Answer:
the slope of the two points is [tex]-\frac{7}{2}[/tex]
Step-by-step explanation:
to find the slope of two points you have to subtract them (x1,y1), (x2,y2)
Steps:
[tex](X_1,Y_1) (X_2, Y_2)[/tex]
[tex]\frac{3 - 10}{8 - 7} = -\frac{7}{2}[/tex]
What is the value of the expression 5y² + 4x when x = 2.5 and y = 3?
Answer:
55
Step-by-step explanation:
the value of the expression 5y² + 4x when x = 2.5 and y = 3 will be 55.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression 5y² + 4x
To calculate the value of expression at x = 2.5 and y = 3
Substitute the value of x and y in the expression:
=> 5y² + 4x
=> 5* 9 + 4 * 2.5
=> 45 + 10
=> 55
therefore, 55 is the value of the expression 5y² + 4x when x = 2.5 and y = 3.
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jess makes salad dressing by mixing lemon juice and olive oil in the ratio 2:5 by volumr.me. shes uses 0.5 litres of lemon juice. work out how much olive oil she uses to make the salad dressing.
Answer:
its 2.5 liters of olive oil because .5 times 5 equals 2.5 needed to satisfy ratio.
Which statement describes the y-intercept of the graph of a proportional relationship?
Choose the correct answer below.
A.
The line intersects the y-axis of the graph above the origin.
B.
The line intersects the y-axis of the graph at the origin.
C.
It is greater than the x-intercept of the line.
D.
It is equal to the x-intercept of the line.
Answer:
B i worked out all of them and only b can fit
The line intersects the y-axis of the graph at the origin. The correct option is B.
What is a Proportional Relationship?A proportional Relationship is when a variable is in direct variation to another variable such that on increasing one the other proportionally increases.
The equation for a proportional relationship is
y ∝ x
y =kx
where k is the proportionality constant
The equation of a straight line is y = mx +c
here c is the intercept on the y-axis
Comparing the two equations, this can be confirmed that
c = 0
Therefore, the line intersects the y-axis of the graph at the origin.
The correct option is B.
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For what value of x is PQ || BC?
A 5
B. 6
C. 7
D. 8
Answer:
C. 7
Step-by-step explanation:
[tex] In\: \triangle ABC\\
\overline{PQ} \parallel \overline {BC}.. (given) \\[/tex]
Therefore, by Basic Proportionality theorem:
[tex] \frac{AP}{PB} = \frac{AQ}{QC} \\\\
\therefore \frac{x}{x+7} = \frac{x-3}{x+1} \\\\
\therefore \: \frac{x - x - 7}{x + 7} = \frac{x - 3 - x - 1}{x + 1} \\ (by \: dividendo) \\ \\ \frac{ - 7}{x + 7} = \frac{ - 4}{x + 1} \\ \\ \frac{7}{x + 7} = \frac{4}{x + 1} \\ \\ 7x + 7 = 4x + 28 \\ \\ 7x - 4x = 28 - 7 \\ \\ 3x = 21 \\ \\ x = \frac{21}{3} \\ \\ \huge \red{ \boxed{ x = 7}}[/tex]
For the function below, (a) find the vertex; (b) find the axis of symmetry; (c) determine whether there is a maximum or a
minimum value and find that value; and (d) graph the function.
f(x) = -x2 - 6x-4
Answer:
Step-by-step explanation:
f(x) = ax² + bx + c
"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )
axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]
If a > 0 the function opens upward and has minimum value.
If a < 0 the function opens downward and has maximum value.
f(x) = - x² - 6x - 4
(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5
Coordinates of vertex are (- 3, 5)
(b). The axis of symmetry is x = - 3
(c). The given function opens downward
y = 5 is a maximum of a given function.
A rose bush of height `h` is planted at an initial height of 3 feet. The bush is expected to grow an average of 0.5 feet per year. How tall will the bush be 3 years after planting? Show the work that leads to your answer (either in the text box below or on the white board to the right).
Answer:
The height is 4.5ft
Step-by-step explanation:
Given
[tex]Initial\ Height = 3\ ft[/tex]
[tex]Growth = 0.5\ ft[/tex] yearly
Required
Determine the height in 3 years
First, we need to determine the growth equation.
