Answer:
Step-by-step explanation:
Use the quadratic formula
=
−
±
2
−
4
√
2
x
=
−
b
±
b
2
−
4
a
c
2
a
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
2
+
−
6
=
0
2
x
2
+
x
−
6
=
0
2x2+x−6=0
=
2
a
=
2
a=2
=
1
b
=
1
b=1
=
−
6
c
=
−
6
c=−6
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
√
2
⋅
2
x
=
−
1
±
1
2
−
4
⋅
2
(
−
6
)
2
⋅
2
x=2⋅2−1±12−4⋅2(−6)
Answer:
x = - 2, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
2x² + x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 6 = - 12 and sum = + 1
The factors are + 4 and - 3
Use these factors to split the x- term
2x² + 4x - 3x - 6 = 0 ( factor the firs/second and third/fourth terms )
2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(2x - 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
PLEASE HELP AND ANSWER FAST!!! :( Della has $575.38 in her checking account. What is the balance after she makes a deposit of $50.00 and a withdrawal of $85.45?
A. $539.93
B.558.45
C. 561.63
D.603.73
Answer:
A. $539.93
Step-by-step explanation:
Calculator
Answer:
a. 539.93
Step-by-step explanation:
UsaTestPrep Im smart
Write an equation for a line that is perpendicular to y = 2x + 7.
Answer:
y = -[tex]\frac{1}{2}[/tex]x + 5
Step-by-step explanation:
A perpendicular line is the negative reciprocal of the original, it doesn't matter what the y intercept is.
6) Which number is an irrational number?
a. 5.499
c. -V9
b. 717
d. -10
a
b
d
The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer:
10 is the answer. 1:50 is 10:500 simplified
Step-by-step explanation:
500÷50=10.
Caleb paid $4.50 for 12 bagels. Which of the following have a unit price for bagels that is greater than the unit price Caleb pald? Select all that
apply
A) $2.25 for 6 bagols
B) $13.50 for 10 bagels
c) $3.30 for 6 bagols
D) $5.00 for 12 bagets
E) $8.10 for 18 bagels
Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
unit price of something is price of 1 thing.
LEts suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
Given that Caleb paid $4.50 for 12 bagels.
Unit price = 4.50 / 12 = 0.375
A) $2.25 for 6 bagols
Unit price = 2.25 / 6 = 0.375
B) $13.50 for 10 bagels
Unit price = 13.50 / 10= 1.35
c) $3.30 for 6 bagols
Unit price = 3.30 / 6 = 0.55
D) $5.00 for 12 bagets
Unit price = 5.00 / 12 = 0.41
E) $8.10 for 18 bagels
Unit price = 8.10 / 18 = 0.45
Hence, Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
Learn more about unit price here:
https://brainly.com/question/945712
#SPJ2
Between which two integers can the square root of 37 be found?
Answer:
37 lies between two perfect squares, 36 and 49.
Step-by-step explanation:
Answer:
18 and 19
Step-by-step explanation:
2n= 37-1
n= 36/2 = 18 :)
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary. A.) $11.14. B.) 12.54 C.) 13.19 D.) 13.73
Answer:
B 12.54
Step-by-step explanation:
10.99 times 0.15 equals 1.55
10.99 + 1.55 = 12.54
Answer:
$10.99 + 15% = $12.63
Step-by-step explanation:
Which description could be written as a linear function?
a) eight more than twice a number
b) three more than the product of two numbers
c) ten more than the square of a number
d) nine more than one divided by a number
Question:
Which description could be written as a linear function?
Answer:
Option a)
Explanation:
Let 2 numbers be x1 and x2.
For the first option:
Eight more than twice a number.
The graph would be y = 8 + 2x1 which is a linear function.
For the second option:
Three more than the product of two numbers.
The graph would be y = 3 + x1x2 which is a graph function.
For the third option:
Ten more than the square of a number.
The graph would be y = 9 + (x1)² which is a graph function.
For the fourth option:
Nine more than one divided by a number.
The graph would be y = 9 + 1/x1 which is a double-parabole function.
Hopefully this answer will help you.
Answer: option a
Step-by-step explanation:
Just took the test
what is 86,503 written in expanded form
Answer:
80,000+6,000+500+3
Step-by-step explanation:
Decode it
Answer:
eighty- six thousand five-hundred and three
Step-by-step explanation:
Sam has $40. He buys a book for $12.99 and a puzzle for $15.49.
