Find the following (use a colon between the numbers):
a) the ratio between their altitudes =
b) the ratio between their base areas =
c) the ratio between their lateral edges =
d) the ratio between their volumes =
e) the ratio between their lateral areas =
''A florist measures the lengths of roses. The lengths in inches of a dozen roses are given below'' I'm really confused.
Complete data:
13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box
Answer:
12.75 ___ 2 dots
13.0 ____ 3 dots
13.25 ___ 4 dots
13.5 ___ 3 dots
Step-by-step explanation:
Given the data :
13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75
To know the Number of dots for each data value, we obtain the frequency of each data value ;
Length of Rose____ Frequency
12.75 _________:__ 2
13.0 ____________ 3
13.25 ___________ 4
13.5 ____________ 3
find the positive value of p if the expression 2x²-px+p leaves a remainder 6 when divided by x-p
Explanation:
[tex]f(x) = 2x^2 -px + p\\given \ f(x) \ \ leaves ] remainder \ when \ divided \ by \ x - p \\\\Therefore, \\\\f(p) = 6\\\\=> f(p) = 2(p)^2 -p(p) + p = 6\\\\==>2(p)^2 - p^2 + p = 6\\\\=> p^2 + p - 6 = 0\\\\=>p^2 + 3p - 2p -6 = 0\\\\p(p+3)-2(p+3) =0 \\\\(p-2)(p+3) = 0\\\\p = 2, -3[/tex]
Answer : p = 2
What is the area of a sector of a circle with a radius of 6, and an arc measure of 160 degrees?
A. 8π/3
B. 16π/3
C. 16 π
Answer:
16 pi
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = pi (6)^2
A = 36 pi
Then find the fraction of the circle the sector is
A circle is 360 degrees
160/360 = 4/9
Multiply the area by the fraction
4/9 * 36 pi
16 pi
Answer:
C: 16π
Step-by-step explanation:
Area of a sector =
[tex] = \frac{angle }{360} \times \pi \: r {}^{2} [/tex]
Question 14
What is the absolute value of -8?
A. -8
B. O
C. 8
D. 16
Help plz
Answer:
C.8
| -8 | = 8
Explanation:
To find the absolute value of something, just find the complete opposite of a number. For example 25's absolute value is -25.
Hope this helps :)
When the log (of the same base) is the outermost step on both sides of the equation, the logs ___.
1. are added
2. are divided
3. are subtracted
4. cancel out
5. are multiplied
Answer:
cancel out
Step-by-step explanation:
Find the slope of a line that passes through the points:
(−4, 7), (−6, −4)
Answer:
= 11/2
Step-by-step explanation:
When we have two points, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 -7)/(-6 - -4)
= ( -4 -7)/(-6 +4)
= -11/-2
= 11/2
Rectangular prisms have 8 corners and 6 faces. What is the ratio of corners to faces in rectangular prisms?
4:3
xkjjsdajadsLHSFsdLuhf
What is the volume of this rectangular prism?
Answer:
5/8cm^3
hope this helps
have a good day :)
Step-by-step explanation:
-5•(-4)•2 =
plz help me !!!
Answer: 40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
-5 x -4= 20 (2 negatives equal positive)
20 x 2 = 40
01. An atom that has lost or gained electrons becomes a (an) 1. An atom that has lost or gained electrons becomes a (an) O proton O electron O ion
Answer:
O ion
Step-by-step explanation:
Well, when electrons are added or subtracted from an atom, there is a change and it becomes an ion.
Answer:
an atom is a small particle they can take part time n chemical reaction
multiply -1/2 c(4c -2) Please ASAP
Answer:
-2c^2 + c
Step-by-step explanation:
Solve the equation. \dfrac13 + a = \dfrac54 3 1 +a= 4 5 start fraction, 1, divided by, 3, end fraction, plus, a, equals, start fraction, 5, divided by, 4, end fraction a=a=
Answer:
11/12
Step-by-step explanation:
Given the expression 1/3 + a = 5/4
Subtract 1/3 from both sides
1/3 + a - 1/3 = 5/4 - 1/3
a = 5/4 - 1/3
a = 15-4/12
a = 11/12
Hence the value of x is 11/12
Figure J is the result of a transformation on figure I. Which transformation would accomplish this?
