Answer:
See below
Step-by-step explanation:
h^2 - 5h = 84
h^2 - 5h - 84 = 0
Solve for p: -3p + 2 > 5
To solve these types of problems:
⇒ just solve like a regular algebraic equation
⇒ with an inequality sign in the middle
Let's solve:
[tex]-3p + 2 > 5\\-3p > 3[/tex]
whenever there is any division/multiplication⇒ must change the inequality sign to face the other direction
[tex]-3p > 3\\p < -1[/tex]
Answer: p < -1
Hope that helps!
Answer:
p < -1
Step-by-step explanation:
-3p + 2 > 5
subtract 2 from both sides
-3p + 2 - 2 > 5 - 2
-3p > 3
divided both sides by -3 to get p alone
-3p / -3 > 3 / -3 reverse the inequality
p > -1
2. A function fis given by f: x→ 5x-8, where x € R. Find
a. f(-4)
b. the value of x whose image is 12
Answer:
a. -28b. 4Step-by-step explanation:
f: x→ 5x-8
a. f(-4) = 5(-4) - 8 = -20 - 8. = -28
b. the value of x whose image is 12
To find the value of x ,we have to solve f(x) = 12
f(x) = 12
⇔ 5x-8 = 12
⇔ 5x = 12 + 8
⇔ 5x = 20
⇔ x = 20 ÷ 5 = 4
Line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate of 2 and point L has a coordinate of 8. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.
5/8
25/64
15/64
8/15
Answer:
25/64Step-by-step explanation:
consider the events F and S :
F : «the first point is placed on JL»
S : «the second point is not placed on KL»
F∩S : «a point on JM is placed first on JL and a second point is not placed on KL»
[tex]p\left( F\right) =\frac{JL}{JM} =\frac{10}{16} =\frac{5}{8}[/tex]
[tex]p\left( \overline{S} \right) =\frac{KL}{JM} =\frac{6}{16} =\frac{3}{8}[/tex]
[tex]\Longrightarrow p\left( S\right) =1-p\left( \overline{S} \right) =1-\frac{3}{8} =\frac{5}{8}[/tex]
[tex]p\left( F\cap S\right) =p\left( F\right) \times p\left( S\right) =\frac{5}{8} \times \frac{5}{8} =\frac{25}{64}[/tex]
Sheena needs 1 3/4 cups of sugar to make pancakes. she already has 5/8 cups of sugar. how much more does she need?
Answer:1 1/8
Step-by-step explanation:
1 3/4 = 1 6/8
1 6/8 = 14/8
14/8-5/8=9/8
9/8=1 1/8
hope this helped!
there are 20 students 15 men and 5 women in a maths class,in how many different ways can a committee of 3 men and 2 women be choosen
[tex]\displaystyle\\\binom{15}{3}\cdot\binom{5}{2}=\dfrac{15!}{3!12!}\cdot\dfrac{5!}{2!3!}=\dfrac{13\cdot14\cdot15}{2\cdot3}\cdot\dfrac{4\cdot5}{2}=13\cdot7\cdot5\cdot2\cdot5=4550[/tex]
A box has candies in it: are taffy, are peppermint, and are caramel. (Each candy falls into only one of these categories.) Brian wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is taffy and the second candy is caramel?
Do not round your intermediate computations. Round your final answer to three decimal places.
Probability that the first candy selected is taffy and the second candy is caramel is 0.144.
The data missing in the question is
A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy.
What is Probability ?Probability can be defined as the study of likelihood of an event to happen.
It has a range of 0 to 1.
Probability is the ratio of the expected outcomes / total coutcome.
Total outcomes = 18
The probability that the first candy is taffy is 11/18
Now as there is no replacement , the total outcomes can be 17
The probability that the second candy is caramel is 4/17
Probability that the first candy selected is taffy and the second candy is caramel = (11/18)(4/17)
= 0.144
Therefore the Probability is 0.144
To know more about Probability
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(OAU
29 Mike knows that (3,6.5) and (4,17.55) are points on the graph of an exponential function, g(x), and
he wants to find another point on the graph of this function.
First, he subtracts 6.5 from 17.55 to get 11.05.
Next, he adds 11.05 and 17.55 to get 28.6.
He states that (5,28.6) is a point on g(x).
Is he correct? Explain your reasoning.
Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect
How to determine if he is correct?The points are given as:
(3,6.5) and (4,17.55)
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Using the given points, we have the following equations:
[tex]ab^3 = 6.5[/tex]
[tex]ab^4 = 17.55[/tex]
Divide both equations:
[tex]ab^4 \div ab^3 = 17.55 \div 6.5[/tex]
Evaluate
b = 2.7
Substitute b = 2.7 in [tex]ab^3 = 6.5[/tex]
[tex]a * 2.7^3 = 6.5[/tex]
Solve for a
[tex]a = \frac{6.5}{2.7^3}[/tex]
Substitute [tex]a = \frac{6.5}{2.7^3}[/tex] and b = 2.7 in [tex]y = ab^x[/tex]
[tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]
His point (5,28.6) means that:
x = 5 when y = 28.6
Substitute x = 5 in [tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]
[tex]y = \frac{6.5}{2.7^3} * 2.7^5[/tex]
Evaluate
y = 47.385
y = 47.385 and y = 28.6 are not the same
Hence, Mike's claim is incorrect
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Express the statement as an inequality.