Which equations can be used to find how much money Sam has left?
Choose all that apply
Answer:
11.52
Step-by-step explanation:
$12.99 + $15.49 - $40 = 11.52
The product of x and three is negative-27. What is x?
Answer:
The count of variables 5 (d,f,i,n,x) is different from the number of equations 1.
Step-by-step explanation:
How add integres with differents sings
To add integers with different signs, subtract the lesser absolute value from the greater absolute value. Use the sign of the integer with the greater absolute value for the sum. The following steps will be useful to find the sum of two numbers with different signs.
(-) + (-) = (-)
(-) - (-) = solve the equation like (-) + (+)
(+) + (+) = (+)
(+) - (+) = (+) or (-)
(+) + (-) = solve the equation like (+) - (+)
(+) - (-) = solve the equation like (+) + (+)
(-) + (+) = (+) or (-)
i think i covered them but tell me if i missed sum.
which statement best describes the geologic features?
Answer:
what are the options
Step-by-step explanation:
geologic features can occur anywhere on earth, these features are formed by the movements of earth's plates.
My number is even.
It is a factor of 198 and a multiple of 9.
It is less than 100.
What is my number?
Answer:
18
Step-by-step explanation:
Look at all factors of 9 that are even; 18, 36, 54, 72, 90
Next divide 198 by those numbers and the only whole number is from 18.
9 x 2 = 18
198/18 = 11
Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft
Answer: the answer is no
Step-by-step explanation:
no, it is not a right triangle
Step-by-step explanation:
39 square+32.5 square=48.5 square
1,521+1056.3=2, 352.3
2577.3=2352.3
it's not the same so the result it no
Slope is 7, and (3, 2) is on the line.
The equation of the line is y
Answer:
y=7x-19
Step-by-step explanation:
slope equation is y=mx+b
plug in the coordinate
2=7(3)+b
b=-19
Answer:
y=3x-13
Step-by-step explanation:
this is the answer
Sergio wants to go the Empire State Building. The shortest path from the airport to the Empire State Building is about 14.4 miles long. What will be the cost of using Uber rush ?
Answer:
$5.76 should be the answer as 14.4 divided by 2.50 gets the answer.
Step-by-step explanation:
Please help for number 17.
Answer:
If simplifying, then
x^3 -13x^2 -x -49
Step-by-step explanation:
To do this, I would start off with the left side (use PEMDAS)
Use FOIL (First, Outside, Inside, Last)
x^3 + -9x^2 + 6x + -54 - (4x^2 + 7x - 5)
Bring negatives inside parenthesis
x^3 -9x^2 +6x -54 -4x^2 -7x +5
Combine like-terms
x^3 -13x^2 -x -49
(x^2 +6)(x-9)-(4x^2 +7x-5)
x^2 + 6 * x - 9 - 4x^2 - 7x + 5
x^2 + 6x - 9 - 4x^2 - 7x + 5
(x^2 - 4x^2) +(6x - 7x)+(-9 + 5)
(-3x^2)+(-x)+(-4)
=-3x^2 -x - 4
In a certain rectangle, the ratio of the lengths of
2 adjacent sides is 5 to 2. If the area of the rectangle is
90 square inches, what is the length, in inches, of the
longer side?
A. 6.
B. 9
C. 15
D. 18
E. 45
Answer:
C. 15
Step-by-step explanation:
The longer side is 15 and the shorter side is 6.
15*6=90
reduce 15 by dividing it by 3
=5
reduce 6 by dividing it by 3
=2
therefore, the ratio is 5:2
Which expression is NOT equivalent to 4 x 3/8
Answer:
yea
Step-by-step explanation:
Help me with the question please.
Identify whether the function f(x)= -3.2^1/6 is a monomial function, power function, both, or neither?
A.) Both
B.) Monomial
C.) Power
D.) Neither
Answer:
both
Step-by-step explanation:
both plus power = neither
Lincoln Middle School had a canned food drive. The 6th graders brought in 5.75 boxes of canned food, the 7th graders brought in 6.5 boxes of canned food, and the 8th graders brought in 7 1/3
boxes of canned food. What was the total number of boxes of canned food brought in by the three grades?
