The equation it has solutions of –5 and 7 is x^2-2x-37=0
We have equation
solutions of equation are –5 and 7.
We have to find complete the equation.
We have given that solutions of the equation are -5, 7.
The standard form of a quadratic equation.
What is the factor of the quadratic equation?
[tex](x -\alpha) (x- \beta)[/tex]
Where we have
[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]
So, roots are
[tex]( x- (-5)) (x-7)[/tex]
[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]
[tex]p = -2 and q = -35.[/tex]
On substituting p and q in equation
[tex]x^2+(-2)x-37=0[/tex]
[tex]x^2-2x-37=0[/tex]
Therefore,x^2-2x-37=0 is the equation of solution -5,7.
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Answer:
-2, -35
Step-by-step explanation:
39 The table shows a linear relationship between x and y.
X
y
96
-20
60
-12
-6
33
-2
15
What is the rate of change of y with respect to x?
А
9
2
을
B
2
9
.
с
2
9
IN
9
2
Answer:
For B it is A92B but for a
Step-by-step explanation:
I got it right on my test!
III NNNNEEEEEEED HHHEEEEEEELLLLLPPPPP!
Answer:
27 units
Step-by-step explanation:
To find the volume you do length x width x height. 3 x 3 x 3 is 27.
What is 2736÷61 step-by-step
Answer: 44.85 in decimal and 44 Rem 52
Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal
Help me please! Brainliest?
Answer:
D. Neither A not B is true.
Step-by-step explanation:
The solutions of the equations are none among the given answers..So, it's neither a not b.
You have marked the right option:D
Hope it helps:)
Find the slope of the line passes through the points (2, 5) and (9, 8).
A. 1/7
B.2/7
C. 3/7
D.8/7
Step by Step Explanation:
Given:line passing through points (2,5) and (9,8)To find: Slope of the lineSolution:-
Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-
[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]
where,
x₁ = 2
x₂ = 9
y₁ = 5
y₂ = 8
Therefore putting the values , we get
[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]
Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.
175 miles in 4 hours in unit rate pls help me
What is the probability of picking a 5 and then picking a 2
Answer:
I cannot answer this question because it is not complete. Please use complete sentences and questions.
A bodybuilder gains 1.5 pounds each week for 5 weeks. Which equation represents the change in the bodybuilder's weight after the 5 weeks?
Answer:
Step-by-step explanation:
The bodybuilder gains 1.5 each week for 5 weeks.
If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?
1.5 * 5 = 7.5
Cindy puts two different-sized weights on a scale. One size weighs 2 ounces and the other size weighs 5 ounces. All of the weights on the scale
weigh 50 ounces combined.
Create an equation to model a possible number of 2-ounceweights, x, and 5-ounce weights, y, that are on the scale
Answer: 2x+5y=50
Step-by-step explanation:
x=number of 2-ounce weights
y=number of 5-ounce weights
Because of this you will write the total weight (50) is equal to __. On the other end you will multiply the possible number of 2-ounce weights to 2 because this will give you the weight for the 2 ounce. The same is done for the 5-ounce weights. Once you combine both of them you would get the total weight. Which is why 2x+5y=50 is the answer.
Round 3, 295.351 to the nearest tenth.
3, 295.35
3, 295.3
3, 300
0 3,295.4
Answer:
3,295.4
Step-by-step explanation:
to the nearest tenth is 3,295.4
Find the value of x in the triangle shown below.
O
C =
3.5
4
xº
55°
3.5
Answer:
okay so the answer is 70°
Step-by-step explanation:
the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right
[tex]55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees[/tex]
What is the exact decimal equivalent of 7 half’s 12
The decimal equivalent of 7 half’s is the number in decimal form
The exact decimal equivalent of 7 half’s is 3.5
What is a decimal number?A decimal number is a number represented by an integer and a fractional part
How to determine the decimal equivalant?The number is given as:
7 halves
Express as product
7 * 1/2
Evaluate the product
3.5
Hence, the exact decimal equivalent of 7 half’s is 3.5
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A square has a side length of 22 meters.
