Answer:
x² - 14x - 15 = (x − 7)² − 64Then the coordinates of the vertex are (7 , -64)Step-by-step explanation:
x² - 14x - 15 = x² - 14x + (49 - 49) - 15
= (x² - 14x + 49) - 49 - 15
= (x² - 14x + 7²) - 49 - 15
= (x − 7)² − (49 + 15)
= (x − 7)² − 64
x² - 14x - 15 = (x − 7)² − 64
Then the coordinates of the vertex are (7 , -64)
Connie Nardelli rents a car for $27 per day. The total cost is a function of the number of days she rents the car. How much will she pay for an 8-day rental? Write an equation for the function. Describe the domain and range of the function. Solve the problem.
The equation is y = 27x. The amount she pays for an 8-day rental will be $ 216. Then the domain and range will be (0, ∞) and (0, ∞).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Connie Nardelli rents a car for $27 per day.
The total cost is a function of the number of days she rents the car.
Let x be the number of days ad y be the total rent cost.
Then the equation will be
y = 27x
The amount she pays for an 8-day rental will be
y = 27 × 8
y = 216
The domain and range will be (0, ∞) and (0, ∞).
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Find the value of x.
Round to the nearest tenth.
B
29
26
X
Α'
C
50
x = [?]°
Law of Cosines: c² = a² + b² - 2ab cos C
Please Help
The measure of the missing angle x is 23.22 degrees
Cosine ruleThe expression for representing cosine rule is expressed as:
c² = a² + b² - 2ab cos C
Given the following parameters
a = 26
b = 50
c = 29
Substitute
c² = a² + b² - 2ab cos C
29² = 26² + 50² - 2(26)(50) cos C
841 = 676 + 2500 - 2600cosC
2335 =2600cos C
cos C = 2335/2660
C = 23.22 degrees
Hence the measure of the missing angle x is 23.22 degrees
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Answer:
23.2 is the correct answer given you need to round to the nearest tenth.
Solve-2x6x + 9.
A. x > -3
B. x < -5
OC. x>-5
D. x <-3
Step-by-step explanation:
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Draw a picture to show the value of 5 x (3 + 7)
How many times as big is 5 x (3 + 7) as (3 + 7)? How do you know?
Amy and alexis share a pizza. amy eats 4/9 and alexis eats 5/12 how much of the pizza is left ? give you answer in the simplest form.
Exact Form:
5
27
Decimal Form:
0.
¯¯¯¯¯¯
185
i hope this helps please have a nice day/night
Answer:
Exact Form:
5
27
Decimal Form:
0.
¯¯¯¯¯¯
185
i hope this helps please have a nice day/night
Step-by-step explanation:
What is (f−g)(x)?
f(x)=x^3−3x^2+2x−3
g(x)=4x^2−5x+7
Enter your answer in the box.
(f−g)(x)=
Answer:
[tex]\large\boxed{\sf x^3 - 7x^2 + 7x - 10}[/tex]
Explanation:
Given:
(a) f(x) = x³ - 3x² + 2x - 3
(b) g(x) = 4x²- 5x + 7
Solve for (f - g)(x) = f(x) - g(x) :
⇒ x³ - 3x² + 2x - 3 - (4x²- 5x + 7)
distribute inside parenthesis
⇒ x³ - 3x² + 2x - 3 - 4x² + 5x - 7
group the variables
⇒ x³ - 3x² - 4x² + 2x + 5x - 3 - 7
add or subtract variables
⇒ x³ - 7x² + 7x - 10
Answer:
x³ - 7x² + 7x - 10
Step-by-step explanation:
Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)
Given:
f(x) = x³ - 3x² + 2x - 3g(x) = 4x² - 5x + 7Simplify:
(x³ - 3x² + 2x - 3) - (4x² - 5x + 7)
(x³ - 3x² + 2x - 3) - (4x²) + - (- 5x) - (7)
x³ - 3x² + 2x - 3 - 4x² + 5x - 7
x³ - 3x² - 4x² +2x + 5x - 3 - 7
x³ - 7x² + 7x - 10
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solve for x
4x + 9
16x - 9
Answer:
9
Step-by-step explanation:
Vertical lines are parallel so the given interior angles are supplementary and their sum is equal to 180:
4x + 9 + 16x - 9 = 180 add like terms
20x = 180 divide both sides by 20
x = 9
A glass marble has a diameter of 18 millimeters. What is the approximate volume of the marble? Use 3.14 for .
A.
3,052.08 cubic millimeters
B.
1,356.48 cubic millimeters
C.
24,416.64 cubic millimeters
D.
339.12 cubic millimeters
The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
A glass marble has a diameter of 18 millimeters.
The radius is 9
[tex]V= \dfrac{4}{3} (3.14) (9)^3 \: \rm unit^3\\\\V = 3,052.08 cubic millimeters[/tex]
The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.
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Please Help I Don't Understand!
The value of x is 8 from the diagram given.
How do you calculate the sides of similar triangles?The corresponding sides of a similar triangle are said to be in proportion if and only if the corresponding angle are also equal.