Everybody brought in 19.25 boxes of food
Brainliest, please.
What are the solutions of 3x2 + 14x + 16 = 0?
Answer:
x=− 3/8
x=−2.667
x=−2
4.3 Solving 3x2+14x+16 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 3
B = 14
C = 16
Accordingly, B2 - 4AC =
196 - 192 =
4
Applying the quadratic formula :
-14 ± √ 4
x = —————
6
Can √ 4 be simplified ?
Yes! The prime factorization of 4 is
2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 4 = √ 2•2 =
± 2 • √ 1 =
± 2
So now we are looking at:
x = ( -14 ± 2) / 6
Two real solutions:
x =(-14+√4)/6=(-7+)/3= -2.000
or:
x =(-14-√4)/6=(-7-)/3= -2.667
Hope this helps! Please mark Brainliest!
Answer:
-2 or -8/3
Step-by-step explanation:
It factors as: (3x+8)(x+2)
so x can equal -2 or -8/3
What are the missing parts that correctly complete the proof?
Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.
Drag the answers into the boxes to correctly complete the proof.
Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. PX¯¯¯¯¯≅PX¯¯¯¯¯ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant
What are the missing parts that correctly complete the proof?
Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.
Drag the answers into the boxes to correctly complete the proof.
Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. PX¯¯¯¯¯≅PX¯¯¯¯¯ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant
Answer:
1. point p is on the perpendicular bisector of AB¯¯¯¯¯- given
2. AXP≅BXP. definition of bisector
3. ∠PXA and ∠PXB are right angles. definition of perpendicular
4. ∠PXA≅ ∠PXB. All right angles are congruent.
5.PX¯¯¯¯¯≅PX¯¯¯¯¯ Reflexive Property of Congruence
6.AXP≅AXQ. SAS Congruence Postulate
7.AX¯¯¯¯¯≅BX¯¯¯¯¯
8.Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant
Step-by-step explanation:
Answer:
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. AX¯¯¯¯¯≅BX¯¯¯¯¯¯ . Definition of bisector
3. ∠PXA and ∠PXB are right angles . Definition of Perpendicular
4. ∠PXA and ∠PXB . All right angles are congruent.
5. PX¯¯¯¯¯≅PX¯¯¯¯¯ . Reflexive Property of Congruence
6. △AXP≅△BXP . SAS Congruence Postulate
7. PA¯¯¯¯¯≅PB¯¯¯¯¯ . Corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯ . Definition of equidistant
Step-by-step explanation:
A math test had 26 questions. The questions were either true/false or multiple choice. The true/false questions were worth 2 points each and the multiple choice were worth 5 points each. If the test is worth 100 points, how many of each type of question are included on the test?
Answer:
True/ false type 10 questions
Multiple choice type 16 questions
Step-by-step explanation:
Using the given formation we can make equations to solve for the number of questions of either type is to be included
let the no of true/false be =x
let the number of multiple choice to be included be = y
x + y=26 .............(1)
now making the equation of points
2x + 5y = 100 .........(2)
substitute y = 26-x from first equation in the second equation
2x + 5(26 - x ) = 100
2x - 5x + 130 = 100
3x=30
x=10
y =26-10=16
find x (explain only)
2/3x - 5 = 13
i know that the answer is x = 27 but i dont understand how.
EXPLAIN BY STEPS!
Explain? Okee!
2/3x-5 = 13
First add 5 on both sides.
2/3x = 18
Now multiply 2/3 on both sides.
x = 12
Woops! It seems you made a mistake. X is not 27, but it is 12.
x = 12
(Segment Proofs)
Given: K is the midpoint of JL, M is the midpoint of LN
JK = MN
Prove: KL LM
Answer:
It's proved below
Step-by-step explanation:
We are given;
- K is the midpoint of JL
- M is the midpoint of LN
By definition of mid points, we can say that;
JK = KL and LM = MN
Now, we are given that JK = MN.
Thus, by substitution, we can deduce that; KL = LM
Thus is because JK can be replaced with KL and MN can be replaced with LM.
Thus, it is proved that KL = LM
what are the parent function in transformation
Answer:
The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative.
Step-by-step explanation:
HELP PLEASE! WILL GIVE BRAINLESIT!
Answer:
B
Step-by-step explanation:
