Hi there!
[tex]\large\boxed{x = 2.5}[/tex]
y = x² - 5x - 6
Rewrite into factored form by finding two numbers that sum up to -5 and multiply into -6. We can use the numbers -6 and 1:
y = (x - 6)(x + 1) is the equation in factored form.
There are zeroes at:
0 = x - 6
x = 6
0 = x + 1
x = -1
Find the x-value exactly half-way between the two zeroes to find the axis of symmetry:
(-1 + 6) / 2 = 5 / 2 = 2.5
Therefore, the equation for the line of symmetry is:
x = 2.5
A line's y-intercept is 9, and its slope is 10. What is its equation in slope-intercept form?
Answer:
y=10x+9
Step-by-step explanation:
Slope intercept form is y=mx+b
m represents slope so 10 replaces the m
b represents the y-intercept (where the line crosses the y-axis) so 9 replaces the b
16) 472 students are going on a field trip. 120
students will be returning home and the
rest will be spending the night in cabins. If
a cabin sleeps 8 people, how many cabins
need to be rented?
A) 59 cabins B) 74 cabins
C) 44 cabins D) 4 cabins
472 - 120 = 352 students
--
352 ÷ 8 = 44 cabins
--
so c) 44 cabins need to be rented
Find the value of the variable. Round the answer to the nearest tenth when needed.
A 6
B. 6.7
C. 16.2
D. 22.5
PLS HURRY IM BEING TIMED What is the cost
help plz i need it very much
The only triangle with the base being bisected perpendicularly is an isosceles triangle or an equilateral triangle. Therefore, [tex]KJ = KL[/tex]
[tex]KJ = 4x + 9\\KL = 11x - 61\\[/tex]
Since the sides are equal, we can equate the expressions to get the equation:
[tex]4x + 9 = 11x - 61\\11x - 4x = 70\\x = 10[/tex]
[tex]x[/tex] is equal to [tex]10[/tex].
Plug that in [tex]11x - 61[/tex] and you get [tex]110 - 61[/tex] which is [tex]49[/tex]. So, Option B is correct :D
Kelvin rolls a dice twice. The first number he gets is 4. The sum of the two numbers is smaller than 8. Which number CANNOT be the second number?
Answer:
5, 6
Step-by-step explanation:
When Kelvin rolls the dice twice, he can't get more than a 4 because if he did, the sum of the two numbers would be more than a 8. So, the numbers that cannot be the second number is 5 and 6.
If you reflect the coordinates (1,4) across the x-axis what would be the new
coordinates? *
Answer:
(1, -4)
Step-by-step explanation:
Flipping it across the x axis would only change the y value since it would only affect the verticality.
The y value was originally positive so now it just simply becomes negative.
(1, 4) ->(1, -4)
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
40) Start at -2. Add 12. My answer is 10
Did I do that correctly is the answer correct
Yes that is correct
Kugvuykvyukykvuuyvkkyvu
Solve for x I need help ASAP!
Let's solve your equation step-by-step.
2x+9=8x+21
Step 1: Subtract 8x from both sides.
2x+9−8x=8x+21−8x
−6x+9=21
Step 2: Subtract 9 from both sides.
−6x+9−9=21−9
−6x=12
Step 3: Divide both sides by -6.
-6x/-6=12/-6
x=-2
Answer:
-2 = x
Step-by-step explanation:
First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.
Hope this helps! Let me know!
Will give brainlist! I need help
Answer:
A=1/2bh
A=1/2(2)(4)
A=1/2(8)
A=4
Step-by-step explanation:
Area is 4units²
HELPPPP!!!!!
Which of the following describes a solution to the inequality 4x - 2y< 8?
(3, 0)
(4,4)
(-6, 4)
(8,6)
(-2,-4)
Line m contains the points (−3, 2) and (5 , 1). Line n contains the points (2 , 7) and (1, −1) . Which statement is TRUE about lines m and n?
A. The lines are parallel.
B. The lines are coincident.
C. Both lines intersect but are neither parallel nor perpendicular.
D. The lines are perpendicular.
9514 1404 393
Answer:
D. The lines are perpendicular
Step-by-step explanation:
The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.
The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.
Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.
A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling station along a path described by a vector with components LeftAngleBracket 14, 23 RightAngleBracket. After another month, on the same path, the ship reached port B, twice the distance from port A as the fueling station.
What are the characteristics of the vector representing the path of the ship?
components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 7, 11.5 RightAngleBracket, magnitude: 53.85
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 13.46
components:LeftAngleBracket 28, 46 RightAngleBracket, magnitude: 53.85
Answer:
D
Step-by-step explanation:
Edge 2020
Answer:
d
Step-by-step explanation:
How many solutions does the system have?
x + 4y = 6
2x + 8y = 12
Answer:
none :)
Step-by-step explanation:
If l is parallel to m, solve for x and y.
Answer:
Step-by-step explanation:
3x + 49 = 7x - 23
4x = 72
x = 18
11y - 1 = 3(18)
11y = 55
y = 5
The value of x is 18 and y is 5.
What are the properties of parallel lines?Following are the properties of parallel lines,
The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.Given:
<1 = 7y -23
<2 = 11y -1
<3 = 3x
Using corresponding angle
7x - 23 = 3x + 49
4x = 72
x = 18
again, Using corresponding angle
3x = 11y - 1
3(18) = 11y - 1
11y = 55
y= 5
Hence, the value of x is 18 and y is 5.
