f(×)=-0,5x+2
8(×)= -5x+3
8×= -5x+3
8-5x+3
3x+3
x6
The nearest tenth as required, the point of intersection expressed as (0.2, 2.1).
To solve the system of equations, to find the points where the two functions intersect, which means the x-values where f(x) equals g(x). Let's proceed with the solution:
f(x) = -0.5x + 2
g(x) = -5x + 3
Set f(x) equal to g(x):
-0.5x + 2 = -5x + 3
Now, let's solve for x:
Add 0.5x to both sides to eliminate the term with x on the left side:
2 = -4.5x + 3
Subtract 3 from both sides:
-1 = -4.5x
Now, divide by -4.5 to isolate x:
x = -1 / -4.5
x ≈ 0.2222
Now that we have the x-value of the point of intersection, let's find the corresponding y-value by plugging x back into either f(x) or g(x). Let's use f(x):
f(x) = -0.5x + 2
f(0.2222) = -0.5(0.2222) + 2
f(0.2222) ≈ 2.1111
So, the point of intersection is approximately (0.2222, 2.1111).
To know more about intersection here
https://brainly.com/question/30792974
#SPJ2
3/5 + 1/6 - 2/3 plz help me................
Answer:
1/10
Step-by-step explanation:
Check various online stuff for the steps
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5} +\frac{1}{6} =\frac{3*6}{5*6} +\frac{1*5}{6*5} =\frac{18}{30} +\frac{5}{30} =\frac{18+5}{30} =\frac{23}{30}[/tex]
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - three fifths plus one sixth = twenty-three thirtieths.
Subtract: [tex]\frac{2}{3} =\frac{23}{30} -\frac{2}{3} =\frac{23}{30}-\frac{2*10}{3*10} =\frac{23}{30}-\frac{20}{30}=\frac{23-20}{30} =\frac{3}{30} =\frac{3*1}{3*10} =\frac{1}{10}[/tex]
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(30, 3) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 30 × 3 = 90. In the next intermediate step, , cancel by a common factor of 3 gives [tex]\frac{1}{10}[/tex]
In words - twenty-three thirtieths minus two thirds = one tenth.
Ashley has 6 books and 9 pencils. James has 12 pencils but is not able to determine the amount of books he has. The amount of books and pencils Ashley and James have are proportional.
How many books does James have? Show your work using mathematics.
Answer:
8 books
Step-by-step explanation:
First you need to find the ratio between 6 and 9
6/9 = 2/3
The ratio is 2/3
Now for James's case his denominator would be 12
x/12
To find the numerator you need to multiply the denominator by 2/3
12 * 2/3 = 8
There you go, the numerator is your answer
8 books and 12 pencils
Hope this helps :)
If each block sides are 1 cm long, what is the volume of this object?
4 cubic centimeters.
Brainliest would be great. Comment below if it helped!
Answer:
The volume for this object is 4.
Step-by-step explanation:
For each block, we need to multiply using the volume formula which is
Length x Width x Height
So, if the side lengths for all these blocks are 1. That means we would do 1x1x1 for every block. Since there are 4 blocks that means our equation for the whole object would be 1+1+1+1 or simply 1x4. And we all know the answer to our equation 1 x 4 is 4.
, Hope this helps :)
Have a great day!!
Angles that lie on the same side of the
transversal and on the same side of the parallel Ines. These engles are in
the same "corner and are congruent
What are the x- and y-intercepts of f(x)=x^2-49?
What is what is the equation 3X +10 equals 43 what does X equal
Solve for m < DEG = 32 and m < GEF = 29
Answer:
31udd65dd and the rest are all the way in which I
What is the factored form of the expression below?