Represent the height with h and the years with x
So:
[tex]y = Initial\ Height + Growth * x[/tex]
[tex]y = 3 + 0.5 * x[/tex]
[tex]y = 3 + 0.5x[/tex]
To solve the required, we have that:
[tex]x = 3[/tex]
[tex]y = 3 + 0.5x[/tex] becomes
[tex]y = 3 + 0.5 *3[/tex]
[tex]y = 3 + 1.5[/tex]
[tex]y = 4.5[/tex]
Hence, the height is 4.5ft
What’s the area for this shape??????
Answer:
40cm²
Step-by-step explanation:
The formula of a trapezium is: A=1/2(a+b)h
The values are: a=6, b=10 and h=5
Therefore, to calculate the area: A=1/2(6+10)5
Hence, the area of the trapezium is A=40cm²
If you subtract 16 from my number and multiply the difference by -3, the result is -39 what is my number
Answer:
29
Step-by-step explanation:
Start with -39. We need to do inverse operations to figure out the solution. -39 divided by -3 is 13, and 13 plus 16 is 29.
Answer:
29
Step-by-step explanation:
-39=-3(n-16)
13=n-16
29=n
help
i dunno it
please please
Answer:
it takes 24 days
of the 24 students in Michelle's homeroom, of them rode the bus to school. How many
students in Michelle's homeroom rode the bus to school?
A baseball team had $250 to spend on supplies. The team spent $46.25 on a new bat. New baseballs cost $2 each. The inequality46.25+2b≤250 can be used to determine the number of new baseballs, b, that the team can purchase.
Answer: 101
[tex]\leq 46,25+2b\leq 250\\\\=> 2b\leq 250-46,25=203,75\\\\<=> b\leq 203,75/2=101,876[/tex]
but b is the number of new baseballs
=> [tex]b\leq 101[/tex]
=> the team can purchase 101 baseballs
Step-by-step explanation:
Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25
Answer:
Yo tengo 10 años y eso da 1,190
Step-by-step explanation:
Whats is the answer for 30x10283
Answer: 30 x 10,283= 308,490
Step-by-step explanation: 30 multiplied by 10,283 equals 308,490
solve each system of equations using substitution. x=y+1 x=3y+2
Answer:
x=1/2
y=-1/2
Step-by-step explanation:
x = y+1
x = 3y+2
Substitution means that you solve one equation for a variable by plugging it into the other equation. In this case, the first part is already done for you, and all you have to do is plugging in.
As you're given the value of the x in both equations, it does not matter which equation you plug into. You can plug either equation into one another.
For this, I will show you by plugging in the bottom equation for the top equation.
x = y+1
x = 3y+2
As we know x=3y+2, you must SUBSTITUTE that for the "x" in the top equation.
3y+2 = y+1
From there, you must solve it for the "y" value. In order to solve for the "y" value, you must get the "y" by itself onto one side.
So, subtract y from both sides.
(3y-y)+2 = (y-y)+1
Rewrite the equation.
2y+2 = 1
Remember, the goal is to get the "y" BY ITSELF.
There's a "+2" on the side of the y, so that has to be cancelled out. You can cancel it out by doing the OPPOSITE of adding, which is subtracting. So subtract both sides by 2.
2y+(2-2)=(1-2)
When subtracting a bigger number from a smaller number. The pattern is: Keep it, flip it, flip it.
Keep the 1.
Flip the - to a +
Flip the 2 into a -2.
So you get 1+(-2) which is -1. Now, rewrite the equation.
2y=-1
You want the y by itself. Right now, the y is being multiplied by 2, so you have to do the OPPOSITE, which is division. Divide both sides by 2.
y=-1/2
Now, use this value to plug into your ORIGINAL equations (you can pick either)
x = y+1 OR x = 3y+2
x= -1/2 + 1
x=1/2
(1/2, -1/2)
NEED HELP PLEASE!!! Lionel created a scatter plot and drew a line of best fit, as shown.
What is the equation of the line of best fit that Lionel drew?
Answer: A.
Y=-2x+16
Step-by-step explanation:
You gotta find the pretty points on the line of the linear function. Then you have to find the slope (rise over run) with those pretty points. Then you have to use a coordinate (I used 6,4) to find the y intercept. Then you solve the equation, by plugging in all the numbers :) hope this helps.
Which of the following equations is written in vertex form?
Oy= 2x² + 3x – 8
Oy= 3 (x + 5) (x - 2)
O y= -2(x + 5)2 – 2 .
O y = 3x – 5
Need help please!!!
