Answer:
m = 10
Step-by-step explanation:
The triangles are similar. The scale factor is 15/9.
We multiply 6 by the scale factor and get m:
m = 6 * 15/9 = 10
Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.
a = 16,6 (circa)
At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score
Answer:
The Rams scored 7 points.
Step-by-step explanation:
42/6 = 7
since the Coyotes scored 42 points, you would divide that score by however many they would get for every 1 point the Rams would get.
f(x) = (x - 1) (4x + 3) (3x - 8) has zeros at x = 3/4, x= 1, and x = 8/3.
What is the sign of f on the interval - 3/4
Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.
The function is:
[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]
The zeroes are:
[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]
Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.
Then:
[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]
Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].
A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253
Dan is using tiles to add - 8 +6. He begins with the tiles shown below.
OOOOOOOO
What is the sum of -8+6?
0-14
-2
02
14
Answer:
-2
Step-by-step explanation:
: Ram lived in a small village. When he left for a college in a city, the population of his village was 840. When he came back, the , population had grown by 5%. What was the nopulation he found?
Answer:
882
Step-by-step explanation:
840 : 100 x 105 = 882
9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2
Answer:
9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4
3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)
Which equation could define the function below?
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)
Answer:
y= (x+1)(x+ .5) (x+ 3.5)
y= (x+1) (X - .5) (x-3.5)
y = (x-1) (X-.5) (x-3.5)
y= (x+1) (X- .5) (x +3.5)
Step-by-step explanation:
A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer: ($2100+96d) + ($2755+116d)
= $4855+212d
Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).
Answer:
y = 1/2x + 2.
Step-by-step explanation:
It passes through the points (-4, 0) and (2,3) so
the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.
Using the point slope form of a straight line:
y - y1 = m(x - x1):
y - 3 = 1/2(x - 2)
y = 1/2x - 1 + 3
y = 1/2x + 2 is the required equation.
Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire distance travelled is 90 km, find Carlos’ speed in the first two hours of travel.
Answer:
f=24km/h
Step-by-step explanation:
Alright, here's what we know.
He travels 2 hours at a fast speed, lets call that speed f km/h
He then travels 3 hours at (f-10) km/h
In these 5 hours, he travels 90km
So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.
So we have:
[tex]v=\frac{d}{t}[/tex]
d and t are given to us as 90 and 5 respectively
v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.
[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]
2f+3f−30=90 by cancelling the 5's in the denominator and expanding 3(f−10)
5f=120
f=24km/h
So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.
Anyone know this answer I will give you 28 point.
Answer:
V to X = 68mi
X to W = 50mi
V to W = will be 68mi too
Step-by-step explanation:
note ; it's a triangle*
Which values of k would cause this system of equations to have no solution? Check all that apply. 6x 4y = 14, 3x 2y = k â€"2 5 7 10 21.
The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;https://brainly.com/question/17671517
Answer:
-2, 5, 10, 21
A, B, D, E
A store owner discounted some silver coat racks from $625 to $405. What percentage is the discount?
Answer: 64.80% not 100% positive if i did that math right but thats what i got
Step-by-step explanation:
38.8679
Step-by-step explanation:
PLS HELP ASAP. QUESTION IN PICTURE
Answer: 50 degrees
Step-by-step explanation:
This is actually quite simple using the exterior angle theory
"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"
In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables
120=70+x
120-70=x
Angle x = 50 degrees
A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
please write an inequality
also please solve for p <3
Tom, Kristen, and bill bought 3 granola bars to share amongst themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar. Which equation represents how many granola bars Kristen ate.
Answer:
3/4 of a bar.
Step-by-step explanation:
Each piece of the granola bar is 1/4 of the bar. She ate 3 portions, so she ate 3/4.
five times a number is ten more than three times the number. Find the number
5x = 10 + 3x
5x - 3x = 10
2x = 10
x = 5
To check
5(5) = 10 + 3(5)
25 = 10 + 15
25 = 25
Answer:
x = 5
Step-by-step explanation:
Number = x
5x = 10 + 3x
2x = 10
x = 5
The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.
The solution of the equation can be determined by substituting the points in the equation and solving it.
The solution of the given equation would be interpreted by solving the equation for the value of x and y.
The solution of the equation is (400, 3200) and it can be determined by using substitution method.
Given that,The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.
The second equation gives the cost of making x baseball caps.
