Given the function f(x)=x^2 + 2x-5, find f(-4).
11
O 3
O-29
Answer:
3
Step-by-step explanation:
Plug in -4 as x in the function:
f(x) = x² + 2x - 5
f(-4) = (-4)² + 2(-4) - 5
Simplify:
f(-4) = 16 - 8 - 5
f(-4) = 3
So, f(-4) = 3
Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.
Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.
The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.
Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
Twelve Divided by the sum of a number and five
The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.
Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
HELP HAVING BAD DAY
Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?
===========================================
Work Shown:
t = time it takes to go from Jackie's house to her friends house
distance = rate*time
d = 30*t
This represents the distance they travel if they go 30 mph
Then when going back home, they take 6 minutes longer
6 minutes = 6/60 = 0.1 hours
So they take 0.1 hours longer meaning the t updates to t+0.1
d = r*t
d = 25*(t+0.1)
d = 25t+2.5
This represents the trip back home.
Since the distance d doesn't change, we can equate the two right hand sides and solve for t
30t = 25t+2.5
30t-25t = 2.5
5t = 2.5
t = 2.5/5
t = 0.5 hours = 30 minutes
d = 30t = 30*0.5 = 15 miles
Can you pls answer the question below
Answer:
The student added instead of subtracting 6 from both sides first before dividing.
What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))
Answer:
Ues the site called quetext is helps
Step-by-step explanation:
Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.
What is Distributive property?Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
(2a)^4
=2^4.a^4
The value of 2^4 is 16, because 2^4=2*2*2*2=16.
=16a^4.
Therefore by distributive property of exponents (2a)^4 = 16a^4.
To learn more on distributive property click:
https://brainly.com/question/5637942.
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y = 4x2 - 5X-10
vertex
Hello, i was wondering if anyone could help me with questions 2 and 3? Thanks :)
I know the page is a bit blurry so here’s what question 2 says:
Hal is munching his garden. He has 5 3/4 bags of much. Each bag covers 105.2 sq. how much area can he cover?
the options are:
A. 520.2
B. 525.75
C 574.5
D 604.9
Answer: 2:D 3: 1/3 of the fruit, or 80 oranges
Step-by-step explanation:
Answer:
Step-by-step explanation: 5x105.2=526 75% of 105.2 is 78.9 so 105.2+78.9=184.1
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by [tex]1^{o}[/tex] F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by [tex]10^{o}[/tex] F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?
Answer:
unit rate= 4-kilometers/minute expected time= 56 minutes
Step-by-step explanation:
14 kilometers x 4 kilo/minute = 56 minutes
Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.
Answer:
The rate of the second car is 30 miles/hour
Step-by-step explanation:
The Given formula is:
4(r + 15) + 4r = 300, where r is the rate for the second car
Let us solve the equation to find r
→ Multiply 4 by (r + 15) first
∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60
→ Substitute it in the equation above
∴ 4r + 60 + 4r = 300
→ Add the like terms in the left side
∵ (4r + 4r) + 60 = 300
∴ 8r + 60 = 300
→ Subtract 60 from both sides
∴ 8r + 60 - 60 = 300 - 60
∴ 8r = 240
→ Divide both sides by 8
∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]
∴ r = 30
∴ The rate of the second car is 30 miles/hour
A number n minus 3 is at least –5.
Answer:
n-3≥-5
If you need the equation solved...
n-3≥-5
+3 +3
n≥-2
Hope this helped!! Have a great day c:
Vinnie is 1/2 as old as Julie Julie is 24 how old is vinnie
Answer:
Vinnie is 12.
Step-by-step explanation:
24 divided by 2 is 12
A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers, but the division is not wholly complete.
For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.
Given that,
Age of Julie = 24 years
Age of Vinnie = 1/2 of 24
The 1/2 fraction of 24 will be
⇒ 24/2 = 12 years.
Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".
For more about fractions,
https://brainly.com/question/10354322
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Last summer,emelian decided to measure change in a swimming pools water level each week. It was hot and dry the first week and the level decreased by 8 inches.During the second week, it rained and the water level increased by 17 inches. Model the changes as a sum of integers.
Answer:
(-8) + (+17) = -8 + 17 = 9
Step-by-step explanation:
Level of water in the first week = - 8 (the negative sign represents a decrease in inches, of the level of water)
Level of water during the second week = + 17 (the positive sign represents an increase, in inches, of the level of water).
These changes in the level of water can be modelled as sum of a positive and a negative integer as follows:
(-8) + (+17)
When adding a negative and a positive integer value, subtract the smaller value from the greater value, and retain the sign of the value that is greater.
