Answer: 73015
Step-by-step explanation:
multiply both of them together
if the sum of a number and two is doubled, the result is nine less than the number. find the number
write a quadratic function with vertex of (2, -3)
This can be re-inserted into our vertex equation to obtain. y=2(x−2)2+3.
In "standard form," if your instructor desires it, we can expand the right side to get:
Write a quadratic function with a vertex of (2, "-3)" to show results
Find write a quadratic function with vertex of instead (2, -3)
Answer 1
A quadratic's common vertex form is. y=m(x−a)2+b.
In light of the vertex, this becomes (2,3).
So, we do. 11=m(4−2)2+3. f(x) = a(x - h)2 + k, where a, h, and k are constants, is the vertex form of a quadratic function (h, k). If the vertex form of the quadratic parent function f(x) = x2 is used, then y = a(x - h)2 + k, where a = 1, h = 0, and k = 0.
Putting it simply: 8=m(2)2. 8=4m. m=2.
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The swimming pool is open when the temperature is higher than 20C. Lahey tried to swim Monday and Thursday(which was 3 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30C on Monday, but decreased at a constant rate in the next 3 days.
WRITE an inequality to determine the rate of temperature decreased in degrees Celsius per day d, from Monday to Thursday.
An inequality to determine the rate of temperature decrease in degrees Celsius per day d, from Monday to Thursday is 30°c - 3d [tex]\leq[/tex] 20°c
Let's assume the constant rate of decreasing the temperature be d degree Celsius.
So, the total decrease in temperature in three days is 3d degree Celsius.
Given,
The temperature on Monday is 30° c
Then,
The temperature on Thursday (which is 3 days later) will be 30°c - 3d
Since the pool opens when the temperature is higher than 20°c,
The equation to determine the rate of temperature decrease in degrees Celsius per day will be 30°c - 3d [tex]\leq[/tex] 20°c
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y < x² - 2x
find the vertex
The vertex of the equation is (1, -1).
The equation of a parabola in vertex form is,
y = a(x-h)² + k
The coordinates of the vertex are (h,k) respectively and a is a constant.
Given:
y = x² - 2x
Rearrange the given equation in the form of the equation of the parabola in vertex form using the method of completing the square.
y = (x² - 2x + 1) - 1
y = (x - 1)² - 1
Therefore, the vertex of the equation is (1, -1).
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Evaluate the equation
f(n) = -2n + 1
ƒ (12) =
Hello!
To find f(12):
⇒ must plug in '12' into the x's position in the equation
[tex]f(12)=-2(12) +1=-24+1=-23[/tex]
Hope that helps!
Ty and Elijah each decide to collect baseball cards. Ty has 37 cards and Elijah has 42 cards to begin with. Ty decides to buy 4 more cards each week and Elijah decides to buy 3.
The number of weeks that they will they have same number of baseball cards is 5 weeks.
How to illustrate the information?From the information given, Ty and Elijah each decide to collect baseball cards. It should take about Ty has 37 cards and Elijah has 42 cards to begin with. Ty decides to buy 4 more cards each week and Elijah decides to buy 3.
Therefore, the expression for Ty will be:
= 37 + 4x
The expression for Elijah will be:
= 42 + 3x
where x = number of cards
Therefore, this will be:
37 + 4x = 42 + 3x
4x - 3x = 42 - 37.
x = 5
The number of weeks is 5.
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Ty and Elijah each decide to collect baseball cards. Ty has 37 cards and Elijah has 42 cards to begin with. Ty decides to buy 4 more cards each week and Elijah decides to buy 3. In how many weeks will they have same number of baseball cards?
Rosemary is using the cookie recipe that cause 42 2/ 3rd cups of flour and 1 7/8 cups of sugar for each batch. She decides to increase the recipe so she can make three 1/4 batches of cookies to serve at her. Pick me how much flour does rosemary need for the increased recipe?
The amount of flour that Rosemary needs for the increased recipe of cookie is 138 2/3 batches.
How much flour is needed?The quantity of flour and sugar needed for a batch of cookie recipe are written as mixed numbers. A mixed number is a non-integer that consists of a whole number and a proper fraction. A proper fraction is a fraction where the numerator is smaller than the denominator.
