Answer:
The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.
Step-by-step explanation:
Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.
If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:
[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]
Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.
[tex](x+5)=0\\x = -5[/tex]
[tex](x-7)=0\\x = 7[/tex]
Now, if we see the quadratic equation or the function it is written as,
[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]
Therefore, the value of y is 0.
Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).
Learn more about Quadratic Equation:
https://brainly.com/question/2263981
Write an equation in standard form for the line that has slope 1/3 and passes
through (-2, 8)
Answer:
-x + 3y = 26Step-by-step explanation:
The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:
y - y₁ = m(x - x₁)
m = ¹/₃
(-2, 8) ⇒ x₁ = -2, y₁ = 8
Therefore, the equation of the line which passes through (-2, 8) and with slope of 1/3 in point-slope form:
y - 8 = ¹/₃(x - (-2))
y - 8 = ¹/₃x + ²/₃ {multiply both sides by 3}
3y - 24 = x + 2 {subtract x from both sides}
-x + 3y - 24 = 2 {add 24 to both sides}
-x + 3y = 26
5.solve for x 6. solve for x
Answer:
x=10 , x=13
Steps:
5.
4x+5x=180-90
9x=90
x=90/9
x=10
6.
(3x+7)+(2x+3)=180-105
5x+10=75
5x=65
x=65/5
x=13
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]
[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]
⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]
⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]
----------------------------------------------------------
✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]
[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]
⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]
⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]
⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]
Hope I helped ! ✧
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer!
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Hand Sanitizer question
Answer:
the first one
Step-by-step explanation:
Mason is laying tiles on his entryway. The tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long. How many tiles will Mason need to buy in order to cover the length of the entryway? Explain.
Answer:
1 2/3
Step-by-step explanation:
7 1/2x2/9
The required number of tiles will be 34 covering the length of the entryway.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
We have been given that the tiles are each 2/9 feet long, and the entryway is 7 1/2 feet long.
We have to determine the number of tiles will he need to buy in order to cover the length of the entryway.
According to the given question, the required solution would be as:
So the number of tiles covering the length of the entryway will be
⇒ 7 1/2 ÷ (2/9)
⇒ 15/2 ÷ (2/9)
⇒ 15/2 / (2/9)
Reciprocal the term in the denominator
⇒ (15/2) x (9/2)
Apply the multiplication operation,
⇒ 135/4
Apply the division operation,
⇒ 34
Thus, the required number of tiles will be 34 covering the length of the entryway.
Learn more about Multiplication operations here:
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#SPJ5
Im new to this tysm though if you help!:)
Answer:
60
Step-by-step explanation:
-12 * -5 = 60
Answer:
60
Step-by-step explanation:
Hey!
When you multiply a negative by a negative you get a positive, because the two negative signs are cancelled out.
So -12(-5) is equivalent to 12(5) which is 60.
Hope I helped, Feel free to ask any questions if you need me to clarify!
Have a nice day!
-Aadi x
what is the answer??? Please help me!
16% of 40 =
Answer:
16/100*40
32/2
lol so simple
gg
PLEEEEEEASE HELPPPPPP
Answer:
Row 1
Step-by-step explanation:
If you divide the number of oranges in each row by their number of boxes, you always get 13 oranges per box.
(156/12 = 13)
(130/10 = 13)
(91/7 = 13)
(65/5 = 13)
But, in Row 1, he made a mistake: 13/2 = 6.5 The mistake here is that Row 1's "number of boxes" should be 1, not 2, to make this eqation true. If we did this, then we will get 13 as our "number of oranges" instead of 6.5, becuase the equation will now be 13/1 = 13 and his table will be correct.
Row 1 has the mistake.
sketch graphs of these three quadratic relations on the same set of axes.
a) y=x^2 + 8
b) y= x^2 - 5
c) y= x^2 - 10
PLS NEED HELP DON'T UNDERSTAND ONE PART
Answer:
Step-by-step explanation:
Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees
Answer = 1800 degrees
Hope that helps!
Answer: .
Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.
Help ASAP please.due in a few minutes.
Answer:
Rumble charters
Step-by-step explanation:
OK bus line:
55 +3.50(25)
55+87.5
=142.50
Rumble charters:
75+2.25(25)
75+56.25
=131.25
From looking at the steps we could tell that Rumble charters bus line would be cheaper.
its the second one
Step-by-step explanation:
1. 3.50×25+55=142.5
2. 2.25×25+75=131.25
This equation shows how the cost of a photography session is related to its duration in hours.
c = 20d
The variable d represents the duration of the session in hours, and the variable c represents the cost. What is the duration, in hours, of a photography session that costs $20?
Answer:
1 hour
Step-by-step explanation:
c= 20d
here, c=$20
$20=20d
or, d= 1 hr
TOURS The table shows the activities of two visitors at a park. You want to take the boat tour for 2 hours and the walking tour for 3 hours. Can you determine how much you will pay? Explain.
Answer:
Step-by-step explanation:
The measure of angle 1 is 39º. What is the measure of the angle
adjacent to angle 1? Explain.
Answer:
[tex]180 - 39 = 141[/tex]
141° is the answer
Rectangle A'B'C'D' is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
Pythagorean Theorem Word Problems Mazel
On the grid below, draw the graph of y = 2 - 3x for the values of x from - 3 to 3
Step-by-step explanation:
slop -3
(x ,y) point that throgh the x,y axis
(0,2), (1,-1), (2, -4),( -1, 5), ( -2, 8) etc you can make the graph by connect the co ordinat point
23. What is the value of x?
Answer:
9
Step-by-step explanation:
If PQ || to BC
Then by BASIC PROPORTIONALITY THEOREM:
[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]
how to slove
y=15x+12
Answer:
0
Step-by-step explanation:
Find the perimeter of the given figure, help please!
Answer:
22.5 cm
Step-by-step explanation:
P=2(6.75)+2(4.5)
P=13.5+9
The lines represented by the equations y = –2 – 9 and y – = 2 are
Answer:
i dont know if its a typo but here
Step-by-step explanation:
1. Michael and 6 friends went to the movies. There, they each bought movie tickets and a bag of popcorn to share among them all. Michael used the expression 7t + 4.50 to find the total cost. a) What is the variable and what does it represent in the expression? Explain.
Answer:
The variable is t
t represent the cost of movie tickets
Step-by-step explanation:
Given:
Total cost = 7t + 4.50
The variable is t
Michael + 6 friends = 7 people
4.50 represent the cost of popcorn
t represent the cost of movie tickets
For instance,
If the cost of a movie tickets is $2
Then,
t = 2
Total cost = 7t + 4.50
= 7(2) + 4.50
= 14 + 4.50
= 18.50
Total cost = $18.50
NEEED HELP PLEASEEEEE
Write a rate that represents the situation:
One possible rate is ( ) week(s) for ( ) every day(s).
Answer:
10/10
Step-by-step explanation:
Ez..........................................................
Help!! I have 55 seconds to do this
Answer:
the answer is A
Step-by-step explanation:
78 is acute angle because it is less than 90 degrees. A is an acute angle so thats the answer
Jayden buys stickers for $2 each and marks up the price by 55%. How much profit does Jayden make from each sticker sold?
Answer:
$1.1 profit
Step-by-step explanation:
100% plus 55% profit = 1.55
2 x 1.55 =3.1
3.1-2=1.1
If £30 is split between two people in
the ratio 3:2, what does each get?
Answer:
15 pounds because 30/2 is 15
Help right answer get brainliest
Answer:
all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer
Answer:
6. 2 2/5
7. 66/145
8. 1 1/5
Step-by-step explanation:
Please help me with this
Answer:the answer would also be 20 degrees
Step-by-step explanation:
because its exaclty across from the angle!!!!!
Answer:
20 degrees
Step-by-step explanation
they are opposite angles
Can someone please answer my question for real please. I’ll give extra points
Question:
In triangle FGH, the measure of angle H = 90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of angle G?
___________________________________________________
Solution:
The triangle FGH should look like that in the attachment.
Tangent of angle G = opposite side/adjacent side
= FH/HG
= 55/48
Please help me find the answer ASAP
Answer:C Because there the same sides
Which equation has a slope of 3?
y=3y is equal to 3
y=3−xy is equal to 3 minus x
y=3x−1y is equal to 3 x minus 1
y=x+3
Answer:
the third one
Step-by-step explanation:
slope intercept form is y = mx + b
where m = slope
for the third one m = 3
therefore the third one is the correct answer