17 is greater than 8. Therefore, subtract 8 from 17, and retain the sign of 17.
Thus:
(-8) + (+17) = -8 + 17
= 9
What is the slope of (-3,4) and (0.3)
Answer:
m=-1/3
Step-by-step explanation:
To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁
So you would have 3-4 divided by 0-(-3)
And then you would get -1/3
Answer:
-0.33333
//////Step-by-step explanation:///////
Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
How many degrees are in a half of a full turn? another dumb question lol
Answer:
180 degrees is half of a full turn 360 degrees in a full turn
Step-by-step explanation:
m² - 9m +8
(Factoring)
show steps
Answer:
I really dont know sorry love <3
Step-by-step explanation:
Which expression is equivalent to 1/4x+3−1/3x+(−2)?
Answer:
7/12x+5
Step-by-step explanation:
98*68-67+87
this is for my lady
Answer:
6684
Step-by-step explanation:
Answer:
6684
Step-by-step explanation:
(98)(68)-67+87
PEMDAS
A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
The unit price are:
$0.285 for the 10.5 ounce package
$0.272 for the 29.3 ounce package.
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Step-by-step explanation:
From the question:
A 10.5-ounce package costs $2.99.
The unit price = 1 ounce.
10.5 ounce = $2.99
1 ounce = x
10.5 ounce × x = 1 ounce × $2.99
x = 1 ounce × $2.99/10.5 ounce
x = $0.2847619048
The unit price = $0.2847619048
Approximately = $0.285
A 29.3-ounce package costs $7.98.
The unit price = 1 ounce.
29.3 ounce = $7.98
1 ounce = x
29.3 ounce × x = 1 ounce × $7.98
x = 1 ounce × $7.98/29.3 ounce
x = $0.2723549488
The unit price = $0.2723549488
Approximately = $0.272
The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.
Answer: i did this test
Step-by-step explanation:
What are the x- and y-intercepts of the graph of 5x + y = 20?
x-intercept: 16
y-intercept: 0
x-intercept: 4
y-intercept: 20
x-intercept: 5
y-intercept: 1
x-intercept: 1
y-intercept: 5
x-intercept: 4
y-intercept: 20
Answer:
Step-by-step explanation:
x-intercept: 4
y-intercept: 20
Suzy went to a department store and brought 3 pairs of shoes. The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair. The third pair of shoes were $5 more than the first pair. She paid with a $100 bill and got $3 in change. How much did each pair of shoes cost?
Answer:
Cost of first pair shoe = a = $23
Cost of second pair shoe = b = $46
Cost of third pair shoe = c = $28
Step-by-step explanation:
Let
Cost of first pair shoe = a
Cost of second pair shoe = b
Cost of third pair shoe = c
The first pair of shoes were not too expensive, but the second pair was twice as much as the first pair.
b = 2a......... Equation 1
The third pair of shoes were $5 more than the first pair.
c = a + 5...... Equation 2
She paid with a $100 bill and got $3 in change.
a + b + c = $100 - $3
a + b + c = 97........... Equation 3
Substitute 2a for b and a + 5 for c in Equation 3
a + 2a + a + 5 = 97
4a = 97 - 5
4a = 92
a = 92/4
a =$23
The cost of the first pair of shoe = $23
b = 2a......... Equation 1
b = 2($23)
b = $46
The cost of the second pair of shoe = $46
c = a + 5...... Equation 2
c = $23 +$5
c = $28
The cost of the third pair of shoe = $28
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
ΔABD ≅ ΔCDB
Step-by-step explanation:
Since a = 3, we can sub 3 into the expressions and then get a value for each side length.
AB: 3 + 7 = 10
BC = 16
CD: 12 - 2 = 10
DA: 18 - 2 = 16
Hence:
AB = CD (both have sidelengths of 10)
AD = CB (both have sidelengths of 16)
BD = BD (common line)
Therefore: ΔABD ≅ ΔCDB Q.E.D.
* + 86
* + 106
Can you please help
Answer:x=20
Step-by-step explanation:
Answer:
I think is x=-20
I might have calculated wrong
How do you find the endpoint?
Answer:
Step-by-step explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0.
Find two numbers if their ratio is 9:11 and their difference is 6.
Answer:
Step-by-step explanation:
27,33
9*3 is 27
11*3 is 33
33-27 is 6
i only have one, sorry!
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
The way I've done it, there isn't a second pair.
I suppose you could do it this way.
9/11 = -27/-33
-27 - - 33 = 6
So the second pair could be
(-27, - 33)
What is the slope of y=-1/2x+3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.