Answer:
x = 6 corresponds to the x-intercept (6, 0), and
x = 1 corresponds to the x- intercept (1, 0)
Step-by-step explanation:
Factor y = x^2 – 7x + 6: x^2 – 7x + 6 = (x - 6)(x - 1)
Set each factor = to 0 and solve the resulting equation for x:
x = 6 and x = 1.
x = 6 corresponds to the x-intercept (6, 0), and
x = 1 corresponds to the x- intercept (1, 0)
h(t)=-16t^{2}+100t+10 find the domain and range. please
Answer:
Step-by-step explanation:
The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2). The axis of symmetry is
-b -100
x = --------- = ----------- = 50/16 = 25/8.
2a 2(-16)
The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.
The largest value this function can take on is 166/25. Thus, the range is
(-infinity, 166/25).
Since the given function is a polynomial, the domain consists of all real numbers.
20 points + brainliest, give explanation
Answer:
The answer is 72 degrees Z is also 180 by the way
Step-by-step explanation:
A straight line is 180 so subtract 108 and you will get the angle 72 degrees
Answer:
Step-by-step explanation:
Since Angle BCD is parallel to EDC, it means they both equal 108 degree. So x = 108
the supplementary angle for 108 is 72 degree, which means Angle c = Angle y, so angle y = 72 degrees.
all angles in a triangle = 360, so use the formula to find out what angle z is
360 = 72 + 72 + z
360 = 144 + z
360 - 144 = z
216 = z
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams.
Answer:
The density of the material must be at least 1.5 g/cm³.
Step-by-step explanation:
Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.
Answer:
The answer is given below
Step-by-step explanation:
From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.
The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠BYZ and ∠DZY are interior angles.
∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)
∠BYZ/2 + ∠DZY/2 = 180/2
∠BYZ/2 + ∠DZY/2 = 90°
In ΔOYZ:
∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).
But ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2
∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180
90 + ∠YOZ = 180
∠YOZ = 180 - 90
∠YOZ = 90°
Therefore Angle bisectors of the same side interior angles are perpendicular.
Need help ASAP the numbers are correct I just need to know the other missing numbers
Step-by-step explanation:
1.32:24
32/8:24/8
4:3
2.20:32
20/4:32/4
5:8
3.24:76
24/4:76/4
6:19
4.24:32:20
24/4:32/4:20/4
6:8:5
What are the units for the variable in the following scenario?
Sherry bought 6 apples at 43° per apple. She then bought 4 oranges at 51c
per orange. How much was her grocery bill?
Answer:
Her grocery bill is $4.62
Step-by-step explanation:
The first step is to multiply 6 and .43 to get how much it was for all of the apples.
Then the next step is to do the same thing with the oranges.
Then the last step is to add the two together.
Answer:
$4.62
Step-by-step explanation:
Use the diagram at the right to answer questions 22–27.
Find the measure of each angle.
22. DBC
23. ADC
24. BCD
25. DCE
26. BCF
27. ECF
22. 30 degrees because line DB bisects(meaning cuts in half) angle ABC so DBC should be 30 degrees because 30+30 is 60 which is what angle ABC is.
23. 60 degrees because if we assume that it is a parallelogramand that the opposite angle are congruent.
24. 120 degrees because a quadrilatteral has sides that will equal to 360 degrees, and I said that a parallelogram will have its opposite angles congruent we take away 120 from 360 (from the previous angles ABC and BCD) we end up with 240, we divide 240 by 2 and end up with 120 degrees
25. 60 degrees. I found that angle DCB is 120 degrees so angles DCB and DCE are supplementary(add up to 180 degrees) and we subtract 120 from 180 which is 60 degrees.
26. 60 degrees vertical to angle DCE.
27. 120 degrees supplementary to DCE
Last year, a local amusement park recieved 286, 758 visitors. It was open everyday of the year except 7 holidays. What was the average number of visitors to the park per day? a. 786 visitors b. 801 visitors c. 957 visitors d. 1,204 visitors Please include the work!
Answer:
c
Step-by-step explanation:
i took this test yesterday
i promise its right
Answer:
B
Step-by-step explanation:
Last year local amusement park received 286758 visitors.