Answer:
A rotation 180 clockwise about the origin
Step-by-step explanation:
if you want me to explain, I can in the comments
Elijah puts $550 in an account earning 8% simple interest annually. What is the total amount of money he will have in his account after 6 years, if no withdrawals or deposits are made?
Answer:
814?
Step-by-step explanation:
Simple interest is I = PRT, so you can multiply the 550, by 1.08 by 6 to get the total.
The principal is 550, the rate is 0.08 (using 1.08 because the prior gives interest, and using a whole 1 with it will be the total), and the time is 6 years because the interest is simple annual.
use 0.08 instead of 1.08 when solving for interest.
Ben and Jerry both have 7 numbers in their data set. Ben's average of his data set is 9. If Jerry average is 2 more than Ben, what does Jerry's data points have to sum to be
Answer:
Jerry's data points have to sum to be 77.
Step-by-step explanation:
We are given that
Ben and Jerry both have total numbers in their data set=7
Average of Ben's data set=9
Average of Jerry's data set=9+2=11
We have to find the Sum of Jerry's data points.
We know that
Average of data=Sum of numbers/Total number of data points
Using the formula
Average of Jerry' data =Sum of numbers in data/7
11=Sum of numbers in data/7
Sum of numbers=[tex]11\times 7[/tex]
Sum of numbers=77
Hence, sum of Jerry' data points=77
The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth
person's age?
OA. 32
OB. 34
ОО
C. 35
D. 36
E. 40
Answer:
B. 34
[tex]let \: sum \: of \: ages \: of\: 3 \: people \: be \: x \\ 42 = \frac{x}{3} \\ x = 126 \\ let \:age \: of \: fourth \: person \: be \: y \\ 40 = \frac{x + y}{4} \\ 160 = x + y \\ 160 = 126 + y \\ y = 34 \\ = 34 \: years[/tex]
Helpppppp pleaseeeer
Answer:
D is the answer
Step-by-step explanation:
Tickets for the basketball game were sold at 4$ for adults and 2.50$ for students. If 320 tickets were sold for a total of 1100$, how many students tickets were sold? How many adult tickets were sold?
Answer: Number of students tickets were sold = 120
Number of adults tickets were sold = 200
Step-by-step explanation:
Let x= Number of adults, y = Number of students
As per given,
x+y=320 ...(i)
4x+2.5y=1100 ...(ii)
Multiply 2.5 on both the sides of (i), we get
2.5x+2.5y=800 ...(iii)
Subtract (iii) from (ii), we get
1.5x=300
[tex]x=\frac{300}{1.5}\\x=200[/tex]
From (i) y= 320-200 = 120
Hence, Number of students tickets were sold = 120
Number of adults tickets were sold = 200
what is the median of 19, 9, 14, -11, -1, -17, -6, 19, -13
Answer:
-1
Step-by-step explanation:
Arrange the numbers from least to greatest:
-17, -13, -11, -6, -1, 9, 14, 19, 19
Whichever number is in the middle is the median:
-1
Answer:
-17,-13,-11,-6,-1,9,14,19,19 answer is -1
Step-by-step explanation:
order the number largest to smallest but if both middle add divide into 2
Compute 7-9-2+10-4?
Can someone help me? Give me an explanation IF you can and the answer. The Quickest response gets BRAINLIEST
Answer:
The second option is correct.
Step-by-step explanation:
This is because when multiplied, they all equal the same number.
3*6 = 18
6*3 = 18
9*2 = 18
18*1 = 18
1/2 divided by 2 1/2
Answer:
1/5
Step-by-step explanation:
Answer:
The answer is 0.2
Hope this helps!
Brainliest??