In order to determine the quantity of flour that would be needed for 3 1/4 batches, multiply the amount of flour needed for one batch of cookie by the number of batches to be made.
Multiplication is the process that is used to determine the product of two or more numbers. The sign that represents multiplication is x.
Amount of flour needed for 3 1/4 batches = flour needed for one batch x number of batches
42 2/3 x 3 1/4
128 / 3 x 13/4 = 416 / 3 = 138 2/3 batches
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Dennis runs 3.2 miles every day. His
brother Gary runs 1.7 times as far every day. How fa
does Gary run
Answer:5.44
Step-by-step explanation:
3.2x1.7
i need help on this, thanks
Answer:
x=15, y=7
Step-by-step explanation:
Angles that form a linear pair are supplementary, so:
[tex]2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7[/tex]
Select the correct answer.
What is the solution for x in the equation?
1/2+³/2= = x - 4
O A.
OB.
O c.
= -3
I = //
x = 3
OD. I =
-1/3
Answer: c x=3
Step-by-step explanation:
Simplify it you will get
2-x=x-4 then minus x and four so you will get
2x=6 divide
X=3
v = ___ (look at photo) { will mark brainliest if correct }
Answer: v = 17°
Step-by-step explanation:
All triangles add up to 180°.
[tex]94+35+3v=180[/tex]
[tex]3v=51\\v=17[/tex]
Answer:
Step-by-step explanation:
v=51
Select the TWO numbers that are solutions to the equation x³ = 27.
□A√27
□ C √27
□D 27³
DE 9
Cube roots - The two numbers that are solutions to the equation x³ = 27 are +3 and -3.
What are cube roots?
A number's cube root is a quantity that, when multiplied by itself three or more times, returns the original quantity. The cube root of 27, represented as 327, for instance, is 3 because 3 x 3 x 3 = 27 = 33 when we multiply 3 by itself three times. As a result, we can state that the cube root yields a value that is essentially cubed. Here, 27 is referred to as the ideal cube. We may deduce what the cube's root is from the word "cube root." It denotes the integer that brought about the cube under the root. Typically, we use the prime factorization technique to determine the cubic root of perfect cubes. We can discover the importance of square root in a similar way.
We are given the equation,
[tex]x^{3}[/tex] = 27
taking cube root on both the sides to find the value of x,
we get,
x = ±[tex]\sqrt[3]{27}[/tex]
further solving,
x = ±3.
Hence the two solutions of the x³ = 27 equation will be ±3 or +3 and -3.
Because 3x3x3 Equals 27, the cube root of 27 is 3.
Since 4x4x4 = 64, the cube root of 64 is also 4, and so on.
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Which box-and-whisker plot represents this data: 6, 7, 9, 9, 20, 22, 26, 28, 29, 30?
The Last box-and-whisker plot represents the data 6, 7, 9, 9, 20, 22, 26, 28, 29, 30.
What is the box-and-whisker plot?A box and whisker plot is a visual representation of variance in a set of data. The majority of the time, a histogram analysis gives an adequate display, but a box and whisker plot can add more detail while enabling the display of various sets of data on the same graph.It divides the data into five numerical categories: minimum, first quartile (Q1), median, third quartile (Q3), and "maximum." You can learn more about your outliers' values from it.The box-and-whisker plot and the box-and-whisker diagram are other names for a box plot that also includes lines (referred to as whiskers) extending from the box to indicate variability outside the top and lower quartiles.To learn more about box-and-whisker plot sums, refer
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Let's explore a job or career based on a salary. A high school graduate can make $31,200 per year. Any additional year of training or schooling can
increase the salary by $4,000 per year. Complete the table to show salaries of individuals who have the following years of training or schooling beyond
high school. In the last cell, give a general algebraic expression (using x instead of a number) to represent a job or career salary based on
The complete table will be;
In 2 years, The amount of salary = $35,200
In 5 years, The amount of salary = $31,200 + 5 x $4,000 = $51,200
In 10 years, The amount of salary = $71,200
In x years, The amount of salary = = $31,200 + $4,000x
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A high school graduate can make $31,200 per year.
Any additional year of training or schooling can increase the salary by $4,000 per year.