Park was open for every day except 7 holidays means park was open for (365 - 7) = 358 days
Now average numbers of visitors per day =
=
= 801
which order pair comes from the table?
Answer:
(6,5)
Step-by-step explanation:
The ordered pair is ( x,y)
The ordered pairs in the table are
(3,4) (4,4) (5,2) and (6,5)
first answer gets brainliest
Answer:
n = 7*m
Step-by-step explanation:
divide n by m and you will get the same value
21/3 = 7 35/5= 756/8 = 7so : n= 7*m
You can buy shampoo in a 6 oz bottle for 2.79 or in a 14 oz bottle for 10.89
Answer:
Step-by-step explanation:
Find and compare the unit costs of the two different bottle sizes.
First:
$2.79/(6 oz) = $0.465/oz
Second:
$10.89/(14 oz) = $0.778/oz
Clearly, the larger (14 oz) bottle is a much better buy
Answer: 14oz bottle for 10.89
Step-by-step explanation:
Did it before
25. Simplify the following expression.
Question 25 please
I hope this helps you
Answer:
3 -√5
Step-by-step explanation:
(√5 + 1) / (2 + √5)
Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is 2 - √5.
By doing this we rationalise the denominator:
= (√5 + 1 ) * ( 2 - √5) / (2 + √5)(2 - √5)
= (√5 + 1 ) * ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)
= (2√5 - 5 + 2 - √5) / (4 - 5)
= (√5 - 3) / -1
= 3 -√5
Which statement could the expression n+ 1 represent?
A.one point greater than the last test grade
B.the difference of Gina's score and one
C.the total cost less one dollar
D.One minute less than Mickey's previous time
Answer:
A. One point greater than the last test grade.
Step-by-step explanation:
One point greater than the last test grade can be written as an expression:
n + 1
The difference of Gina’s score and one can be written as an expression:
n - 1
The total cost less one dollar can be written as an expression:
n - 1
One minute less than Mickey’s previous time can be written as an expression:
n - 1
Answer:
A
Step-by-step explanation:
did the quiz
The question, “How many ways can 4 different students be selected in order from a class of 30 students?”, is a(n) _____. permutation mutually exclusive event combination independent event
Answer:
permutation
Step-by-step explanation:
The permutation refers to the arrangement of a people, person, number, colors, alphabets or any other thing
While on the other hand the combination refers to the selection or choosing a particular thing like - clothing, menu, subjects, etc
But in the given question it asks for the number of ways can different students be selected so its a case of permutation and the same is to be considered
The tabletop below is made from right triangles, each the same size. Your company charges $0.20 per square inch for sanding the tabletop. Which of the following is closest to the tabletop’s area, in square inches? 550 950 2,800 3,950 5,600
Answer:
correct answer is 2800.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
Answer:
Step-by-step explanation:
550
What's the answerrrrr?
Answer:
A. Positive
Step-by-step explanation:
Since 48 is way larger than 39, we know that if we subtract 39 from 48, we will still get a positive number.
Answer:
A. Positive
Step-by-step explanation:
Im not very good at explaining. I hope I helped :)
Please help! Which of the following values in the set below will make the equation 2x + 1 = 3 true? (Only input the number.) {0, 1, 2, 3, 4} (5 points)
Answer: The value of x = 1.
Step-by-step explanation: I only inputted the answer as you said. Hope this helps!
Answer:
1
Step-by-step explanation:
(2x1) +1 = 3
x=1
If } (x) = 8x and g(x) = 2x+1, find (fºg)(x).
Answer: 16x+8
Step-by-step explanation:
(fоg)(x) is f of g(x). This means you plug in g(x) into f(x). Since we are given f(x) and g(x), we can directly plug in g(x) into x.
(fоg)(x)=8(2x+1) [distribute 8]
(fоg)(x)=16x+8
Answer:
16x + 8 = (fºg)(x).
Step-by-step explanation:
If f(x) = 8x and g(x) = 2x+1, find (fºg)(x).
This is a composite function. To form it properly, substitute g(x) = 2x + 1 for x in f(x) = 8x. We get:
8(2x + 1)(x), or 16x + 8 = (fºg)(x).
Which of the following systems of equations is an example of one where substitution is the best method?
Answer:
The answer is option D.
I hope this helps.
