Answer:
x ≤ -9 and x ≤ 5
Step-by-step explanation:
2x² + 4x - 85 ≤ -4x +5
2x² + 8x - 85 ≤ 5
2x² + 8x - 90 ≤ 0
x² + 8x -180 ≤ 0
(x + 18)(x - 10) ≤ 0
(x + 9)(x - 5) ≤ 0
x + 9 ≤ 0
x ≤ -9
x - 5 ≤ 0
x ≤ 5
Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1
Answer:
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
Step-by-step explanation:
x^2 + 5x + 6 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]
[tex] x = \dfrac{-4}{2} [/tex] or [tex] x = \dfrac{-6}{2} [/tex]
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
PLEASE HURRY!! WILL GIVE BRAINLIEST
In the space below, use the law of sines or trigonometric ratios to find each length. Round your answer to 1 decimal place. (4 points total: 1 point each)
a. The length of the zip line, z
b. The height of the point on the tree where the top of the ladder rests against it, h
c. The distance between the base of the ladder and the base of the tree, b
d. The distance between the base of the tree and the spot where the zip line is anchored to the ground, B
Trigonometric ratios are useful in calculating the side lengths of a triangle.
The length of the zip line is 222.5 ftThe height where the ladder rests against the tree is 38.6 ftThe distance between the base of the ladder and that of the tree is 10.4 ftThe distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft(a) Length, z
First we calculate (h) using the following sine ratio
[tex]\mathbf{sin(75) = \frac{h}{40}}[/tex]
Make h the subject
[tex]\mathbf{h = 40sin(75)}[/tex]
Next, we calculate (z) using the following sine ratio
[tex]\mathbf{sin(10)= \frac{h}{z}}[/tex]
Make z the subject
[tex]\mathbf{z= \frac{h}{sin(10)}}[/tex]
Substitute [tex]\mathbf{h = 40sin(75)}[/tex]
[tex]\mathbf{z= \frac{40sin(75)}{sin(10)}}[/tex]
[tex]\mathbf{z= 222.5 ft}[/tex]
Hence, the length of the zip line is 222.5 ft
(b) The height, h
In (a), we have
[tex]\mathbf{h = 40sin(75)}[/tex]
Evaluate
[tex]\mathbf{h = 38.6}[/tex]
Hence, the height where the ladder rests against the tree is 38.6 ft
(c) The distance, b
To do this, we make use of the following sine ratio
[tex]\mathbf{sin(15) = \frac{b}{40}}[/tex]
Make b the subject
[tex]\mathbf{b = 40sin(15)}[/tex]
[tex]\mathbf{b = 10.4}[/tex]
Hence, the distance between the base of the ladder and that of the tree is 10.4 ft
(d) Distance, B
To do this, we make use of the following sine ratio
[tex]\mathbf{sin(80) = \frac{B}{z}}[/tex]
Make B the subject
[tex]\mathbf{B = z\ sin(80)}[/tex]
Substitute [tex]\mathbf{z= 222.5 ft}[/tex]
[tex]\mathbf{B = 222.5\ sin(80)}[/tex]
[tex]\mathbf{B = 219.1}[/tex]
Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
Read more about trigonometry ratios at:
https://brainly.com/question/24888715
What is 4 times 4 and 5555 times 8999989
Answer:
4 *4 = 16
16 * 5555 = 88880
88880 * 8999989 = 799919022320
Brainliest :D
Step-by-step explanation:
Answer:
49994938911
Step-by-step explanation:
(4times4)(5555times8999989)
¿Qué es y cómo se forman un enlace químico?
Sue's paycheck is $1,040 for 40 hours of work. If she works 30 hours next week, what will her paycheck be?
Answer: 780
Step-by-step explanation:
1040/40 = 26
If Sue's paycheck contains $1,040 for 40 hours then she gets pay $26 for a hour.
26(30) = 780
To find what her paycheck consist of within 30 hours, you'll multiply 26, the amount she make an hour by 30, hours and you'll get 780.
This density curve represents the amount of time students spend waiting for their morning bus to school.
if the median of the density curve is 1.5, which value could be the mean of the density curve?
(B) - μ = 2.5
(the answer)
Answer:
B
Step-by-step explanation:
e2020
Rewrite the linear equation in the form y = mx + b.
x + 2y = -8
nonsense answers will be reported.
Literal equations ….
Answer:
c - 215/5 = p
Step-by-step explanation:
[tex]c = 5p + 215 \\ - 215 \: \: - 215 \\ \frac{c - 215}{5} \: \: \: \: \: \frac{5p}{5} \\ \\ \frac{c - 215}{5} \: = \: p[/tex]
Hope this helps! Brainliest would be appreciated!
Answer:
[tex]p=\frac{c - 215}{5}[/tex]
Step-by-step explanation:
Hello!
Solve for p[tex]c = 5p + 215[/tex]Subtract 215 from both sides
[tex]c - 215= 5p[/tex]Divide both sides by 5
[tex]\frac{c - 215}{5} = p[/tex]The solution for p is [tex]p=\frac{c - 215}{5}[/tex]
Is this the correct sum, be honest pls.
Answer:
the answer is B. the sum will be close to ½
½= 14/28
1/4 + 2/7
= (7+8)/28
= 15/28
so, the answer is B
Step-by-step explanation:
hope it helps you
brainliest plz
Given: ΔABC ≅ ΔMNP. What is the corresponding angle to ∠A A. ∠B B. ∠N C. ∠M D. ∠P
Answer:
C. ∠M
Step-by-step explanation:
Answer:
C. < M
Step-by-step explanation:
Congruent triangle notations are written in order of their corresponding parts.