6x^2 + 17x + 5
a (3x + 1)(2x + 5)
b (6x + 1)(3x + 5)
c The expression cannot be factored over the integers.
d (3x + 5)(2x + 1)
Answer:
The correct choice is option a. (3x + 1)(2x + 5)
Step-by-step explanation:
6x^2 + 17x + 5
= 6x^2 + 15x + 2x + 5
= 3x(2x + 5) + 2x + 5
= (3x + 1)(2x + 5)
Answer:
a. (3x+1)(2x+5)
Step-by-step explanation:
6x^2 + 17x + 5
6 = 3x times 2x and 5 = 1 times 5
(3x + 1) (2x + 5)
Solve the following equation using the completing the square method:
x2+8x=3
Answer:
x= plus or minus square root of 19 -4
Step-by-step explanation:
x^2+8x ___=3
take half of your b term (8) and then multiply by two and add or subtract it to both sides
x^2+8x+16=3+16
then combine like terms
x^2+8x+16=19
then factor your quadratic equation
(x+4)^2=19
now solve for x
take the square root of (x+4)^2 to get rid of the ^2
you then also have to square the 19 because what you do to one side you have to do to the other
(x+4)= square root of 19
subtract 4 from both sides
x= plus or minus square root of 19 -4
Answer:
Step-by-step explanation:
Divide the coefficient of x by 2
8/2 = 4. Now find the square of 4 = 4² = 16
Add 16 to both sides of the equation
x² + 8x + 16 = 3 + 16
x² + 2* x * 4 + 4² = 19
{Compare with a² + 2ab + b² = (a + b)² }
(x + 4)² = 19
Both sides take square root,
[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]
x + 4 = ± 4.36
x + 4 = 4.36 ; x + 4 = -4.36
x = 4.36 -4 ; x = -4.36 - 4
x = 0.36 ; x = - 8.36
PLEASE HELP ASAPPP -K-12-
What is the equation of the line in slope-intercept form?
y =
x +
Answer:
y = (3/5)x + 3
Step-by-step explanation:
(-5,0)
(0,3)
3/5 x + 3
Which of the following is TRUE?
1 point
A.√0 = ± 0
B.√36 = ± 6
C.√-25 = 5
D.√48 = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is :
[tex] \sqrt{36} = \pm6[/tex]write an equation of the line perpendicular to given line that contains P. P(5,-4); y=1/5x+4
Answer:
y = - 5x + 21
Step-by-step explanation:
Slope: -5
Point: (5, -4)
b = - 4 - (- 5)(5)
b = - 4 + 25
b = 21
Consider the inequality.
What is the solution to inequality
Answer:
C, hope this helps :)
Answer:[tex]x\leq 2[/tex]
Step-by-step explanation:
Ozzie is 6 years older than McKenzie. Theo is Ozzie's dad and is 3 times older than McKenzie. Ozzie is 8 years old. How old is Theo?
Answer:
If Ozzie is 8 and 6 years older than McKenzie, then McKenzie is 2 years old. So if Theo is 3 times older than McKenzie, then Theo is 6 years old.
How many times as great is 4 x 106 compared to 8 x 103
PLEASE HURRY AND ANSWER KIND OF IN A RUSH HERE
The number of times [tex] 4 \times 10^{6} [/tex] is greater than [tex] 8 \times 10^{3} [/tex] obtained using the division operation is 500 times
Given ::
Numerator = [tex] 4 \times 10^{6} [/tex] Denominator = [tex] 8 \times 10^{3} [/tex]Using the principle of indices :
[tex] (4 \times 10^{6}) \div (8 \times 10^{3}) = 0.5 \times 10^{(6-3)} = 0.5 \times 10^{3} = 500 [/tex]Therefore, [tex] 4 \times 10^{6} [/tex] is 500 tones greater than [tex] 48 \times 10^{3} [/tex]
Learn more : https://brainly.com/question/18360970
Evaluating
70 points worth is it worth it. Also whoever get it right or to the closest answer gets an brainliest.
Answer:
1
Step-by-step explanation:
first, solve in the parentheses then solve from there:
1 + 4 = 5
50 - 5^2 / 25
50 - (5 x 5 ) /25
50 - 25 / 25
25 / 25
1
[tex]\\ \tt\longmapsto \dfrac{50-(1+4)^2}{25}[/tex]
[tex]\\ \tt\longmapsto \dfrac{50-5^2}{25}[/tex]
[tex]\\ \tt\longmapsto \dfrac{50-25}{25}[/tex]
[tex]\\ \tt\longmapsto \dfrac{25}{25}=1[/tex]
What are the combining like terms ?