To calculate the side of line x (|x|), we have to determine the ratios of the corresponding sides as:
[tex]\mathbf{\dfrac{BC}{DC} = \dfrac{AC}{EC}}[/tex]
[tex]\mathbf{\dfrac{x}{10} = \dfrac{12}{15}}[/tex]
x = 120/15
x = 8
Therefore, we can conclude that the value of x is 8.
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Solve the system.
3x + 4y = 7
2x-y=1
What does x and y equal
Answer:
x=1 y=1
Step-by-step explanation:
Let's use the elimination method.
3x+4y=7
2x-y = 1 (multiply both sides by 4)
8x-4y=4
3x+4y=7
(add both equations together)
11x=11
x=1
Plug x=1 into either of the equations
2(1) - y=1
2-y=1
2=1+y
y=1
The slope of a line is 3. The y intercept of the same line is -12
Complete the slope intercept form equation
Answer:
y = 3x - 12
Step-by-step explanation:
Forming the slope-intercept equation :
y = mx + b
m = slopeb = y-interceptSubstitute m = 3 and b = -12 in the equation :
y = 3x - 12Answer:
y = 3x - 12
Step-by-step explanation:
The slope intercept form of a line is y = mx + b, where m is the slope and b is the y intercept. Here, m = 3 and b = -12. Therefore, the slope intercept form for this line is y = 3x - 12.
Please help I’m begging you!!
Answer:
Here is the ans ...hope it helps:)
Angles A and B are complementary. If sin A = 5x + 9 and cos B = 3x + 21, what is the value of x? (1 point) 2 6 15 39
The value of x is 6.
What are complementary?Complementary angles are angles that sum up to 90°.
Analysis:
For angles A and B, to be complementary, the sine of angle A must be equal to the cosine of angle B.
sin A = cos B
5X+9 = 3x+21
5x - 3x = 21 - 9
2x = 12
x = 6
In conclusion, the value of x to make angles A and B complementary is 6.
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PLEASE HELP WITH THE PHOTO LINKED IM REALY BAD AT NEGATIVE NUMBERS!!!
Answer:
B
Step-by-step explanation:
When you have a double negative (ie. 5 -(-10)) they cancel eachother out and become a plus. If you have + and - together, its always a minus, if you have + and + or - and -, its always plus.
Since in 4-(-3), the two minuses cancel each other out and become a plus, you move 3 to the right, since right is the positive direction.
subtracting a negative number changes the equation to an addition.
4 -(-3) becomes 4 + 3 = 7
you would start at 4 and move 3 places to the right.
the answer is B.
At what distance above the ground was the shot fired? Show your work.
Answer:
51.63 ft
Step-by-step explanation:
Tangent 25 = opposite / adjacent
tan 25 = height/100
Height = 100 tan 25 = 46.63 feet ABOVE the head of the victim
victim head height = 5 ft
46.63 + 5 = 51.63 ft
a straight line has gradient -2 and passes through the point (-3 , 10).
work out the equation of the line
give your answer in the form y=mx+c
Answer:
y = 4 - 2x
Step-by-step explanation:
That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4
On a piece of paper, draw a box plot to represent the data.
Then determine which answer choice matches the box plot
you drew.
12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41
Paint can be purchased in two sizes: 1 gallon for $45.99 or 1 quart for $14.99.(round to the hundredths place)a.unit ratio of 1 quart (32oz) for $14.99is __________b.unit ratio of 1 gallon (128oz) for $45.99is __________c.which is the better deal?
Answer:
a. $0.47 per ounce
b. $0.36 per ounce
c. the gallon size costs less per ounce
Step-by-step explanation:
A unit rate is a rate that is expressed with one unit in the denominator. That is, it is <some amount> per unit. The <some amount> value will generally depend on what unit is chosen. This problem suggests the desired unit is 1 oz of paint.
__
a.Unit cost for a quart:
ratio = cost/ounces = $14.99/(32 oz) ≈ $0.468/oz ≈ $0.47/oz
__
b.Unit cost for a gallon:
ratio = cost/ounces = $45.99/(120 oz) ≈ $0.359/oz ≈ $0.36/oz
__
c.The cost per ounce is less for the gallon size. If at least 3 quarts of paint is needed, then buying it in the gallon size will cost less.
If less than 3 quarts are needed, then a gallon container will cost more than is necessary for the paint required. The "better deal" depends on the amount of paint required.
Smita types 5400 words per hour. How many words does she type per minute?
Answer:
here we have to divide the number of words per hour to the number of minutes per hour.
Step-by-step explanation:
5400÷60
=90.
therefore in a minute she types 90 words.
HOPE IT HELPS.BRAINLIESTfind an equation of the circle that has center (-5, 0) and passes through (4, -6).
PLEASE HELP !!!!