Answer:
y = 2/7x +11
3x-4y = -24
Step-by-step explanation:
We would want to use substitute on the last set of equations since the first equation is already solved for y. It is easy to substitute for y in the second equation
Multiply polynomials by polynomials
(a+3)(a-2)
Answer:
a^2+a-6
Step-by-step explanation:
(a+3)(a-2)
a^2-2a+3a-6
a^2+a-6
Hope this helps ;) ❤❤❤
Answer:
[tex] {a}^{2} + a - 6[/tex]Step-by-step explanation:
[tex](a + 3)(a - 2)[/tex]
Multiply the second parentheses by each term from the first parentheses
[tex] = a(a - 2) + 3(a - 2)[/tex]
Distribute ' a ' through the parentheses
[tex] = {a}^{2} - 2a + 3(a - 2)[/tex]
Distribute 3 through the parentheses
[tex] = {a}^{2} - 2a + 3a - 6[/tex]
Collect like terms
[tex] = {a}^{2} + a - 6[/tex]
Hope this helps..
Best regards!!
PLSSSS HELPPP>> Show work solve the sysytem- y=1/2x^2+4x+4 y=-4x+12 1/2
Answer:
The solution is (-17,80.5) and (1,8.5)
Step-by-step explanation:
Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]
Equation 2: [tex]y = -4x+12.5[/tex]
Substitute the value of y from equation 2 in equation 1
Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]
After substitution :
[tex]-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2[/tex]
Substitute the value of x = -17
y = -4x+12.5
y = -4(-17)+12.5
y=80.5
Substitute the value of x = 1
y = -4(1)+12.5
y=8.5
Hence the solution is (-17,80.5) and (1,8.5)
Select all that apply.
Describe the transformations.
(Look at image!)
The yellow circle was translated left 2 units and up 2 units.
The yellow circle was reflected over both axes.
The yellow circle was reflected over the y-axis and translated up 2 units.
The yellow circle was reflected over the x-axis and translated left 2 units.
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
Two circles (yellow and blue) with their centers as (1, -1) and (-1, 1) have been given in picture.
Now we will check each option for the transformations of these points.
Option (1)
The yellow circle was translated left by 2 units and up by 2 units.
Then rule for translation will be,
(x, y) → [(x - 2), (y + 2)]
Following this rule (1, -1) will become,
(1, -1) → [(1 - 2), (-1 + 2)]
→ (-1, 1)
But the center of blue circle after translation is (-1, 1),
Therefore, this option will be the answer.
Option (2)
The yellow circle was reflected over both axis.
If (1, -1) is reflected over x-axis,
Rule to be followed,
(x, y) → (x, -y)
Followed by reflection over the y-axis,
rule for the reflection,
(a, b) → (-a, b)
By this rule, (x, -y) will become,
(x, -y) → (-x, -y)
By these transformations (1, -1) will become
(1, -1) → ( -1, 1)
By these transformations image of yellow circle is the blue circle.
Option (2) is the answer.
Option (3)
The yellow circle was reflected over the y-axis and translated up by 2 units.
Rule for reflection over y-axis,
(x, y) → (-x, y)
followed by the translation 2 units up,
(-x, y) → (-x, y+2)
By these transformations,
(1, -1) → (-1, 1)
Therefore, option (3) is the correct option.
Option (4)
The yellow circle was reflected over the x-axis and translated left 2 units
Rule for reflection over x-axis,
(x, y) → (x, -y)
Followed up by the translation of 2 units left.
(x, -y) → (x - 2, -y)
By this rule point (1, -1) will become,
(1, -1) → [(1 - 2), -(-1)]
→ (-1, 1)
Which is the center of blue of circle.
Therefore, Option (4) will be the answer.
All given options are correct.
Answer:
All of the above
Step-by-step explanation:
I know my math straight and I have this answer
Use the vertical line test to determine if the graphed relation is a function
Yes. One output results in one input.
O No. At least one input results in two outputs.
Yes. One input results in one output.
No. At least one output results in two inputs.
Answer:
The given graph is a function because
One input result in one output.