[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]
The solution of the system is (400, 3,200).
We have to determine,How would you interpret this solution?
According to the question,The first equation in the following system gives a company's income, in dollars, for selling x baseball caps.
The second equation gives the cost of making x baseball caps.
[tex]\rm y = 8x\\\\ y = -0.01 x^2 + 4x + 3200[/tex]
On solving both the equation,Substitute y = 8x in the equation 2,
[tex]\rm y = -0.01 x^2 + 4x + 3200\\\\ 8x = -0.01 x^2 + 4x + 3200\\\\0.01x^2+8x-4x-3200=0\\\\0.01x (x+800) -4(x+800)=0\\\\(x+800)\ (0.01x-4)\\\\When \ \ x +800=0, \ x = -800\\\\And\ \ 0.01x-4 = 0, \ \ x = \dfrac{4}{0.01} \ \ x =400[/tex]
The value of x is not -800 because the cost can not be negative.
Then the value of x is 400.
Substitute the value of x in equation 1,
[tex]\rm y = 8x\\\\y = 8(400)\\\\y = 3200[/tex]
Hence, The solution of the equation is (400, 3200).
For more details about System of Equation refer to the link given below.
https://brainly.com/question/281027
What is the domain???????
Answer:
H
Step-by-step explanation:
The domain is the values of x in a function.
The graph appears to extend infinitely to the right and left going from the x value 1
From what it looks like the two lines never touch or go over the x value 1 and extend infinitely to the right and left meaning that the values of x of the function are all real numbers but x = 1.
This can be written as {x | x ≠ 1 }
The answer is H
pls help me i do not know how to do this
Answer:
D. Reflect across the y-axis and then across x = 7
Step-by-step explanation:
A and B work because each transformed point is 12 to the right (x-value is 12 greater), and 3 left then 15 right is the same thing as just 12 right.
C. works because if you take each of the points and reflect them over the y-axis (make the x value positive) and then across the line x=6 (vertical line at 6 on the x-axis) it will map the points onto the correct image.
So, the answer is D. Reflect across the y-axis and then across x = 7.
What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1
Answer:
C
Step-by-step explanation:
It has a negative slope and it crosses the y axis at -1
Given f(x) = 3. + 1, solve for when f(3) = 7.
Answer:
The question is incomplete
Kile’s weight is 30 pounds less than the product of Mindy’s weight and 3. Let m represent Mindy’s weight. Write an expression that represents Kile’s weight.
Answer:
3m - 30
Hope you could get an idea from here.
Doubt clarification - use comment section.
So the expression till now
[tex]\\ \sf{:}\Rrightarrow m(3)[/tex]
[tex]\\ \sf{:}\Rrightarrow 3m[/tex]
But the required weight is 30pounds less than it
[tex]\\ \sf{:}\Rrightarrow 3m-30[/tex]
The ratio of boys to girls at a monster truck rally is 4:3. Create a ratio table with examples of how many boys and girls could be at the rally?
4:3
8:6
12:9
16:12
20:15
24:18
28:21
Graph a line with a slope of -3/4 that contains the point (2,3).
Answer:
The graph will be on the bottom:
Step-by-step explanation:
First find the slope intercept form:
y=mx+b
m is slope
b is y-intercept
since we already have slope we can replace that with m
y=-3/4x+b
Now substitute x and y with 2 and 3
3=-3/4 (2)+b
3=-3/2+b
Add on both sides:
9/2=b
Thus the Slope-intercept form is
y=-3/4x+9/2
Hope this helps!
2. What additional Information What additional information do you need to prove ABC = DEF by the SSS Postulate?
AC = DF
AB = DE
BC = EF
what is 69+69-69+1-1+0
Answer:
207
Step-by-step explanation:
Slope formula: trying to make sure I’m doing this right
Answer:
Yup ur Right ;D
Step-by-step explanation:
Can someone please help me with this one? Tysm! ^^
Helppppppppppppppppp
[tex]\huge \tt༆ Answer ༄[/tex]
The respective terms used for the lines are ~
a.) Line a = Tangent b.) Line b = Radius c.) Line c = Diameter d.) Line d = SecantStep-by-step explanation:
a is tangent
b radius
c diameter
d chord
Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region
Answer:
B 68 sq cm
Step-by-step explanation:
There's an overlap of 4
2*13 + 4
4 * 17 is 68
Katie don't delete my work!