Answer:
(5x+4)(x-1)Step-by-step explanation:
[tex]5x^2-x-4\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(5x^2+4x\right)+\left(-5x-4\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}5x^2+4x\mathrm{:\quad }x\left(5x+4\right)\\\mathrm{Factor\:out\:}-1\mathrm{\:from\:}-5x-4\mathrm{:\quad }-\left(5x+4\right)\\\\=x\left(5x+4\right)-\left(5x+4\right)\\\\\mathrm{Factor\:out\:common\:term\:}5x+4\\=\left(5x+4\right)\left(x-1\right)[/tex]
Question 2 (1 point)
According to Hooke's Law, the force needed to stretch a spring varies directly to the amount the spring is stretched 150 pounds of force
stretches a spring five inches, how much will the spring be stretched by a force of 180 pounds?
inches
Blank 1:
===========================================
Explanation:
x = amount (in inches) the spring is stretched
y = force applied (in pounds)
y = kx for some constant k, since x and y vary directly
---------------
Plug in the given info that x = 5 and y = 150 pair up together
Solve for k
150 = k*5
150/5 = k
k = 30
The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.
---------------
Plug in y = 180 to solve for x
y = 30x
180 = 30x
30x = 180
x = 180/30
x = 6
The spring will be stretched 6 inches if you apply a force of 180 pounds.
- Mary earns an hourly wilge of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?
Answer:
39 hours
Step-by-step explanation:
Mary earns an hourly wage of $13
plus a $90 bonus.
Her total paycheck shows she received $597
Subtracting the bonus we get;
$597 - $90 = $507
1 hour -> she gets $13
how many hours will she get $507
Cross multiplying gives;
[tex]\frac{507}{13} * 1 = 39[/tex] hours
Answer:
Mary worked 39 hoursStep-by-step explanation:
$597 - $90 = $507 - payment for hours only
507÷13 = 39
How do I "undo" multiplication
ANSWER - BY DIVIDI.G BOTH THE SIDES OF THE EQUATION BY THAT FRACTION BUT TO DIVIDE BY A FRACTION .WE FLIP THAT FRACTION AND MULTIPLY.
HOPE IT HELPS
A chess club with 60 members is electing a new president. Karen received 39 votes. what percentage of the club members voted for Karen?
Answer:
65% voted for Karen
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
Determine which of the following are the solutions to the equation below.
Answer:
D
you want to use the quadratic formula so you send the 6 over with the x² so you substact 6 on both sides and and and invisible 0x having your equation x²+0x-6 and substitute that equation into the quadratic formula
order each number greatest to least 1/2, -2, square root of 5, -7/4, 2.4
PLEASE HELP ME
Answer:
I think its
2.4, square root of 5, 1/2, -7/4, -2
hope this helps :D
Factor the polynomial 8x2 - 50
Answer:
2(2x - 5)(2x + 5)
Step-by-step explanation:
[tex]8x^{2} -50[/tex]
First pull out 2.
2[tex](4x^{2} -25)[/tex]
We can see each is a square after pulling out 2.
square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:
2(2x - 5)(2x +5)
Let's check our work. Focus on the ( ) first.
2(2x - 5)(2x + 5)
2x * 2x + 2x * 5 - 5 * 2x - 5 * 5
4[tex]x^{2}[/tex] + 10x - 10x - 25
4[tex]x^{2}[/tex] - 25 Can't forget to multiply by 2!
2 (4[tex]x^{2}[/tex] - 25 )
8[tex]x^{2}[/tex] - 50
when multiplying or dividing a negative and negative number your results will be
solve the following equation show your work 9 + 12m = 6 + 15(m - 1)
What is the area of the composite figure?
4 in
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in
Answer:
8π + 12 in²
Step-by-step explanation:
Just add the areas of the semicircle and the triangle.
What is 5.57575757... as a fraction ?
Answer:
[tex]\frac{5.57575757}{1}[/tex]
Step-by-step explanation:
Assuming you can't use a calculator:
5.575757... = 5 + 0.575757...
let 0.575757... = x
1) Substitute x for 0.575757...