6,857 my lessons my stuf The Pythagorean Theorem What is the distance between the points (22,21) and (26,24)?
Answer:
the distant between 20,21 is 1. and the distant between 26,24 is 2.
Step-by-step explanation:
1. 21-20=1
2. 26-24=2
hope this helps
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
Answer:
the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.
Step-by-step explanation:
i know things
Answer:
the answer is A
Step-by-step explanation:
i will give brainlist
Answer:
oml not u making me do math
Step-by-step explanation:
not u making me do math
Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda
Answer:
1/2 teaspoon salt
Step-by-step explanation:
We can make this into a ratio of salt:baking soda
1/8:1/4
now, how many 1/4 will we need to make 1?
If we multiply 1/4 by 4, we get one. So, we should do the same to 1/8!
1/8*2=4/8, or 1/2 teaspoon
Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7
Answer:
12, 43/63
Step-by-step explanation:
Answer: 12 43/63
Step-by-step explanation: it was correct on my test
5. Choose the equation of a line that is perpendicular to the given line and that passes through the given
point.
4x - 12y = 2; (10,-1)
A.) y=3x + 29
B.) y=--x+29
3
C.) y=-3x + 29
D.) y=--x+7
Answer:
Step-by-step explanation:oh
Roberto has run the first 16 miles of a race, which means he is 72% finished. How long is the race?
Answer:
approximately 22.2 miles
Step-by-step explanation:
16mi/72% =xmi/100%
72x=1600
x=22.2222222.....
Answer: 22.2 miles
Step-by-step explanation:
You kinda remind me of Joe...
Answer:
nice
Step-by-step explanation:
Answer:
ok?
Step-by-step explanation:
In the diagram below, find the value of x to the nearest hundredth
Answer:
x = √324 = 18
Step-by-step explanation:
x shows up only in the second problem, so I'll focus on that problem.
This is a right triangle because one of the three angles is 90 degrees.
Thus, the Pythagorean Theorem applies: x^2 + 24^2 = 30^2, or
x^2 = 900 - 576 = 324
Then x = √324 = 18
I will brainlist HELP
Answer:
x = 7
y = 10
Step-by-step explanation:
<K and <NLK are marked as being equal.
That means that KN and LN are equal.
So LN = 6
y - 4 = 6
y = 4 + 6 = 10
For the same reason LN = LM
That means that x + 3 = 10
x = 10 - 3
x = 7
HELP PLEASE!!! This is a Function or Not a Function Assignment HELP I DON’T UNDERSTAND IT PLEASE
Answer:
O and N is a function
K is not a function.
Step-by-step explanation:
O and N is solved for X perfectly, but K has mixed variables so there isn't a y-intercept.
Jerry and Jo are making brownies for the bake sale.
Each pan of brownies will be cut into 18 rows with 12 brownies per row.
They plan to make 12 pans of brownies.
Choose Yes or No to tell if the equation shows the number of brownies they will make.
(12 x 18) ~ 12 = b
18 * (2 x 12) = b
18 x 12 = b
12 x (12 * 18) = b
Answer:
Yes
12 * (12 * 18) = b will give the total number of brownies to be made
Step-by-step explanation:
Here, we want to select which of the equations will give the number of brownies to be made
The total number of brownies is b
For each pan, we have 18 rows , with 12 per row
So the total number of brownies per pan is 12 * 18
Since they are making 12, the total number of brownies b will be;
12 * (12 * 18) = b
please explain this in steps please friends
Answer:
See below
Step-by-step explanation:
The LHS and RHS are exactly the same, so the equality is true.
The associate property of addition says that
[tex]\boxed{a+(b+c)=(a+b)+c}[/tex]
In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.
[tex]\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )[/tex]
[tex]\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}[/tex]
[tex]\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}[/tex]
[tex]\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}[/tex]
[tex]\dfrac{ 23 }{12}[/tex]
Answer:
You gotta give me (us) more to work with homie.
Step-by-step explanation:
If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(
Kellie is allowed to watch up to 90 minutes of tv pre day. If she watched 10 minutes before school, how many 20-minute tv episodes can she watch after school?
Answer:
4
Step-by-step explanation:
As she watches 90 minutes of tv pre day and she watched 10 minutes before school
So minutes left 90-10=80
And 1 episodes contains 20 minutes
So she can watch tv episodes
= 80÷20
=4 (ans)
Note:It is the answer as far as I know. If you have any doubt you can go with others