Now, In one year, Salary = $31,200
So, In 2 years, The amount of salary = $31,200 + $4,000
= $35,200
In 5 years, The amount of salary = $31,200 + 5 x $4,000
= $31,200 + $20,000
= $51,200
In 10 years, The amount of salary = $31,200 + 10 x $4,000
= $31,200 + $40,000
= $71,200
In x years, The amount of salary = $31,200 + x × $4,000
= $31,200 + $4,000x
Thus, The complete table will be;
In 2 years, The amount of salary = $35,200
In 5 years, The amount of salary = $31,200 + 5 x $4,000 = $51,200
In 10 years, The amount of salary = $71,200
In x years, The amount of salary = = $31,200 + $4,000x
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If f(x) = 7(2x - 9), find f^-1(x).
The inverse of the given function is f^-1(x)= (x - 63) /14
What is an inverse?A function's reverse function F is a function that reverses the action of f (sometimes known as the inverse of f). If the inverse of f exists, it is designated by f -1 and exists only if f is bijective. The graph of the inverse of a function shows the function and the inverse of the function, which are both plotted over the line y = x. This graph's line traverses the origin and has a slope value of 1.
The first step is to open the brackets
So now we get, f(x)= 14x - 63
Let f(x) be y so this becomes y= 14x+ 63
Now interchange the variables and we will get
x= 14y+ 63
(x- 63)/14= y
Replace y by f^-1(x).
f^-1(x)= (x - 63) /14
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If I move up to 8 and then move down to 8 what can you tell me about my ending position please help me
100 POINTS PLS HELP
Add parenthesis and grouping symbols to each order of operations problem to make the equation true.
1. 4 ✖️ 3 + 7 - 6 ✖️ 1 + 4 = 20
2. 60 - 18 ➗ 2 + 4 + 10 ➗ 2 = 12
3. 80 - 36 ➗ 2 + 6 - 2 ✖️ 5 + 1 = 44
4. 3 ✖️ 5 + 4 - 2 ✖️ 2 + 6 - 4 = 15
The equations with parentheses added to make them true are;
(4 × (3 + 7 - 6) × 1) + 4 = 20(60 - 18) ÷ (2 + 4) + 10÷2 = 1280 - 36 ÷ (2 + 6 - 2) × (5 + 1) = 443 × (5 + 4) - (2 × (2 + 6) - 4) = 15What is the effect of parentheses in a mathematical expression?Parentheses indicate that operations within it should be completed first before those that are outside the parentheses.
The given terms of the equations can be regrouped with parentheses to make the equations true as follows;
1. 4 × 3 + 7 - 6 × 1 + 4 = 20
The above equation gives;
3 + 7 - 6 = 4
Therefore;
4 × 3 + 7 - 6 × 1 + 4 = 4 × (3 + 7 - 6) × 1 + 4
4 × (3 + 7 - 6) × 1 + 4 = (4 × 4) × 1 + 4
(4 × 4) × 1 + 4 = 16 × 1 + 4 = 16 + 4 = 20
Which gives;
(4 × (3 + 7 - 6) × 1) + 4 = 202. 60 - 18 ÷ 2 + 4 + 10 ÷ 2 = 12
60 - 18 = 42
2 + 4 = 6
The first four terms, therefore gives;
(60 - 18) ÷ (2 + 4) = 7
10÷2 = 5
Which gives;
60 - 18 ÷ 2 + 4 + 10 ÷ 2 = (60 - 18) ÷ (2 + 4) + 10÷2
(60 - 18) ÷ (2 + 4) + (10÷2) = 7 + 5 = 12
Which gives;
60 - 18 ÷ 2 + 4 + 10 ÷ 2 = (60 - 18) ÷ (2 + 4) + 10÷2 = 12
The expression is therefore;
(60 - 18) ÷ (2 + 4) + 10÷2 = 123. 80 - 36 ÷ 2 + 6 - 2 × 5 + 1 = 44
80 - 36 ÷ 2 + 6 - 2 × 5 + 1 = 80 - 36 ÷ (2 + 6 - 2) × (5 + 1)
(2 + 6 - 2) = 6, and (5 + 1) = 6
Therefore;
80 - 36 ÷ 2 + 6 - 2 × 5 + 1 = 80 - ((36 ÷ 6) × 6)
80 - ((36 ÷ 6) × 6) = 80 - ((36 × 6) ÷ 6)
80 - ((36 × 6) ÷ 6) = 80 - (36 × 1) = 44
Therefore;
80 - 36 ÷ (2 + 6 - 2) × (5 + 1) = 444. 3 × 5 + 4 - 2 × 2 + 6 - 4 = 15
3 × 5 + 4 - 2 × 2 + 6 - 4 = 3 × (5 + 4) - (2 × (2 + 6) - 4)
3 × (5 + 4) - (2 × (2 + 6) - 4) = 3 × 9 - (16 - 4)
3 × 9 - (16 - 4) = 27 - 12 = 15
Therefore;
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Distance between two ships two ships leave the same port at noon. ship a sails north at 25 mph, and ship b sails east at 14 mph. how fast is the distance between them changing at 1 p.m.?
