Answer:
The answer is A only i. (0)
Answer:
D
Step-by-step explanation:
Given
x(x + 3)(x - 1)(2x + 1) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus
x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots
Hence
111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D
On the Mertler’s vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After lunch they drove 120 miles in 2 hours before stopping for gas. Are these rates equivalent? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
180/3 = 60
120/2 = 60
Just make it into a fraction and divide. They are driving 60 mph.
3 5/8 to the nearest whole number
Answer:
4
Step-by-step explanation:
3 and 5/8 is closer to 4 then 3 easy
For which inequality is x = 5
What is the unit rate for the cereal when it is 3/$10?
A $3/box
B $3.30/box
C $3.33/box
D $3.67/box
Answer:
B
Step-by-step explanation:
to find unit rate you want to find out how much of one thing cost so you would divide the top by 3 to get it to 1 and whatever you do to the top you have to do to the bottom
PLEASE HELP!! PLEASE GIVE EXPLANATION!
convert 37 percentage into a fraction
Answer:
37/100
Step-by-step explanation:
Rehman invests his summer earnings of $3050. He invests past of the money at 8%/year, and the rest at 7.5%/year. After 1 year, these investments earn 242$ in simple interest. How much did he invest at each rate?
Answer:
let he invest x part of earning at the rate of 8%
simple interest = P*T*R/100 = x*1*8/100 = 0.08x
His invest at the rate of 7.5% = 3050 - x
Again simple interest = P*T*R/100 = (3050 - x)*1*7.5/100 = 228.75 - 0.075x
N0w acc0rding to question
0.08x + 228.75 - 0.075x = 242
0.005x= 13.25
x = 2650
rehman invest 2650 at 8% per year
He invest (3050-2650) = 400 0n 7.5% per year
Step-by-step explanation:
Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.
Step-by-step explanation:
[tex]\sf 2x-y-3=0\dots \dots (1)[/tex]
[tex]\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)[/tex]
from eq (1)[tex]{:}\longrightarrow[/tex][tex]\sf 2x-y-3=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x-3=y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 \dots\dots(3)[/tex]
Substitute the value in eq(2)[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4y-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x +4 (2x-3)-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+8x-12-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-77=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x=77 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {77}{11}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 (7)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=14-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=11 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf (x,y)=(7,11)}}}[/tex]
after a baby was born she began to gain weight at a rate of 2lbs pee month. the weight of the baby at birth was 8lbs. write an equation for W in terms of representing weight in pounds of the newborn baby t months after birth
Answer:
The required function is: [tex]W(t) = 2t+8[/tex]
Step-by-step explanation:
The weight of the baby increases 2lbs per month which means that it is a linear function.
Now given that the initial weight was 8lbs it will remain constant.
Let t be the number of months and as the weight gain is 2 lbs per month, 2t will be the weight gain after t months.
The function can be written as:
[tex]W(t) = 2t+8[/tex]
Hence,
The required function is: [tex]W(t) = 2t+8[/tex]
someone please help me understand how to do this
Answer: These are the answers for the first section
A) 1/5(10)-4= -2
B) 1/5(-15)-4= -7
C) 1/5(2)-4= -3.6
Step-by-step explanation: You plug in those numbers for X
Please help ive been trying at this stupid question for 45 minutes now.
Answer:
25
Step-by-step explanation:
Please help! Due tonight!
Answer:
x = square root of 119
Step-by-step explanation:
Because it is only a little bigger than the side it opposes
NEED HELP ASAP
An airplane is heading due north at 700 kph, and a wind blows at 60 kph in the direction S 45° E. What is the plane’s ground speed?
640.00 kph
658.94 kph
700.00 kph
743.64 kph
Answer:
the planes ground speed is 658.94 kph
Step-by-step explanation:
The ground speed of the plane with respect to the wind is determined as 658.94 kph.
Ground speed of the planeThe ground speed of the plane is determined from the resultant speed of the plane with respect to the wind.
R² = 700² + 60² - 2(700)(60)cos45
R² = 434,203.03
R = √434,203.03
R = 658.94 kph
Thus, the ground speed of the plane with respect to the wind is determined as 658.94 kph.
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25 POINTS!!!
The recipe for a batch of applesauce uses 2 and one-half pounds of apples. If Michael wants to make Three-fourths of a batch of applesauce, how many pounds of apples will he need?
StartFraction 3 Over 10 EndFraction of a pound
StartFraction 8 Over 15 EndFraction of a pound
1 and StartFraction 7 Over 8 EndFraction pounds
3 and one-third pounds
Answer:
i think its the 3erd one... im giveing a estimate because of that one dude. lol
Step-by-step explanation:
im so so so so sorry if its wrong!!!
Answer:
C
Step-by-step explanation:
The ratio of yellow bottles to green bottles is 3:7. If I have 50 bottles, how many are yellow?
7
15
35
21
Answer:
15
Step-by-step explanation:
3 + 7 = 10
50/10 = 5
5 • 3 = 15
5 • 7 = 35
35 + 15 = 50
The cost of 9 scarves is $65.25. What is the unit price?
The unit price is $____ per scarf.
Answer:
7.25 each or 7.00 if rounded
Step-by-step explanation:
If x=4 and y=-2, what is the value of [tex]\frac{1}{2}[/tex] xy²?
Answer:
8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
1/2xy²
x = 4
y = -2
Step 2: Solve
Substitute: 1/2(4)(-2)²Exponents: 1/2(4)(4)Multiply: 2(4)Multiply: 84) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?
