Answer:
x^2 -2x+1
Step-by-step explanation:
(x - 1 )(x - 1)
FOIL
first: x*x = x^2
Outer: -1x
inner: -1x
Last: -1*-1 = 1
Add these together
x^2 -1x-1x+1
x^2 -2x+1
Answer:
x² - 2x +1
Step-by-step explanation:
(x - 1) (x - 1)
x(x - 1) - 1(x - 1)
x² - x - x + 1
x² -2x + 1
4x+23=9x-7
Solve for x
Answer:
x = 6
Step-by-step explanation:
4x + 23 = 9x - 7
23 = 9x - 4x - 7
23 + 7 = 5x
30 = 5x
30 ÷ 5 = x
6 = x
x = 6
A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was 53.50. Find the price of each shrub.
Answer:
Is $9
Step-by-step explanation:
$9 because you subtract 17.50 from 53.50 and you will get 36 and then divide by 4 which make it $9 a shrub
Assume m<22=35. Find the measure of all of the other angles in the figure given line L and line P are parallel.
PLEASE HELP!!! ASAP!!!
(Picture included)
Answer:
m∠1 = 145°
m∠3 = 35°
m∠4 = 145°
m∠5 = 145°
m∠6 = 35°
m∠7 = 35°
m∠8 = 145°
Step-by-step explanation:
In the picture attached,
line 'm' and line 'l' are the parallel lines and another line intersects these lines is a transverse.
m∠2 = 35°
Since ∠1 and ∠2 are supplementary angles,
m∠1 + m∠2 = 180°
m∠1 + 35° = 180°
m∠1 = 180° - 35°
m∠1 = 145°
∠1 ≅ ∠4 [Vertical angles]
m∠1 = m∠4 = 145°
∠2 ≅ ∠3 [Vertical angles]
m∠2 = m∠3 = 35°
∠3 ≅ ∠6 [Interior alternate angles]
m∠3 = m∠6 = 35°
Similarly, ∠4 ≅ ∠5 [Interior alternate angles]
m∠4 = m∠5 = 145°
∠6 ≅ ∠7 [Vertical angles]
m∠6 = m∠7 = 35°
Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given expression is
[tex]\dfrac{(5ab)^3}{30a^{-6}b^{-7}}[/tex]
We need to find the expression, which is equivalent to the given expression.
The given expression can be rewritten as
[tex]\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}[/tex] [tex][\because (ab)^m=a^mb^m][/tex]
[tex]\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}[/tex]
[tex]\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}[/tex] [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]
[tex]\dfrac{25}{6}\times a^{3+6}\times b^{3+7}[/tex]
[tex]\dfrac{25a^9b^{10}}{6}[/tex]
Therefore, the correct option is D.
Answer:
The correct option is D
Step-by-step explanation:
The tip jar at a sandwich shop has been found to have a dollar value 0.65h + 1.25, where h is the number of
hours since the shop opened.
a. By how much is the value of the tip jar increasing per hour?
Answer:
H is showing how the amount of the tip jar is increasing over time
Step-by-step explanation:
The height of a redwood (in meter) tree varies with age (years). Identify the dependent and independent variables.
Answer:
height is dependent variable
age of redwood is Independent variable.
Step-by-step explanation:
Independent variables are those variables whose value does not gets affected by change in other variable.
dependent variable are those variable are those variables whose value does gets affected by change in other variable.
means that if there a change in value od one variable then the value of dependent variable also gets changed.
_______________________________________________
Given
The height of a redwood (in meter) tree varies with age (years).
Here height of redwood will change if age of redwood changes.
hence, height is dependent on age and hence going by definition of dependent variable
height is dependent variable
In the problem age does not change with height of the tree and it is also given that age varies with any other attribute.
hence change in value of age does not depend on any variable and hence
age of redwood is Independent variable.