Answer:
[tex](x+5)^2+y^2=117[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (-5, 0)[tex]\implies (x-(-5))^2+(y-0)^2=r^2[/tex]
[tex]\implies (x+5)^2+y^2=r^2[/tex]
To find r², input the coordinates of the given point (4, -6) into the equation:
[tex]\implies (4+5)^2+(-6)^2=r^2[/tex]
[tex]\implies 81+36=r^2[/tex]
[tex]\implies r^2=117[/tex]
Therefore, the equation of the circle is:
[tex]\implies (x+5)^2+y^2=117[/tex]
Answer:
Standard form = (x + 5)² + y² = 117
General Form = x² + 10x + y² - 92 = 0
Explanation:
(x - h)² + (y - k)² = r²
center: (h, k)Find radius using:
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]\rightarrow \sf radius : \sqrt{(-5-4)^+(0-(-6))^2} \ = \ 3\sqrt{13} \ \ units[/tex]
Find equation inserting values: Given center: (-5, 0)
⇒ (x - (-5))² + (y - 0)² = (3√13)²
⇒ (x + 5)² + y² = 117
⇒ x² + 10x + 25 + y² - 117 = 0
⇒ x² + 10x + y² - 92 = 0
rotate 90 dgrees answer me
Step-by-step explanation:
here, given points are
(-2,-1),(-5,-3),(-5,-4)
now
(X,y)________ (-y,X)
(-2,-1)________ (1,-2)
(-5,-3)________ (3,-5)
(-5,-4)________ (4,-5)
now plot the points in the graphs
URGENT PLEASE ANSWER
2 Increase 280 in the ratio 5:2
Answer:
300:288
Step-by-step explanation:
5+2=7
280 /7 = 4
20:8
300:288
three numbers are in the ratio 1:3:5 and their sum is 270. find the largest number.
Answer:
150
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as x, 3x, and 5x
=============================================================
Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
=============================================================
Largest number :
⇒ 5x
⇒ 5(30)
⇒ 150
Answer :
Largest number is 150.Step by step explaination :
Here we have been given with the ratio of three numbers that is 1 : 3 : 5. So let us assume a common factor for them , we are assuming it as y.
Therefore,
First number = 1 → 1 × y = 1y Second number = 3 → 3 × y = 3yThird number = 5 → 5 × y = 5ySum of them is 270 :
>> 1y + 3y + 5y = 270
>> 4y + 5y = 270
>> 9y = 270
>> y = 270 / 9
>> y = 90 / 3
>> y = 30
Henceforth, value of y is 30.
★ Finding out first number :-
>> First number = 1y
>> First number = 1 × 30
>> First number = 30
★ Finding out second number :-
>> Second number = 3y
>> Second number = 3 × 30
>> Second number = 90
★ Finding out third number :-
>> Third number = 5y
>> Third number = 5 × 30
>> Third number = 150
write in standard form
(2×10³)+(4×10²)+(4×10¹)+(4×1)
can somebody answer this please.
c:
Answer: 2,444
Step-by-step explanation: We can find the answer to this problem by simplifying the scientific notation, and then adding. You would end up with 2,000 + 400 + 40 + 4 if done correctly. Hope this helps!
Please help
Find f(f(x))
f(x)=x^2
Leah's family took a road trip to Mount Rushmore. Leah fell asleep 44% of the way through the trip. If Leah fell asleep after they had travelled 132 miles, what was the total length of the trip?
How you do it is add the 44% of 132 to 132 (132 + (132×44%))
First you have to find out how much 44% is. Change it into decimal form (0.44) and then multiply the two together. 132 × 0.44 is 58.08 miles. Then you add that to the rest of the trip, 132 miles. (132 + 58/08 is 190.08)
HELP PLEASE I WILL MARK BRAINLIEST
A square has a side length 9 cm.
What is its area?
area of square = s×s
9×9
81cm²
hope it helps...!!!
Answer:
81 cm^2
Step-by-step explanation:
A square is a 2d shape with side lengths all the same.
To find the area, all you need is one side length, which is 9cm in this case.
Then you just square the number (9 x 9) to get 81 cm^2 (centimetre squared).
find the volume to the nearest tenth
4 3/5 - 2 5/6
[four and three fifths minus two and five sixths]
(I got 2 and 7 thirtieths but my teacher had 1 and 23 thirtieths, help?]
Hey there!
4 3/5 - 2 5/6
= 23/5 - 17/6
= 53/30
≈ 1 23/30
Therefore, the answer should be:
53/30
OR
1 23/30
(Either should work because they are equivalent to each other)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .
What is mixed fraction?" Mixed fraction is defined as the fraction representing whole fraction along with the quotient and remainder."
Convert mixed fraction into improper fraction
[tex]m\frac{p}{q} = \frac{q*m+p}{q}[/tex]
According to the question,
Given mixed fraction,
[tex]4\frac{3}{5} -2\frac{5}{6}[/tex]
Convert mixed fraction into improper fraction we get,
[tex]=\frac{23}{5} -\frac{17}{6} \\\\=\frac{138-85}{30} \\\\=\frac{53}{30}\\ \\= 1\frac{23}{30}[/tex]
Hence, value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .
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