(a) x is negative.
x ≥ 0
x > 0
x < 0
x = 0
x ≤ 0
(b) y is nonnegative.
y < 0
y ≥ 0
y = 0
y ≤ 0
y > 0
(c) q is less than or equal to .
q <
q ≤
q >
q =
q ≥
(d) d is between 2 and 1.
1 ≤ d ≤ 2
d < 1 < 2
2 ≥ d ≥ 1
1 < d < 2
1 < 2 < d
(e) t is not less than 5.
t ≥ 5
t > 5
t = 5
t < 5
t ≤ 5
(f) The negative of z is not greater than 3.
z ≤ −3
−z ≤ 3
z < 3
−z < 3
z ≤ 3
(g) The quotient of p and q is at most 6.
p/q < 6
p/q = 6
p/q > 6
p/q ≤ 6
p/q ≥ 6
(h) The reciprocal of w is at least 9.
1/w < 9
1/w ≥ 9
1/w ≤ 9
1/w > 9
1/w = 9
(i) The absolute value of x is greater than 6.
|x| ≥ 6
|x| ≤ 6
|x| = 6
|x| > 6
|x| < 6
The expression of the inequality word problems for each question is; As expressed below
How to express inequalities?A) x is negative. This can be expressed as;
x < 0
B) y is non-negative. This can be expressed as;
y > 0
C) q is less than or equal to is expressed as; q ≤
D) d is between 2 and 1 is expressed as 1 < d < 2
E) t is not less than 5 is t ≥ 5
F) The negative of z is not greater than 3 is expressed as;
−z ≤ 3
G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6
H) The reciprocal of w is at least 9 is 1/w ≥ 9.
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Solve the equation for x.
√x+5 -1 = 2
Answer:
Step-by-step explanation:
Equation
√(x + 5) - 1 = 2 I take it that you want the 5 to be with the x.
Solution
√(x + 5) - 1 = 2 Add 1 to both sides
√(x + 5) - 1 +1 = 2 + 1 Combine
√(x + 5) = 3 Square both sides
√(x + 5)² = 3² Combine
x + 5 = 9 Subtract 5 from both sides
x + 5- 5 = 9- 5
x = 4
Answer x = 4
A bag contains 15 red candies, 15 yellow candies, and 15 blue candies. What is the probability of randomly
choosing two candies of the same color, without replacement?
[tex]|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%[/tex]
Jannet walked 1 2/3 of a mile and her brother jamie walked 2 4/5 of a mile. How much did they walk all together
Answer:
4 7/15 miles
Step-by-step explanation:
1 2/3 + 2 4/5
Make alike denominators by multiplying 1 2/3 by 5 and 2 4/5 by 3
1 10/15 + 2 12/15 = 3 22/15
4 7/15 miles altogether that was walked
Give brainliest please!
Hope this helps :)
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The question is incomplete:
The complete question is:
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?Why do you think they are or are not exactly the same?What did you learn from developing this presentation?
We are assuming the length of one side x:
x = 18 cm
Length of other side y:
y = 15 cm
And length of the hypotenuse z:
z = 23.5 cm
From the Pythagoras theorem:
z² = x² + y²
z² = 18² + 15²
z² = 549
z = √54 = 23.43 cm
The measure of hypotenuse is:
Using ruler: x = 25.5 cm
Using formula: x = 23.43 cm
They are not equal due to the reading in the ruler.
The formula can be used to in the real life problems as well.
Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
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Multiply and express as a mixed fraction
6 × 2 1/9
Answer should be 12 ⅔
I need method
Please answer correctly
Multiply and express as a mixed fraction
6 × 2 1/9
Find the value of x.
5+x=7
x = [?]
Answer:
x = 2Step-by-step explanation:
Find the value of x.
5+x=7
x = [?]
5 + x = 7
x = 7 - 5
x = 2
----------------check
5 + 2 = 7
7 = 7
the answer is good
6 kids play a tennis game. Each play each other once. How many games did they play altogether
what is the range of exponential function f(x)=9*2^x
Answer:
uhm smhtn
Step-by-step explanation:
i really just want points.
Answer:
(0,infinity)
Step-by-step explanation:
.
8 3/8 + 3 3/8 + 2 3/8 + 3/8
what is the answer of this ?
The simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have an expression:
[tex]= 8 \dfrac{3}{8} + 3 \dfrac{3}{8} + 2 \dfrac{3}{8} + \dfrac{3}{8}[/tex]
After simplification:
[tex]= \dfrac{67}{8} + \dfrac{27}{8} + \dfrac{19}{8} + \dfrac{3}{8}[/tex]
[tex]= \dfrac{67+27+19+3}{8}[/tex]
= 116/8
= 29/2
[tex]= 14\dfrac{1}{2}[/tex]
Thus, the simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.
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Answer:
i dont understand your question
Step-by-step explanation:
Find the missing side of this right
triangle.
30
X
[?]
X = 1
Enter the number that belongs in the green box.
Answer:
see the attachment photo!
Can someone please explain how the answer to this is, "19 and 3", "1 and 12"
Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18, 19.
What are Alternate Exterior Angles?These are known to be the Alternate exterior angles that are regarded as the pair of angles found on the outer side of the two parallel lines but they are seen on the opposite side of the transversal.
Note that in the image given, there are two parallel lines and two transversal lines.
Note also that to get the Alternate exterior angles, it has to be the angles seen on the seen on the opposite side of the transversal that has crossed the parallels lines and from the image given, only angle 1, 2, 3, 4,13,14, 18, 19 fit into the description.
Therefore, Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18 19.
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Help ASAP! Please this is hard!
i will mark as brainiest
If two triangles are similar, then their side lengths are proportional.
RS / JK = RT / JL
5 / x = 4 / 7
4x = 35
x = 35/4 = 8.75
RT / JL = TS / LK
4 / 7 = 6 / (y + 2)
42 = 4(y + 2)
42 = 4y + 4
4y = 38
y = 38/4 = 9.5
LK = 9.5 + 2 = 11.5 cm
JK = x = 8.75
Hope this helps!
11+22+33+44+55+66+77+88+99+110+220+330+440+550+660+770+880+990+1110=
Answer:
6545
Step-by-step explanation:
i spent time on this. i had to type out everything. by. hand.
see calculator image for proof. enjoy.
Answer: 6,555 im good at trig and using the pythagorean therum
Step-by-step explanation: brainliest?
pls help, thank you!!
Answer: 1, 3
For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.
L=24 B=12 area=______
Perimeter=_______
Answer:
Area= 288
Perimeter= 72
Step-by-step explanation:
In order to get the area of a rectangle, you multiply the length by the width, 24x12=288.
In order to find the perimeter just add all of the sides, there are 2 sides with a length of 24, and two sides with a width of 12.
24+24+12+12=72
Which smallest number is subtracted from the number 12675 to make it a perfect square?
Solve the radical equation.
√x+3-1= x
Answer:
x = 1
Step-by-step explanation:
Radical expression:
√(x+3)-1 = xLet's find the value of x.
Solved:
√(x+3)-1 = x
Transpose -1 to RHS:
=> √(x+3) = x+1Squaring both LHS and RHS,we have:
=> √(x+3)^2= (x+1)^2 => x+3 = x²+2x+1Subtracting x^2+2x+1 from both sides,we have:
=>x+3−(x²+2x+1)=x²+2x+1−(x²+2x+1)=> −x^2−x+2=0Factoring LHS,we have:
=>(−x+1)(x+2)=0Setting (-x+1) = 0 and (x+2) = 0 each time:
=>(-x+1) = 0=> x-1 = 0=> x = 0+1=> x=1Now
=> (x+2) = 0=> x= 0-2=> x = -2There are two solutions– (1,-2)
Let's plug to the given equation to check.
x = 1 :√(x+3) -1 = x
√(1+3)-1 = 1√4 - 1 = 12 - 1 = 11 = 1Equation is true,when plugged to x = 1.
x = -2:√(x+3) -1 = x
√(2+3) - 1 = -2√5 -1 = -22.23606 - 1 = -21.236 = -2Equation is false,when plugged to x = -2.
Hence,the value of x is 1.
-Regards,Hannah
1/2 inch represents a distance of 1/8 mile.her house is two miles away from school
Answer:
1/6
Step-by-step explanation:
the answer is 1/6th use subtraction
Pls help meee!!!!!!!!!
Answer:
IT IS 40
Step-by-step explanation:
oh my gosh I spent forever on this
ok so we want both equations answers to match since the angles are congruent
So I started at three and of course that was wrong
the way I got 40 was by increasing "x"
and then looking at the difference at both equations answers
for example 36
36x3= 108 -10 =98 and 36 x 2 = 72 +30= 102
so 102-98=4 so I knew I was getting close because we want the difference to be zero
so yeah I made my way up to forty and got it
hope that helps!
Which figure are shown in the diagram? Select three options
Line cd
Point d
Ray cd
Segment cd
Answer:
=Line cd
=Point cd
=Segment cd
Umberto plants a garden with an area of 16 square feet. What is the area of the garden in square inches
Answer:
2,304 inches
Step-by-step explanation:
1 square foot = 144 square inches
16 x 144 = 2,304 square inches