5.575757... = 5 + x
2) Multiply both sides by 100
100(5.575757...) = 100(5+x)
557.575757... = 500 + 100x
3) Subtract 500 from both sides
57.575757... = 100x
4) 57.575757... can be written as 57 + 0.575757...
57 + 0.575757... = 100x
5) Substitute x for 0.575757...
57 + x = 100x
6) Subtract x from both sides
57 = 99x
7) divide both sides by 99
x = 57/99
8) plug in 57/99 for x in our original equation
5.575757... = 5 + (57/99)
9) simplify
5.575757... = ((5*99)/99) + (57/99)
5.575757... = (495/99) +(57/99)
5.575757... = (495+57)/99
5.575757... = 552/99
5.575757... as a fraction is 552/99
PLEASE HELP ME DUE TODAY!!
Answer: D) neither
Step-by-step explanation:
If you plug in any of the given coordinates, the answer is always incorrect
q2-b2Evaluate if a=4 and b =-2
Answer:
12
Step-by-step explanation:
Plug the given values into the equation to solve.
a² - b²
(4)² - (-2)²
16 - 4
12
9.51 as a mixed number in a simplest form
Answer:
Below
Step-by-step explanation:
9 [tex]\frac{51}{100}[/tex]
Answer: 9 51/100
Step-by-step explanation:
STEP 1. Convert it into improper fraction
9.51=951/100
STEP 2. Convert improper fraction into mixed fraction
951 ÷ 100=9 R 51
9 51/100
Hope this helps!! :)
Please let me know if you have any question
Any distinct quantity contained in a polynomial.
O Power
O Term
O Base
O Integer
Answer:
answer is B
Step-by-step explanation:
17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack?
Answer:
240
Step-by-step explanation:
you have to divide 1,920 by 8
Can someone please please help me I don’t understand
Answer: Pretty sure the answer is C
Step-by-step explanation:
The integer
is neither positive nor negative.
Answer:
false
Step-by-step explanation:
an integer is any number greater or less than 0
Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?
Answer:
what is theoretical probability
Hello could anyone help me out? thank you! The room temperature is 50 *F. The temperature will decrease by 4*F each hour. Let "h" be the number of hours. When will the temperature be below 32*F?
Write an inequality for this problem.
We start off with 50 as our room temperature.
Then we subtract off 4h to indicate the temperature drops 4 degrees per hour
You can think of it like this
1 hour = drop by 4 degrees
h hours = drop by 4h degrees (multiply both sides by h)
So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after
Solving for h leads to
50-4h < 32
-4h < 32-50 ... subtract 50 from both sides
-4h < -18
h > -18/(-4) ... divide both sides by -4; note the inequality sign flips
h > 4.5
If you go beyond 4.5 hours, then the temperature will be below 32 degrees
notes:
4.5 hours = 4 hours, 30 minutes = 270 minutesthe inequality sign flips whenever you divide both sides by a negative numberAfter 1 hour 46
After 2 hour 42
After 3 hour38
After 4 hour 34
After 4 (1/2) hour 32
Please find the answers
Answer: -4,-3,-2,-1,0,1,2,3
Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.
-x^2 -8=-33 Enter the solutions from least to greatest.
Answer:
x = -5, 5
Step-by-step explanation:
Step 1: Write out equation
-x² - 8 = -33
Step 2: Add 8 on both sides
-x² = -25
Step 3: Divide both sides by -1
x² = 25
Step 4: Take square root on both sides
x = ±5
Step 5: Arrange
-5 < 5
So x = -5, 5
if h(x)=5+c and k(h)=1/x, which expression is equivalent to (k•h)(x) a. (5+x)/x b.1/(5+x) c. 5+(1/x) d. 5+(5+x)
Answer:
A
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle h(x)=5+x \text{ and } k(x) = \frac{1}{x}[/tex]
And we want to find:
[tex](k\cdot h)(x)[/tex]
Recall that this is equivalent to:
[tex]\displaystye (k\cdot h)(x) = k(x) \cdot h(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} (k\cdot h)(x) & = \left(\frac{1}{x}\right)(5+x) \\ \\ & = \frac{5+x}{x} \end{aligned}[/tex]
In conclusion, our answer is A.