The distances of the ships makes a right angled triangle. Ship A sails at 25 mph in direction QP, towards north. Ship B sails at 14 mph in direction QR, towards east.
Therefore, the distance between the two ships at 1 P.M. would be the distance between PR.
Applying Pythagoras Theorem,
[tex]P^{2} +B^{2} = H^{2}[/tex]
[tex](PQ)^{2} + (QR)^{2} = (PR)^{2} \\PR= \sqrt{(PQ)^{2} + (PR)^{2} } \\= \sqrt{(25)^{2} + (14)^{2} } \\= \sqrt{821} mph[/tex]
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Find the measure of angle b.
A. 38
B. 67
C. 75
D. 105
Answer:
it’s B
Step-by-step explanation:
just took the test
Answer:
D.105
Step-by-step explanation:
sum of measures of the three angles equal 180
therefore measure of angle B equal 180-(52+23)=105 degree
Eli can run 12 miles in 72 minutes. How many miles can he run in 60 minutes?
Hello, can you help me figure out what mistake I have made?
solution
To factorize the Trinomial, we seek two numbers such that the product is -14 and the addition is 5
We have
Pair Product sum
(-2, 7) -14 5
Hence we have
[tex]\begin{gathered} x^2+5x-14=x^2-2x+7x-14 \\ \Rightarrow x(x-2)+7(x-2) \\ \Rightarrow(x-2)(x+7) \end{gathered}[/tex]Hence the correct option is C
Help me with this question pleaseeeeeee
Answer:
False
Step-by-step explanation:
Scale copies are indicated by proportional changes in the lengths of the sides of a figure. in this image, we can see that the bottom side of the figure is different while the shorter segments on each figure are the same length. Because of this, the answer is False as they can not be scale copies.
The common ratio of a geometric series is \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction and the sum of the first 444 terms is 170170170.
What is the first term of the series?
The first term of the geometric progression will be 128.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
Given that the common ratio of the geometric series is ( 1 / 4 ) and the sum of the first four terms is 170.
The first term of the geometric series will be calculated as:-
[tex]S_n = a_1\dfrac{(r^n-1)}{r-1}[/tex]
[tex]170 = a_1\dfrac{(\dfrac{1}{4}^4-1)}{\dfrac{1}{4}-1}[/tex]
a₁ = ( 170 x 64 ) / 85
a₁ = 2 x 64
a₁ = 128
Therefore, the first term of the geometric progression will be 128.
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Isaac is going to invest in an account paying an interest rate of 6.3% compounded monthly. How much would Isaac need to invest, to the nearest ten dollars, for the value of the account to reach $57,000 in 7 years?
Isaac need to invest $ 36720.
Given,
Isaac is going to invest in an account paying an interest rate of 6.3% compounded monthly.
and, the value of the account to reach $57,000 in 7 years.
To find the how much would Isaac need to invest.
Now, According to the question:
Let x be the invest in an account.