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please help omg i have a 15 percent in math for my overall grade and i also have bad grades in spanish and ELA but please please just help me if i could get someone’s snap or idk so i could send u photos of my work that would literally be great i also have to get my grade up BY THIS MONDAY HELP
Answer:If you’re doing edge I can give you tips.
Step-by-step explanation:
Answer:
what do u need help with
Step-by-step explanation:
calm down! its gonna be all good
Mr. Jeff has a budget of $150 to spend on music books. The cost of the books is $12. What is the maximum number of books can he buy?
Answer:
He can buy 12 books
Step-by-step explanation:
150 divided by 12 = 12.5 but you can’t have half of a book so round it down and you get 12
Hope this helps!
what is the unit rate of y = -7x
Answer:
try math-way
Step-by-step explanation:
Jennifer is a lifeguard at a swimming pool. She earns $132.54 for 18 hours of working. How much does Jennifer earns per hour.
please answer and explain :)
Answer:
7.36 an hour
Step-by-step explanation:
If she earns that much for 18 h, divide the amount she makes in 18 h by 18 parts because 18h/18 = 1 h. If done properly, you will get $7.36.
-3-(0.5) on a number line
Answer:
-3.5
Step-by-step explanation:
mark on the left side of the number line where -3.5 is.
If the domain for
f (x) = 3x + 2 is
{-2,4,7}
What is the range?
Answer:
{8,14,-19}=R
..................
In which figure is point G a centroid?
a
b
c
d
Answer:
Step-by-step explanation:
You didn't provide us with correct choice
The centroid of a triangle is the point of intersection of its medians.
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.
The figure whose centroid is point G is triangle LMN.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, From the attached image, we have the following highlights
There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves
The lines that pass through point G divides the three sides of triangle LMN into equal halves
The above highlights mean that:
Point G is the centroid of triangle LMN.
Hence, the figure whose centroid is point G is triangle LMN.
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Please help me:(:(:(:(
Answer:
1. 30/14
2. -26.775
3. 0.1668
4. -44/7 which can be simplified into -6 and -2/7
5. $10.96
In a group of 27 pupils, 7 play the flute only.
5 play the piano only.
10 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
Answer:
5/27
Step-by-step explanation:
I wrote it as a fraction, but the explanation is, if you're finding out how many who don't play instruments, you first need to find out who many do play instruments, so you add the numbers together.
10+5+7 = 22
So the probability that you'll pick one who does play an instrument would be 22/27 (because 22 out of the 27 pupils play an instrument.) But remember that's not what it's asking us for.
You have to subtract 27 - 22 to get the pupils who don't play instruments, you get 5, so the probability is 5/27 (5 pupils out of 27 don't play instruments.)
To put this in a percent, just divide the top number by the bottom number and move the decimal 2 places over, you get 18.5% or 19% both answers are correct depending on rounding.
What is the constant of proportionality of the number of calories to the number of minutes?. Single choice.
2 1/2
2 1/2
3/2
Answer:
the 3 one
Step-by-step explanation:
Identify the parent function.
Answer: D) Absolute Value
Step-by-step explanation:
From the graph, we can see that the function is the absolute value.
From the graph, we need to identify the type of parent function.
What is parent function?In mathematics, a parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
From the graph, we can see that the function is the absolute value.
An axis of symmetry of the graph of a function is a vertical line that divides the graph into mirror images. An absolute value graph has one axis of symmetry that passes through the vertex. The absolute value function is defined by f (x) = |x|. This is the absolute value parent function.
Therefore, from the graph, we can see that the function is the absolute value
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At the end of a snow storm, Allison saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 20 inches of snow on the lawn when the storm ended and then it started melting at a rate of 1.25 inches per hour. Write an equation for S , S, in terms of t , t, representing the depth of snow on Allison's lawn, in inches, t t hours after the snow stopped falling.
Answer:
S=20-1.25t
Step-by-step explanation:
I got this answer welcome.
The equation for depth of snow after t hours is, S = 20 - 1.25 t.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
The initial depth of snow = 20 inches,
Rate of melting = 1.25 inches per hour.
After t hours, the snow melt = 1.25 t
The equation of the S in terms of t can be written as,
S= 20 - 1.25 t.
The required equation is S = 20 - 1.25 t.
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A bottle of hand lotion is on sale for $2.25. If this price represents a 50% discount from the original price,what is the original price to the nearest percent?
Step-by-step explanation:
50% is basically half. So if you double the price ($2.25) x 2 you will have your answer.
So the answer is $4.50..!
If f(x) = 2x + 1, what is f(x) when x = 3?
a)1
b)7
c)13
d)19
Answer:
7
Step-by-step explanation:
part B is the correct answer
Answer:
B) 7
Step-by-step explanation:
f(x)=2(3)+1
2(3)=6
6+1=7
A balloon rises vertically from point p on level ground. From point a, on level ground 28ft from point p, the angle of elevation to the balloon is 79\deg . How high is the balloon?
Answer: Balloon is 27.5 ft high.
Step-by-step explanation:
As per the give , we made a diagram (in attachment).
To find the vertical distance from the growth we consider entire triangle as right triangle , where height is making right angle with ground.
in right triangle,
[tex]\sin \theta=\dfrac{Hypoteuse}{height}\\\\\Rightarrow\ \sin 79^{\circ}=\dfrac{28}{height}\\\\\Rightarrow\ 0.98162718344=\dfrac{28}{height}\\\\\Rightarrow\ height = 0.98162718344\times28\\\\\Rightarrow\ height = 0.98162718344\times28\approx27.5[/tex]
hence, balloon is 27.5 ft high.