For ΔABC ≅ ΔMNP we have angle A corresponding to angle M
Δ A B C ≅
↓ ↓ ↓
Δ M N P
Write a function rule that represents b less than 8 is a.
A. b-8=a
B. 8-b=a
C. a=b-8
D. a=b+8
Answer:
Step-by-step explanation: b-8=a
If x varies directly as y,and x=18x=18when y=3.6,what is x when y=12
Answer:
x = 60
Step-by-step explanation:
Write an equation using the ratio between x and y:
18/3.6 = x/12 Multiply both sides by 12:
216/3.6 = x
60 = x
The slope is negative in the graph as you move from left to right the line of the graph is going
Answer:
Down
Step-by-step explanation:
The line slants downward from left to right if the slope is negative.
Im not sure what method is best used to solve these types of inequalities.
Answer:
There is no specific method you can solve it as you like
Step-by-step explanation:
you can do it as a normal equation first get rid of the (x-9) by multiplying the whole radical by x-9/x-9, then you will get rid of the x-9 down and you will have (x-9) . (x+6) . (x-1) [tex]\leq[/tex] 0 then multiply them together and solve it normally. Also dont forget to do the check part :)
If you need further help comment down :)
Answer:
I would say solve for the x value
Step-by-step explanation:
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
9514 1404 393
Answer:
3.5 hours
Step-by-step explanation:
The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...
time = distance/rate
time = (280 mi)/(80 mi/h) = 3.5 h
The two cars will be 280 miles apart after 3 1/2 hours.
Calculate the quotient of 54256/45 round to the nearest tenth
Answer:
3.4
Step-by-step explanation:
will 3.4 is is rounded of 54256 in decamal
a. Exactly 117.125 b. Correct to 2 significant figures c. Correct to 2 decimal places d. In standard form
Answer:
b) 11
c)117.12
1.1×10^2
Those are my answer that try
Swimming Pool On a certain hot summer's day, 492 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1060.00. How many children and how many adults swam at the public pool that day?
There were ______ children at the public pool.
Answer:
# of children = 170, # of Adults = 492 - 170 = 322
Step-by-step explanation:
Define C and A as
C = # of children
A = # of adults
Then,
A + C = 492
1.5C + 2.5A = 1060, so that
1.5C + 2.5(492 - C) = 1060
1.5C + 1230 - 2.5C = 1060
-C = 1060 - 1230
C = 170
How do you write 0.8 as a percentage?
Answer:
.8 equals 80%
Step-by-step explanation:
To find the percentage you multiply the decimal by 100 so .8 multiplyed by 100 equals 80 or 80%
−4 1/3 ÷ (2 3/5)
For brainliest :3
Answer:
lskzjkkzjzbzniziakanzjs
Answer:
-5/3
Step-by-step explanation:
change numbers into fractions
KCF(keep change flip)
simplify
yeeeeeeeeeeeeetaco avatar
yeeeeeeeeeeeeetaco
05/08/2021
Mathematics
High School
answered
Alex has some marbles.
Billie has three times as many marbles are Alex.
Chris has 9 fewer marbles than Billie.
In total they have 68 marbles.
How many marbles does Alex have?
can you say me from which cource is this
What is the coefficient of 5(-t)
HELPPP
Answer:
-5
Step-by-step explanation:
Here are the steps to take in calculating the correlation coefficient:
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Highest common factor of 32,48,72
Answer:
8
Step-by-step explanation:
32 = 2 x 2 x 2 x 2 x 2
48 = 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
HCF ( 32, 48, 72 )
= 2 x 2 x 2
= 8
someone plz help me asap I will make you brainlist
A car dealer will sell you a used car for $6,898 with $798 down and payments of $169.51 per month for 48 months. What is
the APR? (Round your answer to the nearest tenth of a percent.)
%
Answer:
d
Step-by-step explanalime boba no other
The lengths of the worms (in inches) are listed here.
Which line plot shows this data?
Answer:
Top Left
Step-by-step explanation:
The numbers all coordinate to that plot
Answer:
Plot #1Step-by-step explanation:
The easy way is to look for exceptions. The first and last plots missing 7/8 and same with data set.
There are 4 1's in the set which is correct with the first plot.
PLS HELP
Worth 20 Points
Easy
I will give brainilest
Answer:
x-axis
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Jake needs to buy 120beverages for a party. What equation, in standard form, determines the number x of 8-packs of juice and the number y of 12-packs of water Jake can buy?
8x+12y=120
8 packs -> x value
12 packs -> y value
-------------------------------
total amt. of beverages is 120
Which is the greatest fraction? 1/3 , 1/4 , 2/4 , 3/8
Answer:1/4 < 1/3 < 3/8 < 2/4 Hope that helps!:)
Step-by-step explanation:
Rewriting as equivalent fractions with the LCD:
1/3 1/4 2/4 3/8
8/24 6/24 12/24 9/24
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/4 1/3 3/8 2/4
6/24 < 8/24 < 9/24 < 12/24
Therefore, the sorted inputs in order from least to greatest is:
1/4 < 1/3 < 3/8 < 2/4
Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.
The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.
For any function to have a maximum, the differential of the function must be equal to zero.
If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.
For the function [tex]f(x)=-(m+x)^2[/tex]
[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]
Since the value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]
Learn more here: https://brainly.com/question/12185438