Answer:
A. (5 + x) / x
Step-by-step explanation:
h(x) = 5 + x
k(h) = 1 / x
express the above to (k*h)(x)
(k*h)(x) = (1 / x) * (5 + x)
= 1/x (5+x)
= 1 * (5 + x)
x
= 1 (5 + x) = 5 + x
= 5 + x
x
The integer 3 is 3 units from 0 on the number line. Which integer is also 3 units from 0 on the number line? Complete the sentence with the correct integer.
Answer:
-3
Step-by-step explanation:
The number line is the straight line where all the numbers are expressed and when we represent this line we usually use intervals of the same length to express the numbers. For example, the numbers 0, 1, 2, 3, 4 would have the same distance between them since there is one integer between each of them.
The number line also has negative numbers, so the integer to the left of the zero is -1, then we have -2, -3, etc.
In this example we are told that the integer 3 is 3 units from 0 on the number line, this number is 3 units from zero to the right (positive numbers). So, as we said before, if we move 3 units from 0 but to the left we would be 3 units from 0 but on the side of negative numbers and thus, the integer that is also 3 units from zero on the number line is -3.
Points A, P, and B are collinear on AB, and PB:AB = 2/7. A is located on the origin (0,0), P is located at (10, -5), and B is located at (x, y). Which axis is closer to B, the x-axis or the y-axis? Justify your answer.
I don't know how to show the work.
Answer:
The x-axis is closer to B.
Step-by-step explanation:
Since the ratio PB:AB = 2/7 is positive, the line divides internally. So, we use the equation for the coordinates of a point that internally divide a line.
So, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n)
where PB/AB = 2/7 = n/m. So, n = 2 and m = 7
Also, Point A = (0,0) = (x₁, y₁) and point P = (10, -5) = (x₂, y₂).
Substituting these values into x and y, we have
x = (mx₂ + nx₁)/(m + n)
x = (7(10) + 2(0)₁)/(7 + 2)
x = (70 + 0)/9
x = 70/9
x = 7⁷/₉
y = (my₂ + ny₁)/(m + n)
y = (7(-5) + 2(0)₁)/(7 + 2)
y = (-35 + 0)/9
y = -35/9
y = -3⁸/₉
So, the x and y coordinates of B are 7⁷/₉ and -3⁸/₉ respectively. So, point B is -3⁸/₉ units away from the x-axis and 7⁷/₉ units away from the y-axis. So the x-axis is closer to B.
Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 12 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
Answer:
876
Step-by-step explanation:
7689686896
Manny is watching the past three seasons of a The Big Bang Theory. He watched 8
episodes in 6 hours. At this rate, how many episode will he watch in 15 hours?
90
48
20
3.2
Answer:
20 episodes
Step-by-step explanation:
Help me pleaseeee asap, thanks!
Answer:
see below
Step-by-step explanation:
[tex] \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \times 12^2} [/tex]
[tex] ~~~~~~~~ = 8 + i \times \sqrt{12^2} [/tex]
[tex] ~~~~~~~~ = 8 + 12i [/tex]
3x-2y = -1
у= 4х - 7
Answer:
x =3
y =5
Step-by-step explanation:
Solve by substitution
[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]
Find the quotient: –1019÷(−57). a: 7095 B: 1419 c : 1419 d : 7095
Answer:
[tex]Quotient = 17[/tex]
Step-by-step explanation:
Given
[tex]\frac{-1019}{-57}[/tex]
Required
Determine the quotient
[tex]\frac{-1019}{-57}[/tex]
Start by dividing the numerator and denominator by -1
[tex]\frac{1019}{57}[/tex]
The quotient is the integer division of two numbers;
[tex]\frac{1019}{57} = 17.8771929825[/tex]
Since, we only need the integer part;
[tex]Quotient = 17[/tex]
None of the given options answer the question