Answer:
b)42, x=-2
Step-by-step explanation:
Answer:
The option 'b' is correct.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:10x^2\:+\:40x\:+\:42[/tex]
Determining the y-intercept
The y-intercept can be obtained by setting the value x = 0
[tex]y\:=\:10x^2\:+\:40x\:+\:42[/tex]
[tex]y\:=\:10\left(0\right)^2\:+\:40\left(0\right)\:+\:42[/tex]
[tex]= 0+0+42[/tex]
[tex]=42[/tex]
Therefore, the y-intercept is:
(0, 42)Determining the axis of symmetry
Given the equation
[tex]y=\:10x^2\:+\:40x\:+\:42[/tex]
For a parabola in standard form [tex]y=ax^2\:+\:bx\:+c[/tex]
the axis of symmetry is the vertical line that goes through the vertex
[tex]x=\frac{-b}{2a}[/tex]
so
The axis of symmetry for [tex]y=ax^2\:+\:bx\:+c[/tex] is [tex]x=\frac{-b}{2a}[/tex]
[tex]a=10,\:b=40[/tex]
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-40}{2\cdot \:10}[/tex]
[tex]x=-2[/tex]
Therefore, the option 'b' is correct.
You are seeking to be emancipated from your parents. You are looking for an apartment. There are two final choices. Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 security deposit and costs $1175 each month. How many months, m, will it take for the costs to be the same?
Answer:
20 months
Step-by-step explanation:
Initial difference = 500$
Monthly difference = 25$
500 / 25 = 20
What's the definition: A statement that compares two quantities, using the symbol < or > *
Answer:
i think the answer is inequality
Graph the linear equation 7x - 3y = -21.
Answer:-21
Step-by-step explanation:
Answer: ok...
Step-by-step explanation:
9x - 60 = 18 + бх
What value of x makes this equation true?
Answer: x=26
Step-by-step explanation: first you would subtract 6 from both sides.
Next, you would add 60.
Lastly, you would divide both sides by 3.
So your answer is 26.
Answer:
x=26
Step-by-step explanation:
step 1: simplify both sides of the equation
step 2:subtract 6x from both sides
step3:add 60 to both sides
step4:divide both sides by 3
please help me with the last question, i tried 48 lol
Answer:
108:72
Step-by-step explanation:
Answer:
The missing value in the ratio that will appear next is: 108 and the ratio is 108:72
Step-by-step explanation:
The pattern of equivalent ratios is given in the picture.
The ratios are equivalent which means that the simplest form of ratio will be same for all ratios in the pattern.
So,
[tex]\frac{18}{12} = \frac{36}{24} = \frac{54}{36} = \frac{72}{48} = \frac{90}{60} = \frac{3}{2}[/tex]
This means that the simplest form of ratio for upcoming in the pattern will be 3/2
Let x be the missing value in ratio
Then
[tex]\frac{x}{72} = \frac{3}{2} \\x = \frac{3}{2} * 72\\x = 108[/tex]
Hence,
The missing value in the ratio that will appear next is: 108 and the ratio is 108:72
Can someone please help me with all the questions?
Answer:
Here you go. It was much simpler than it looked.
Explanation:
[tex]Start\\ a^{2}+b^{2}=c^{2}\\ 9^{2}+12^{2}=c^{2}\\ 81+144=c^{2} \\ 225 = c^{2} \\ \sqrt{225} = \sqrt{c}^{2}\\ 15 = c\\ c = 15[/tex]
Consider Brainliest! Hope I helped!
rewrite this equation in the form y=ax+b
2y=4x-8
what is the highest commen factor of 17 and 16
Answer: 1
1 is the GCF of 16 and 17. Hope this helps.
-BrainlyRacer
Find the missing length in the image below. Will give brainliest!!!
Answer:
I think the answer is 169
The value of y is directly proportional to the value of x. Given y = 12 when x = 36.
What is the value of y when x = 60?
13
3
20
180
What is the length of BC?
A) 9 units
B) 11 units
C )15 units
D) 16 units
Answer:it’s a or c
Step-by-step explanation:
Hope this helped have a good day stay safe
Answer:
C. 15 units
Step-by-step explanation:
I'm sorry if this is a late answer but I hope other people can find this helpful :)
Can someone please explain this to me?
Which of the tables is a function?
PLEASE HELP
15 POINTS
or Brainlist answer!!!
Answer:
I say C is your best answer because it might be a typo
An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup? Will award brainliest!
Answer:
10 liters
Step-by-step explanation:
let sugar in x liters of 60 % sugar syrup be equivalent to sugar in 40 liters of 45 % sugar syrup.
x×60 %=40×45%
60x=40×45=1800
x=1800/60=30
40-30=10
so 10 liters of 60 % sugar syrup be replaced with 10 liters of distilled water to make 40 liters of 45 % sugar syrup.
Answer: The baker needs to pour off 10 liters of the solution and replace it with 10 liters of distilled water.
.6(40) = 24. .45(40) = 18 24-18 = 6 6 = .6(10) 10 liters must be substituted.
Step-by-step explanation:
The original 60% solution contains 24 L syrup and 16 L water.