Which expression has the same value as Negative 18 divided by (negative 9)? Negative 18 divided by 2 Negative 12 divided by (negative 3) Negative 10 divided by 5 Negative 8 divided by (negative 4) (for brainliest)
Answer: -8/-4
Step-by-step explanation:
When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem
18/9 = 2
Now all is left to determine which other expression is equivalent to 2
In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.
18/2 = 9 = incorrect
12/3 = 4 = incorrect
-10/5 = -2 = incorrect
8/4 = 2 = correct
So the expression -8/-4 is equivalent to the expression -18/-9
Answer:
Its D
Step-by-step explanation:
took the test its right, yw
what is 76 over 9 divided by 14 over 3?
Answer:
38/21 or 1.80952381
Step-by-step explanation:
Answer:
(76/3) / 14 OR AROUND 9/5
Step-by-step explanation:
So I'm assuming this equation is (76/9) / (14/3)
We can solve this in a simple way instead of a hard way -->
9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)
76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5
Hope this helps!
Plzzzzzzzz! A suitcase lock has a code 4 symbols long. The symbols on the lock are a star, a square, a circle, a triangle, a line, and a pentagon. What is the probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice? Enter your answer as a fraction in simplest form.
Answer:
[tex]\dfrac{1}{30}[/tex]
Step-by-step explanation:
6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:
6•5•4•3 = 360
If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.
So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:
1•1•4•3 = 12
The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:
[tex]\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}[/tex]
Accessibility Text Size Aa Aa Aa Type your answers into the boxes. A fish bowl contains blue, green and red plastic fish. When a fish is picked out at random, the probability of it being blue is 0.7 and the probability of it being green is 0.2. A prize is given if a red fish is picked out. What is the probability of Matt picking a red fish? (Give your answer as a decimal.) There are 60 fish in the fish bowl. How many of the fish are red?
Answer:
Step-by-step explanation:
Since the fish bowl contains blue, green and red plastic fishes, it means that a fish picked at random would be any of these colors.
the probability of it being blue is 0.7 and the probability of it being green is 0.2, then probability of Matt picking a red fish is
1 - (0.7 + 0.2) = 0.1
If there are 60 fishes in the fish bowl, then the number of fishes that are red is
0.1 × 60 = 6 fishes
plz help!! tell me which ones you solve
Answer:
Step-by-step explanation:
17)-8(5-n)=-96
-8*(5-n)-(-96)=0
(0 - 8 • (5 - n)) - -96 = 0
8n + 56 = 8 • (n + 7)
8 • (n + 7) = 0
Solve : 8 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : n+7 = 0
Subtract 7 from both sides of the equation :
n = -7
n = -7 is your answer
Find the gradient of the line l1 which has equation 4x-3y+5=0 .
Answer:
The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.
4x - 3y + 5 = 0
4x + 5 = 3y
4/3x + 5/3 = y therefore the answer is 4/3.
Put the following numbers in ascending order.
A.540 g
B.180,000 mg
C.0.8 tonnes
D.2.3 kg
Answer:
B, A, D, C
Step-by-step explanation:
Covert all units into grams.
540 g = 540 g
180,000 mg = 180g
0.8 tonnes = 800000 g
2.3 kg = 2300 g
Arrange in ascending order.
180,000 mg, 540 g, 2.3 kg, 0.8 tonnes
If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?
Answer:
Its B
Step-by-step explanation:
Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test
Write the quadratic function in f(x)= a(x-h)^2+k form whose graph is shown.
f(x)=
Answer:
f(x) = - (x - 2)² + 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, 2 ), thus
y = a(x - 2)² + 2
To find a substitute the point (0, - 2) into the equation
- 2 = a(- 2)² + 2 ( subtract 2 from both sides )
- 4 = 4a ( divide both sides by 4 )
a = - 1
Thus
f(x) = - (x - 2)² + 2
Need help with this XY chart for coordinate points
Answer:
Y= -9, -4, 1, and 11
Step-by-step explanation:
You substitute in the numbers on the left (under x) into the equation to find y.