Answer: 6 + 3 − 9
− 3 + 3
-3+3m
3m-3
Step-by-step explanation:
select all the pieces of the triangle that are marked as congruent in the following picture
Answer:
C. D. E. is the correct answer.
Step-by-step explanation:
Hope this helps you. Have a nice day. If you have doubt then please ask in comments.
Please mark as brainliest. It helps a lot.
Answer:
M = C
BC = LM
B = L
Step-by-step explanation:
We can see that there are double lines between BC and LM, and a triple line curves at Angle B and Angle L.
We can conclude that:
A = K
B = L
C = M
C = K (NO)
BA = MK (NO)
M = C (YES)
BC = LM (YES)
B = L (YES)
A salon offers three services–manicures, massages, and hair styling. Five clients
come in for all three services. Forty clients come in for both hair styling and
manicures. Thirty-five clients come in for both manicures and massages. Fifteen
clients come in for both hair styling and massages. Ten clients come
in only for massages. Five clients only come in for hair styling and only two
clients come in for just manicures. How many total clients are represented by
the data?
Answer:
Well... The data represents 97 clients.
Step-by-step explanation:
I also included a picture to explain.
what is
[tex]8x10 {}^{6} [/tex]
what is the equal to
Triangle ABC is transformed to create triangle MNO and triangle PQR as described below.
MNO represents the translation 2 units left and 2 units down of triangle ABC.
PQR represents the dilation of triangle ABC by a scale factor of 2.
Which of these is correct?
The missing options are located here; https://brainly.com/question/18156103
The option that correctly describes the transformation that took place with triangle ABC is; Option A.
In transformations, translation simply means shifting an object from one position to the other while dilation simply means increasing or decreasing an object by a scale factor.This means that translation preserves the lengths and angles of the object while the lengths and angles change with dilation.Option A; Triangle MNO represents a translated triangle and as such the lengths and angles remain unchanged and so this option is correct.
Option B; Not true because both lengths and sides are preserved as stated above.
Option C; Transformation to PQR denotes dilation by a factor of 2 and as such the lengths and angles change. Thus this option is not true.
Option D; This is not true for the same reason in option C above.
Read more at; https://brainly.com/question/18156103
Part F
Are the two triangles similar? Why or why not?
The Two triangles are similar. The bigger blue triangle is the quadruple the size of the smaller green one. The blue triangle's area is 4 times the green one.
Blue triangle- 6×4=24
Green triangle- 3×2=6
Mark BRAINLIEST!
Please!!!
find midpoint of (7,-3) and (15,-8)
Answer:
{0.5(7+15),0.5(-3-8)}
Step-by-step explanation:
(0.5(sum of x values),0.5(sum of y values))
Tupac bought a new video game. While he learned how to play, he played 5 games and had a
combined score of -325 points. Write and find the value of an expression for the average number
of points he lost in the first 5 games.
what is 15% of $8.00
Answer:
15% of $8.00 is: $1.20
Step-by-step explanation:
Hope this helps :)
Pls mark as brainliest <3
0.884743701 British pounds and 1.2 US$
Select all the statements that best describe the graph below.
The Correct choices are :
The independent variable is MonthsThis is a positive relationship The relationship is linear The rate of change is constant The dependent variable is dollars in savings accountDescribe the process for selecting points when dilating a curved figure.
When dilating a curved figure, you have to make sure to use a lot of points to produce a decent image of the original figure. You also have to make sure that the points you choose are not all concentrated in just one part of the figure.
Can someone help me do this
Answer:
X = 2
5y + (what is that number???) can not see it
The Flintstone and Rubble families went out to dinner. The Flintstones purchased 3 cheeseburgers and 2 hotdogs for $19. The Rubbles purchased 2 cheeseburgers and 1
hotdog for $12.
Determine the total cost of buying ONE cheeseburger and ONE hotdog to select the True statement:
O A. 1 cheeseburger + 1 hotdogs4
B. 1 cheeseburger + 1 hotdog = $5
OC. 1 cheeseburger + 1 hotdog = $6
OD 1 cheeseburger + 1 hotdog = 57
Answer:
C
Step-by-step explanation:
simplify the expression -5 3/4 + -1/4
Answer:
-5/2(-2.5)
Step-by-step explanation:
hope this helps