Step-by-step explanation:
Vertical line test is a test used for testing whether a graphed relation is a function or not. In a vertical line test, multiple vertical lines can be drawn at any point of the function. If the vertical lines intersect the graph only at one point, it means the there is only one value of y for a value of x, therefore the given relation is a function. If the vertical lines interest the graph at 2 or more locations, the given relation is not a function.
Christina's family is building a house. On the blueprint, Christina's rectangular room measures 10cm by 12cm. The map has a scale of 1 cm=1.5 ft. What is the actual area of Christina's room?
Answer:
270 ft square
Step-by-step explanation:
10cm * 1.5ft = 15 ft
12cm * 1.5ft = 18ft
18ft * 15ft = 270ft square
Answer:
270 sq ft
Step-by-step explanation:
The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t 2 + 64t, where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground? It will take _____ seconds for the ball to hit the ground.
Answer:
4 seconds.
Step-by-step explanation:
The given equation is
[tex]h=-16t^2+64t[/tex]
where, h is height in feet of a golf ball above the ground after being hit into the air and t is the number of seconds elapsed since the ball was hit.
We need to find the time for the ball to hit the ground.
At ground level the height of ball is 0, i.e., h=0.
[tex]-16t^2+64t=0[/tex]
[tex]-16t(t-4)=0[/tex]
Using zero product property, we get
[tex]-16t=0\Rightarrow t=0[/tex]
[tex]t-4=0\Rightarrow t=4[/tex]
Therefore, it will take 4 seconds for the ball to hit the ground.
Answer:
4 seconds
That's your answer!!
When solving the following system of equations, which variable would be the easiest to solve for?
Answer:
the y is the second equation.Answer:
The y in the second equation
Step-by-step explanation:
hope this helps
help will give brainliest
Answer:
Quadrant One
Step-by-step explanation:
Quadrant one has both positive numbers on the x, and y axis.
(6,8) is in quadrant 1
PLLLEASEEEEE!!!!!
Find the value of v and w.
Answer:
v=20, w=80
Step-by-step explanation:
First, we can find v by determining that angle 5v and angle 4v and supplementary to each other. This means that their sum adds up to 180 degrees.
5v + 4v=180
9v=180
v=20
We also know 4v is equivalent to w.
4(20)=w
w=80
Answer:
Step-by-step explanation:
5v + 4v = 180 {co-interior angles}
9v = 180
v = 180/9
v = 20
Angles opposite to equal sides are equal.
So, w = 4v
w = 4*20
w = 80
URGENT!! The difference between the roots of the quadratic equation x2−12x+q=0 is 2. Find q
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. find the third integer. please show work
Answer:
The third integer is 27
Step-by-step explanation:
Given
Represent the consecutive odd numbers with [tex]T_1, T_2; and\ T_3[/tex]
Since they are consecutive odds, then
[tex]T_2 = 2 + T_1[/tex]
[tex]T_3 = 2 + T_2[/tex]
From the first statement in the question, we have that
[tex]T_1 + T_3 = 5 T_2 - 75[/tex]
Required
Find the third integer
Recall that
Substitute [tex]T_2 = 2 + T_1[/tex] in [tex]T_3 = 2 + T_2[/tex]
[tex]T_3 = 2 + 2 + T_1[/tex]
[tex]T_3 = 4 + T_1[/tex]
Substitute [tex]T_3 = 4 + T_1[/tex] and [tex]T_2 = 2 + T_1[/tex] in [tex]T_1 + T_3 = 5 T_2 - 75[/tex]
[tex]T_1 + 4 + T_1 = 5(2 + T_1) - 75[/tex]
Open Brackets
[tex]T_1 + 4 + T_1 = 10 + 5T_1 - 75[/tex]
Collect like terms
[tex]T_1 + T_1 + 4 = 5T_1 - 75 + 10[/tex]
[tex]2T_1 + 4 = 5T_1 - 65[/tex]
Collect like terms
[tex]2T_1 - 5T_1 = - 65 - 4[/tex]
[tex]-3T_1 = - 69[/tex]
Divide both sides by -3
[tex]\frac{-3T_1}{-3} = \frac{- 69}{-3}[/tex]
[tex]T_1 = 23[/tex]
Recall that [tex]T_3 = 4 + T_1[/tex]
[tex]T_3 = 4 + 23[/tex]
[tex]T_3 = 27[/tex]
The third integer is 27