A 45% solution must contain 18 L syrup and 22 L water.
The difference in syrup is 6 L. 10 L of the 60% solution contains 6 L syrup.
After pouring off 10 L, the remaining 30 L will contain 18 L syrup and 12 L water.
By adding 10 L water, the resulting solution is 18 L syrup and 22 L water.
18/40 = .45 which is the desired 45% syrup.
.
What does 5/6 ÷ 8.5 equal, in fractions and division form
Answer:
5/51 or 0.098
Step-by-step explanation:
Step-by-step explanation:
5/6 ÷ 8.5
8.5 = 8 1/2 = 17/2
5/6 ÷ 17/2
5/6 × 2/17 = 5/51
In circle C what is angle 2
Answer:
33 degrees.
Step-by-step explanation: Half of a circle is 180 degrees. If we view the half of circle with angle C on it we can see the other part of the half of circle is 147 degrees. Since we know half a circle is 180 degrees, we subtract our known variable from 180 to get our unknown angle C, 33 degrees.
alright guys last one for today :))) plzz help
Answer:
o noooo why
Step-by-step explanation:
Teresa is making sock puppets just like the one in the photo. If she has 53 buttons and how many puppets can she make?
Answer:
How much buttons is on it.
Step-by-step explanation:
If three you can make 17 puppets.
for each graph find the slope
Answer: -1/2, 3/2, -1/3
Change in y over change in x
convert
[tex] - \frac{\pi}{5} [/tex]
into degrees
A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?
1/5 mile per hour
1/5 hour per mile
1 mile per hour
5 hours per mile
Answer:
1/5 mile per hour
Step-by-step explanation:
Hope that helps!
Answer:
1/5
Step-by-step explanation:
What is the best estimate of the perimeter of this figure?
On a coordinate plane, a figure is 27 units around.
18 units
21 units
27 units
31 units
The approximate perimeter of the figure is 27 units
The perimeter of the quadrilateralFrom the given diagram, the perimeter is the sum of all the sides in units
Since one square box is equivalent to 1 unit, hence the perimeter is expressed as:
Perimeter = 9 units + 5 units + 3units + x
x is the slant sides
The perimeter of the figure = 27 units (x is approx 10 units)
Hence the approximate perimeter of the figure is 27 units
Learn more on perimeters here: https://brainly.com/question/22447290
Answer:
C,3 or 27 units
Step-by-step explanation:
The approximate perimeter of the figure is 27 units
Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12
Answer:
x-intercept= 6
y-intercept= 4
Step-by-step explanation:
Solve for x first then solve for y.
If you can make my answer brainliest that would be much appreciated. Thanks!
The x- and y-intercepts of the linear equation
2x + 3y = 12 are (6, 0) and (0, 4).
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, A linear equation 2x + 3y = 12.
To obtain the x-intercept we'll make y = 0 in the equation which is,
2x + 3(0) = 12.
2x = 12.
x = 6.
So, The x-intercept is (6, 0).
To obtain the y-intercept we'll make x = 0 in the equation which is.
2(0) + 3y = 12.
3y = 12.
y = 4.
So, The y-intercept is (0, 4).
learn more about x-intercept and y-intercept here :
https://brainly.com/question/14180189
#SPJ2
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Slope (m) is equal to the change in the y-coordinate divided by the change in the x-coordinate.
The change in y= 6
The change in x= 3
6/3 =2
find the points where the graphs of y=1-x and y=x-3 intersect algebraically
Answer:
The point of intersection is (2, -1).
Step-by-step explanation:
At the point of intersection both equations have same value of x and y.
y = x - 3
y = 1 - x
Since the 2 right sides are both = y:
x - 3 = 1 - x
x + x = 1 + 3
2x = 4
x = 2.
Substituting for x in equation 1:
y = 2 - 3 = -1.
Find the Valué of X when lines W and V are parallel.
A. 15.5
B. 17
C. 23.25
D. 29.5
Please help me thanks
Answer:
1,2,4,5,10
1,2,3,5,6
60
Step-by-step explanation:
URGENT!!! WILL MARK BRAINLIEST!
Find the measure of Angle DBE then find the measure of ∠ABD?
Answer:
m<DBE =50°
m<ABD=150°
Step-by-step explanation:
Because of Straight Angles, All the angles will add up to 180 degrees
Let x be m<DBE
40+x+70+20=180
x+130=180
x=50
m<DBE will be 50 degrees
To find the m<ABD, we add m<FBA, m<FBE, m<DBE.
70+50+30=150
m<ABD = 150
Answer:
angle DBE=
Step-by-step explanation:
We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.
Now, 90-40=50 (angle DBE's measure)
Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.
HTH :)
I have to reduce the fraction 49/35 using factor trees
Answer:
The fraction 49/35 reduced is: 1 14/35
Step-by-step explanation:
help me plsssss yes plssss❤️❤️
Answer:
17 feet
Step-by-step explanation:
2-(-15)
=17 feet
PLS GIVE BRAINLIEST
Answer:
17 feet
Step-by-step explanation:
15 + 2 = 17