PLS HELP ME ANSWER, i Need it quick
Answer:
69
Step-by-step explanation:
The median is the middle number. Using the box and whisker box, the median is the middle line in the box. The line is at 69 for Genevieve
There are one hundred people standing in a circle. They count off beginning at one and ending at one hundred. Since they are in a circle, ONE is next to TWO and ONE HUNDRED. ONE has a sword and kills TWO. He passes the sword to THREE who kills FOUR. And so forth. NINETY-NINE kills ONE HUNDRED and passes the sword to ONE. Then ONE kills THREE and passes the sword to FIVE. This goes on until only one person is left standing. Which number is he?
Answer:
number 1
Step-by-step explanation:
One of the below tables of values shoes information from a linear realationship which one is it and how do you know? Explain your answer PLEASE HELP ASAP! :)
Answer:
The answer is D
Step-by-step explanation:
It's because both x and y increase linearly by adding two each time to the x and 4 to the y.
Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Item Amount Shorts $14.00 Soccer ball $25.00 Shin guards $10.00 Cleats $60.00 $104.94 $109.94 $115.54 $120.54
6% of $14.00=$0.84 so the total cost of shorts=$14.84
6% of $25.00=$1.50 so the total cost for soccer ball=$26.50
6% of $10.00=$0.60 so the total cost of shin guards=$10.60
$60.00+$104.94+$109.94+$115.54+$120.54=$510.96
36% of $510.96=$183.95 so the total cost of cleats=$694.91
694.91+$10.60+$26.50+$14.84=$746.85
$746.85+$5=$751.85
Answer:
its option d $120.54
Step-by-step explanation:
ALSOOOO a braddison shipper :)
If 2^2.322 = 5 then what does 2^5.322 equal? Explain how you found your answer.
Answer:
40.002
Step-by-step explanation:
[tex]2^{5.322}[/tex] is 2 to the power of 5.322. Only way to find the exact decimal is to calculate in a calculator. When we do so we should get 40.002 as our answer.
The question says:
'If 2^2.322 = 5 then what does 2^5.322 equal? Explain how you found your answer. '
So we have to use the fact that 2^2.322 = 5, in order to work out what 2^5.322 equals
_______________________________________________
Remember the following indices rule:
a^m times a^n = a^(m+n)
So first we have to use the indice rule to split apart 2^2.322:
[tex]2^{2.322}=2^{2+0.322}=2^2\times2^{0.322}=4\times2^{0.322}[/tex]
Now we can substitute this into the original equation, and work out the approximate value for [tex]2^{0.322}[/tex]:
[tex]2^{2.322} = 5[/tex]
[tex]4\times2^{0.322}=5[/tex]
[tex]2^{0.322}=\frac{5}{4} =1.25[/tex]
Now lets use the indices rule again to split apart 2^5.322:
[tex]2^{5.322} = 2^{5+0.322}=2^5\times2^{0.322}= 32\times2^{0.322}[/tex]
From the previous equation, we worked out that [tex]2^{0.322} = 1.25[/tex]
Therefore:
[tex]2^{5.322} = 32 \times 1.25 = 40[/tex]
____________________
Answer:
40
What is the y-intercept of y=1+6x? Choose 1 answer: (Choice A) A (0,1) (Choice B) B (1,0) (Choice C) C (6,0) (Choice D) D (0,6)
1. A bag contains 12 mangoes, of which 4 are not ripe.
What is the chance of picking at random a ripe mango from the bag ?
2. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
3. What is the number of all possible outcomes of tossing a fair die ?
4. A boy throws a fair die once. What is the probability of getting the number 4 ?
5. There are 10 red and 15 green balls in a bag.
Find the probability of selecting at random a red ball from the bag.
Answer:
1. 2/3 or 66.7%
2. 3/5 or 60%
3. 6
4. 1/6 or 16.7%
5. 2/5 or 40%
Step-by-step explanation:
Please help me simplify this equation
Answer:
A. x
Step-by-step explanation:
1. Simplify parentheses
[tex]\frac{13*(x-3)+39}{13}[/tex]
2. Divide by 13
[tex](x-3)+3[/tex]
3. Basic math ([tex]x-3+3[/tex])
[tex]x[/tex]
I need help with this honestly
Answer:
D.(-4,-8) and(2,4)
Step-by-step explanation:
y=-2x
y=x²-8
this means that the two equations are equal because they both add up to y
thus; x²-8=-2x
formulae=Ax²+bx+c=0
x²+2x-8=0
find two numbers which multiplied will give you x² and when added will give you 2x that is x and x
x²+x+x-8=0
x(x+1)+1(x-8)=0
(x+1)(x-8)=0
1)x+1=0. x= -1
further explanation on answers1)y=-2x
y=-2(-1)=2
y=2
2)y=x²-8
y=1²-8= -8
y= -8
note*this means that the answer should have both 2 and -8 thus d is the answer
4. 5. 6. None of the choices are correct.
Answer:
A. 4
Step-by-step explanation:
Triangle ABD = Triangle BCD
Both hypotenuse are equal in length.
x + 2 = 3x - 6
x - 3x = -6-2
-2x = -8
x = 4
Hi !!
Find the value of x :
We have :
• x + 2
• 3x - 6
Match the values to find x :
x + 2 = 3x - 6
x - 3x = -6 - 2
-2x = -8
x = 8/2
x = 4
* 4 + 2 = 3(4) - 6
6 = 12 - 6
6 = 6
Equality is checked, it is an isosceles triangle
Both the correct value is 4.
Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in. Find the distance between the midpoints of segments AB and CD . Answer: Distance between midpoints is in
Answer: 12 inches
Step-by-step explanation:
Given that :
Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in
Therefore, A, B, C and D lie on a line which has a distance of 6 inches between each consecutive point.
A could be taken as the starting point with and D taken the end of the line with B and C in between them.
For instance:
A = 6; B = 12 ; C = 18 ; D = 24
Midpoint of AB = (12 + 6) / 2 = 18/2 = 9
Midpoint of CD = (18 + 24) / 2 = 42/2 = 21
Distance between the Midpoint AB and CD equals:
Midpoint CD - Midpoint AB
(21 - 9) inches = 12 inches
Answer:
Step-by-step explanation:
12in
29. one of the following has always two points of parallel sides
A. Quadrilateral
B. Triangle
C. Rhombus
D. Pentagon
Answer:
c
Step-by-step explanation:
only rhombus satisfied the question
Answer:
C, Rhombus.
Step-by-step explanation:
A rhombus has 2 pairs of parallel sides. Also a rhombus has 4 congruent sides.
Which is the best reason that a geologist might carry a small dropper bottle filled with hydrochloric acid when doing fieldwork?Which is the best reason that a geologist might carry a small dropper bottle filled with hydrochloric acid when doing fieldwork?
Answer:
"To search whether carbonate mineral content in another material" is the right answer.
Step-by-step explanation:
We want it just because it lets them better examine the calcareous. Once before in interaction against carbonate minerals, any drop of hydrogen peroxide can splash. Those who add this one to the fluid or acidic solution to see how resources respond that makes them know through substances where certain rocks can indeed be contained. Commonly aspects like calcite assistance and guidance.So that the above is the right answer.
A grocer wants to make a 10-pound mixture of berries and chocolate that he can sell for $3.48 per pound. If chocolate cost $5.40 per pound and berries cost $2.20 per pound, how many pounds of berries must he include in the mix?
Answer:
9
Step-by-step explanation:
Since he only has to buy one pound of chocolate to make it a berry chocolate mix, he can just put 9 pounds of berries into it. Why would he want to break even? Make some profits grocer or you are not going to be in that house for very long.