Based on the given conditions,
formulate:
x . [tex]([/tex]1 + 6.3%/ 12[tex])^7^.^1^2[/tex] = 57000
Solve the equation
x . (1 + 0.063/12[tex])^7^.^1^2[/tex] = 57000
Convert decimals to integers
x . (1 + 63/12000[tex])^7^.^1^2[/tex] = 57000
Reduce the fraction
x . (1 + 21/4000[tex])^7^.^1^2[/tex] = 57000
x . ([tex]\frac{4000+21}{4000})^8^4[/tex] = 57000
Calculate the sum or difference
x . (4021 / 4000[tex])^8^4[/tex] = 57000
x = [tex]\frac{57000}{(\frac{4021}{4000})^8^4 }[/tex]
Simplify using exponent rule with same exponent :
[tex](ab)^n = a^n . b^n[/tex]
x = [tex]\frac{57000 . 4000^8^4}{4021^8^4}[/tex]
Solve the above equation, we get
x = 36720
Hence, Isaac need to invest $ 36720
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Hey hon yybhy just got off work
Question 2(Multiple Choice Worth 4 points)
(01.02 MC)
A foreign exchange student from Denmark would like to buy gifts for her family. She finds a special deal, 7 t-shirts for $97.93, that
she would like to purchase for her family. However, her family only consists of 5 people. If she wants to purchase 5 t-shirts for her
family members at that special rate, what would be the cost of these t-shirts in her currency of Krona? (Currency conversion rate is 1
U.S. Dollar = 8.6964 Krona)
O 121.663 Krona
O 13.99 Krona
608.313 Krona
2
69.95 Krona
The cost of the 5 t-shirts in her currency of Krona is 608.313 Krona.
How do you make a currency conversion?The formula for converting currencies is Original Currency / New Currency = Exchange Rate.
Given:
Cost of 7 t-shirts at a special deal = $97.93
Now, she wants to purchase 5 t-shirts for her family members at this special rate.
Total Cost of 5 shirts in dollars = (97.93 * 5)/7 = $69.95
The exchange rate of the currency is 1 U.S. Dollar = 8.6964 Krona
So, $69.95 = (69.95 * 8.6964)/1 = 608.313 Krona
Therefore, the cost of the 5 t-shirts in her currency of Krona is 608.313 Krona.
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The height of a woman can be predicted by the equation h = 81.2 +3.34r, where his her height in centimeters and ris
the length of her radius bone in centimeters.
a. Write the equation in standard form.
h=
b. Find the r- and h-intercepts. Round to the nearest hundredth.
h-intercept =
r-intercept =
c. Use the function to find the approximate height of a woman to the nearest centimeter whose radius bone is 25 centimeters long.
cm
Using the given linear function, we have that:
a) The equation in standard form is: h - 3.34r - 81.2 = 0.
b) The intercepts are given as follows: h-intercept = 81.2, r-intercept = -24.31.
c) The predicted height is of 164.7 centimeters.
What is a linear function?A linear function, in slope-intercept format, is modeled according to the following rule:
y = mx + b
In standard format, the equation is given by:
y - mx - b = 0.
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).For this problem, the equation is:
h = 81.2 + 3.34r.
In standard format, the equation is:
h - 3.34r - 81.2 = 0.
From the equation, the h-intercept is of 81.2. To find the r-intercept, we have to solve for r when h = 0, hence:
3.34r + 81.2 = 0.
3.34r = -81.2
r = -81.2/3.34
r = -24.31.
For item c, the radius is given by r = 25, hence the height will be given as follows:
h = 81.2 + 3.34(25) = 164.7.
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Estimate a 15% tip on a dinner bill of 59.17 by first rounding the bill amount to the nearest ten dollars.
well, the bill was $59.17, if we round it by the "tens", the closest to 59 is 60, since 59 is farther from 50 but closer to 60, so it rounds up to 60
[tex]50\stackrel{farther}{\rule[0.35em]{18em}{0.25pt}59.17}\stackrel{closer}{\rule[0.35em]{2em}{0.25pt}}60 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 60}}{\left( \cfrac{15}{100} \right)60}\implies 9[/tex]
What is the value of x?
A. x = 32
B. x = 37
C.x = 58
D. x = 148
LET US FIRST FIND m<FEG using sum of angles in a triangle
[tex]58 + 90 + < feg = 180 \\ < feg = 180 - 90 - 58 \\ < feg = 32[/tex]
NOW WE CAN SEE THAT <FEG +<E =180° BECAUSE THEY ARE ON A STRAIGHT LINE.
[tex] < feg + 4x = 180 \\ 32 + 4x = 180 \\ 4x = 180 - 32 \\ 4x = 148 \\ \frac{4x}{4} = \frac{148}{4} \\ x = 37[/tex]
THEREFORE x=37°
classify the equation 10x+22x-5=8(4x+7)?as having one solution,no solution,or infinite many solutions