Answer:
675
Step-by-step explanation:
If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price
Let x be the original price
x* 80% = 540
Change to decimal form
x * .80 = 540
Divide each side by .80
.80x / .80 = 540/.80
x =675
The original price is 675
solve 3x + 5 ⩾ x + 17
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = x + 17
Reorder the terms:
5 + 3x = x + 17
Reorder the terms:
5 + 3x = 17 + x
Solving
5 + 3x = 17 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
5 + 3x + -1x = 17 + x + -1x
Combine like terms: 3x + -1x = 2x
5 + 2x = 17 + x + -1x
Combine like terms: x + -1x = 0
5 + 2x = 17 + 0
5 + 2x = 17
Add '-5' to each side of the equation.
5 + -5 + 2x = 17 + -5
Combine like terms: 5 + -5 = 0
0 + 2x = 17 + -5
2x = 17 + -5
Combine like terms: 17 + -5 = 12
2x = 12
Divide each side by '2'.
x = 6
Simplifying
x = 6
Elijah is keeping track of his baby sister’s shoe size at different ages throughout her childhood. Which statements about the relationship between Elijah’s sister’s shoe size and her age are true? Select all that apply.
A. The relationship is a continuous function.
B. The relationship is a discrete function.
C. The domain and range are restricted to positive numbers.
D. The domain and range are restricted to positive integers.
Answer:
B and D
Step-by-step explanation:
The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.
If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.
Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.
Answer:
b and d
Step-by-step explanation:
Ghosts are still one of the greatest frights. The number of scares a ghost will get is modeled with the equation
`y=5x+2`. Skeletons, on the other hand, have become rather common and no one is scared of them anymore. In fact, they often are scared themselves more than they scare anyone else. If the equation for skeletons is perpendicular to the equation for ghosts and passes through the point (10, -4), what is the equation for skeletons?
Answer:
i don't know the answer but i really want the points
Step-by-step explanation:
What is an equation of the line thaj passes through the point (6, 3) and is parallel to
the line x + 3y = 24?
The equation that passes through the points (6, 3) and is parallel to the line x + 3y = 24 is [y = -1/3x + 5].
What are line equations?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.So, the equation will be:
Equation passes through the points (6, 3).Parallel to line x + 3y = 24.Now, calculate as follows:
x + 3y = 2yy = -x/3 + 8The gradient of the line: -1/3
y - 3 = -1/3(x - 6)y = -1/3x + 5Therefore, the equation that passes through the points (6, 3) and is parallel to the line x + 3y = 24 is [y = -1/3x + 5].
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Kendrick walked 5/12 a mile in 1/2 of an hour how fast did he walk
Answer:
0.833 mph
Step-by-step explanation:
5/12 miles / 0.5 hours = 0.833 mph
5/6
Kendrick walked
5
12
of a mile in
1
2
of an hour. How fast did he walk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
miles per hour
You answered:
0.5
miles per hour
solve
Find the rate in miles per hour. Divide
5
12
of a mile by
1
2
of an hour.
To divide by
1
2
, multiply by its reciprocal, 2.
5
12
÷
1
2
=
5
12
2
=
52
12
Rewrite the denominator to identify common factors.
52
12
=
52
26
Cancel common factors and simplify.
52
26
=
52
26
=
5
6
Kendrick's rate was
5
6
of a mile per hour.
La fábrica Font Magdalena elabora 6 845 magdalenas diarias y, al empaquetarlas por docenas, utiliza 570 bolsas y le sobran 5 magdalenas. En cambio, la fábrica María Magdalena elabora el doble de magdalenas que la otra fábrica y las empaqueta en cajas de dos docenas. Sin hacer cálculos, ¿cuántas magdalenas le sobran a la segunda fábrica?
Answer:
5 magdalenas
Step-by-step explanation:
Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.
Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.
Dos o más ángulos son_______________________ si la suma de sus medidas es 90°
Answer:
Dos ángulos son complementarios si la suma de sus medidas es igual a 90°.Y son suplementarios si la suma es 180°.
A $290 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)
HURRY I NEED THE ANSWE ASAP
Answer:
261 ! Round to the nearest dollar
PLS HELP ME WITH THIS
9514 1404 393
Answer:
Abby left some squares under the radical20x³√(3x)Step-by-step explanation:
[tex]5x\sqrt{48x^5}=5x\sqrt{3x(4x^2)^2}=(5x)(4x^2)\sqrt{3x}\\\\=\boxed{20x^3\sqrt{3x}}[/tex]
can someone please help me i dont understand this
Answer:
(-2,12)(-1,10)(0,8)(1,6)
Step-by-step explanation:
It has a constant slope of -2/1 *y2-y1/x2-x1*
Describe the total change to Ms. Thomas' savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.
Answer:
$-1465.5
Step-by-step explanation:
Complete question
Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by −$2,931 from payments made on her car loan. Describe the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan. Model your answer using a number sentence.
Given the following
Savings balance (after 1 year) =
−$2,931
If she pays the same amount on her car loan each month, we are to find the total change to Ms. Thomas’ savings account balance after making six monthly payments on her car loan, this can be expressed as;
$x = 6months savings
Solving both equalities
Savings balance (after 1 year) =
−$2,931
Since 1year = 12months
-$2,931 =12months savings
$x = 6months savings
To get the total savings after 6months we will find x by cross multiplying;
12×x = -2931×6
Divide through by 12
12x/12 = (-2931×6)/12
x = -2931/2
x = -1465.5
Hence Ms. Thomas' savings account balance after making six monthly payments on her car loan is $-1465.5
PLEASE HELP Consider the expression 4x + 15. Write a real-world problem that can be solved using the expression. What does the variable represent in this problem?