What is the area of this square
Answer:
484 meters squared
Step-by-step explanation:
Area is Length times Width.
You're dealing with a square meaning all sides are equal.
You simply need to do 22m x 22m = 484m squared
Lucas owns a car dealership in Brazil that is having a big sale for the next 3 days. Lucas's car dealership will
lose revenue if it rains because potential customers will stay at home. There is a 50% chance of rain each
of the next 3 days independent of the other days. The table below shows Lucas's potential revenue for his dealership's big sale depending on how many days it rains. What is Lucas's car dealerships' expected revenue over the next 3 days?
Lucas's car dealerships' expected revenue over the next 3 days is $6800
How to determine the expected revenue?The expected revenue is calculated using the following formula of expected value
[tex]E(x) = \sum x * P(x)[/tex]
The data elements on the table are represented as:
Days Revenue
0 3000
1 1800
2 1300
3 800
So, we have:
E(x) = 0 * 3000 + 1 * 1800 + 2 * 1300 + 3 * 800
Evaluate the sum of the products
E(x) = 6800
Hence, Lucas's expected revenue is $6800
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How do geometric functions differ from algebraic functions?
Answer:
Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.
The marked price of a car is $49,500. A person can pay deposit of 30%
and interest at 12% per annum is charged on the outstanding balance.
The total amount payable is to be paid in 2 1/2 years. A) the amount of
each monthly installment b) The hire purchase of the car
The amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.
Monthly installementa. Monthly installment
2 1/2 years=30 months
First step
Amount payable=[49,500×(1-.30)] /30 months
Amount payable=(49,500×.70)/30 months
Amount payable=$34,650/30 months
Amount payable=$1,155
Second step
Amount of monthly installment=[$1,155×(1+0.12)
Amount of monthly installment=$1,155×1.12
Amount of monthly installment=$1,293.6
Amount of monthly installment=$1,294 (Approximately)
b. Hire purchase
Hire purchase=$1,155×.12×30 months
Hire purchase=$4,158
Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car is: $4,158.
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Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 = 0 x2 3x 12 = 0 x2 3x 3 = 0 2x2 6x 3 = 0
The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
We know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The solutions are given below.
[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]
Then
1) 2x² + 6x + 9 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]
2) x² + 3x + 12 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]
3) x² + 3x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]
4) 2x² + 6x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]
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What is TU???? 24 points
Answer:
4
Step-by-step explanation:
Here we know that T is the midpoint of SU.
Therefore, we know ST and TU are equal.
Setting their values equal, we get:
x+3 = 4x
Then we isolate x by subracting x from both sides:
3=3x
Finally we divide by 3:
1=x
Now we can solve for TU:
4x= 4(1) = 4
Find the area of the parallelogram, I will give brainliest
15cm 8cm
[?] square centimeters
Answer:
120 cm^2
Step-by-step explanation:
15*8; You can basiclly move the left edge to fill in the right part and it will become a normal rectangle. Then you can just do lenght*width
Answer:
120 Square centimeters
Step-by-step explanation:
A = bh = 15×8 = 120
1. Solve x2+ 3x – 4 = 0
2. Solve 2x2 – 4x – 3 = 0
3. Solve x(x – 2) = 4
4. Solve 9x2+ 12x + 4 = 0
5. Solve x
2+ 2x = 1
WILL GIVE BRAINLIEST
Answer:
The answer is given in the picture
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.
What is the probability that the care selected will be a hockey card?
A. 1/9
B. 1/8
C. 1/4
D. 1/3
Answer:
A. 1/9
Step-by-step explanation:
In order to find probability, you need to add up the total number of cards Dana has.
14 + 10 + 8 + 4 = 36
Then set up a fraction representing probability.
4 hockey cards
---------------------
36 total cards
Simplify
1
---
9
This means that Dana has a 1 out of 9 chance of getting a hockey card.
☆anvipatel77☆
•Expert•
Brainly Community Contributor
How is adding and
subtrading decimas
Similar tooro different
from adding and subtrocling
whole numbers
Charlie cell phone cost $50 each month plus $0. 05 per text message. His budget is no more than $75 a month. How many text can be send?
Answer:
500
Step-by-step explanation:
let's say charlie sends x messages per month
he spends $50 + 0.05 for each x (message), which comes out to less than or equal to $75.
as an equation, this is
50 + 0.05 x ≤ 75
subtract both sides by 50 to isolate the variable and its coefficient
0.05 x ≤ 25
multiply both sides by 1/0.05 to isolate x
x ≤ 500
the maximum is therefore x = 500 messages
the histogram shows the number of minutes that users waited to register for classes on a university's online system. how many users are represented on the histogram
5 red, 4 yellow, 9 blue, 2 pink, 4 purple
5 + 4 + 9 + 2 + 4 = 24 people
Calculate persons of each color
Red=5Yellow=4Blue=9Pink=2Purple=4Total:&
5+4+9+2+4=24
Find the domain of the rational function below.
f(x)=(x+2)(x-1)/(x-3)(x+2)
Answer:
Domain: { x ∈ R | x ≠ -2, 3 }
Step-by-step explanation:
[tex]f(x)=\dfrac{(x+2)(x-1)}{(x-3)(x+2)}[/tex]
The domain (x-values) of a rational function is all real numbers of x with the exception of those for which the denominator is 0. Therefore, to find the values of x that need to be excluded from the domain, equate the denominator to zero and solve for x.
The denominator for the given function is [tex](x - 3)(x + 2)[/tex]
[tex]\implies (x - 3)(x + 2)=0[/tex]
[tex]\implies (x - 3)=0\implies x=3[/tex]
[tex]\implies (x + 2)=0 \implies x=-2[/tex]
There will be a hole at x = -2 and an asymptote at x = 3.
So the values of x that need to be excluded from the domain are:
x = 3 and x = -2
Therefore, the domain of the given rational function is: { x ∈ R | x ≠ -2, 3 }
If two angles are complementary and one of the angles measures 27°, what does the other angle measure?
73°
153°
63°
27°
Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right? 3 and 6 2 and 9 6 and 3 9 and 2
The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.
What is a factor of polynomial?The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
Juanita begins to factor an expression as shown.
[tex]x^2+ 3x-18=(x+ \;\;)(x-\;\;)[/tex]
To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,
[tex]x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)[/tex]
Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.
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i need help with algebra need asap
lesson 10.2 area of composite figures worksheet assigment
The composite figure includes a rectangle and trapezoid
The area of the composite figure is 810.5cm².
How to determine the area?From the complete question, we have the following parameters:
Shapes: Rectangle and trapezoid
The area of the rectangle is:
Area = Length × Width
So, we have:
Area = 15 × 23
Area = 345cm²
The area of the trapezium
Area = 0.5 × (a + b) ×h
So, we have:
Area = 0.5 × (15 + 34) × 19
Area = 0.5 × 49 × 19
Area = 465.5cm²
Add both areas to calculate the area of the composite figure
Total area = 345cm² + 465.5cm²
Total area = 810.5cm²
Hence, the area of the composite figure is 810.5cm².
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Jody has already hiked 4 kilometers. The trail is 12 kilometers long. She can hike 2.5 kilometers per hour. Which function will help Jody will help figure out how many more hour, h, she needs to hike?
Answer:
2.5h + 4 = 12 is your equation
2.5h = 12 - 4
2.5h = 8
h = 8 / 2.5
h = 3.2 hrs
Step-by-step explanation:
Answer:
2.5h + 4 = 12 is your equation
2.5h = 12 - 4
2.5h = 8
h = 8 / 2.5
h = 3.2 hrs