Answer:
[tex]g(-3)=7[/tex]
[tex]g(0)=7[/tex]
[tex]g(5)=\dfrac15[/tex]
Step-by-step explanation:
[tex]g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\\dfrac{1}{x} & \text{if } x > 0\end{cases}[/tex]
This means:
when x is equal to zero or less than zero, g(x) will always be 7.when x is more than zero, g(x) is [tex]\frac{1}{x}[/tex][tex]\implies g(-3)=7[/tex]
[tex]\implies g(0)=7[/tex]
[tex]\implies g(5)=\dfrac15[/tex]
[tex]\sf\f(x)=\grey{\begin{cases}\rm 7\quad ,x\geqslant 0\\ \rm \dfrac{1}{x}\quad ,x>0\end{cases}}[/tex]
So
-3,0 ≤05>0Hence
g(-3)=g(0)=7g(5)=1/5Lisa used 6 2/3 feet of rope to make a jump rope. She also used 4 1/5 feet of rope to make a leash for her dog. Which expression could be used to determine the amount of rope, in feet, that lisa used? (A) 10+2 /15 (B) 10+3/8 (C) 6+4+10/15+3/15 (D) 6+4+3/15+3/15
Answer:
(C) 6+4+10/15+3/15
Step-by-step explanation:
2/3=10/15
1/5=3/15
6+4+13/15
10 13/15
A watermelon has a mass of 2.4 kg. What is the mass expressed in g or mg?
Answer:
yea im a bosss yea
Step-by-step explanation:skrrt do your work dont cheat
helpppp will give brainlistdhd
Answer:
S18 = 288
Step-by-step explanation:
find the first and last term.
n = 1
a1 = 2 x 1 - 3
a18 = 2 x 18 - 3
(simplify the expression)
a1 = -1
a18 = 33
(use the formula for the sum of a finite arithmetic series)
a1 + a18
S18 = 18 x ---------------------
2
(use the substitute) substitute -1 for a1 and 33 for a18
-1 + 33
S18 = 18 x ---------------------
2
simplify the expression and ur done hope this helped x
ps. wheres my head :)
Help and show work please I beg u!
DOES ANYONE KNOW HOW TO SOLVE THIS? EXPLANATION IS MUCH NEEDED!!!
Solve for x in the equation x squared 14 x 17 = negative 96.
The value of x in the given quadratic equation is determined as -7 ± 8i.
Solution of the quadratic equationThe solutiion to the linear equation is determined as follows;
x² + 14x + 17 = -96
x² + 14x + 17 + 96 = 0
x² + 14x + 113 = 0
solve the equation using formula method;
a = 1, b = 14, c = 113
[tex]x = \frac{-b \ \ \pm\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{- 14\ \ \pm\sqrt{(14)^2 - 4(1\times 113)} }{2(1)} \\\\x = \frac{- 14\ \ \pm\sqrt{-256} }{2}\\\\x = \frac{- 14\ \ \pm\sqrt{256} \times \sqrt{-1} }{2}\\\\x = \frac{-14 \ \ \pm 16 \times i}{2} \\\\x = -7 \pm 8i[/tex]
Thus, the value of x in the given quadratic equation is determined as -7 ± 8i.
Learn more about quadratic equation here: https://brainly.com/question/1214333
Answer:
-7 ± 8i.
Step-by-step explanation:
I took the test
4. Which condition would not prove
KML~JNL?
The endpoints of a
diameter of a circle are (2,
4) and (-4, 7). What is the
standard form of the
equation
of this circle?
I know one of the answer is not c
Hurry i got like 30 mins left and a girl is tired
Answer:
2nd option
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
the centre is at the midpoint of the endpoints of the diameter.
The coordinates of the centre is the average of the coordinates of the endpoints.
centre = ( [tex]\frac{-4+2}{2}[/tex], [tex]\frac{7-1}{2}[/tex] ) = ([tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )
the radius is the distance from the centre to either of the endpoints
using the distance formula to calculate r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]
with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (2, - 1 )
r = [tex]\sqrt{(2-(-1))^2+(-1-3)^2}[/tex]
= [tex]\sqrt{(2+1)^2+(-4)^2}[/tex]
= [tex]\sqrt{3^2+16}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
then equation of circle is
(x - (- 1) )² + (y - 3)² = 5² , that is
(x + 1)² + (y - 3)² = 25
1 .
a. Solve by elimination method.
x+y = 6 ; 2x - y = 3
b. Solve by substitution method.
2x - y = 7 , y = 3x
c. Solve
x^2 +(1 /16 ) = x / 2
2 . Factorize
a. a^2 - 2a - 2b - b^2
b. a^4 - 3a^2 + 1
Answer:
1a. x=3 y=3
1b. x=-7 y=-21
1c. x=¼
2a. a(a-2)-b(2+b)
2b. a²(a²-3)+1
Step-by-step explanation:
a .
x + y = 6
+
2x - y = 3
3x = 9
3x/3 = 9/3
x = 3
x + y = 6
y = 6 -x
y = 6 - 3
y = 3
b.
2x - y = 7
+
y = 3x
2x = 3x + 7
2x - 3x = 7
x = -7
y = 3x
y = 3(-7)
y = -21
c.
[tex] {x}^{2} + \frac{1}{16} = \frac{x}{2} [/tex]
[tex] {x}^{2} + \frac{1}{16} - \frac{x}{2} = 0[/tex]
[tex]16( {x}^{2} - \frac{x}{2} + \frac{1}{16} ) = 0[/tex]
[tex]16 {x}^{2} - 8x + 1 = 0[/tex]
[tex](4x - 1)(4x - 1) = 0[/tex]
[tex]x = \frac{1}{4} [/tex]
2.
a.
[tex] {a}^{2} - 2a - 2b - {b}^{2} [/tex]
[tex]a(a - 2) - b(b + 2)[/tex]
Which expression is equivalent to startfraction 3 x over x 1 endfractiondivided by x 1?
The expression that is equivalent to [3/(x + 1)] ÷ 1/(x + 1)] after simplification is gotten as; 3
How to simplify fractions?We want to simplify the expression;
[3/(x + 1)] ÷ 1/(x + 1)]
This fraction expression will be re-expressed as;
[3/(x + 1)] * (x + 1)/1
x + 1 will cancel out to give us the expression as;
[3/(x + 1)] * (x + 1)/1 = 3
Read more about simplification of fractions at; https://brainly.com/question/6109670
Answer:
Step-by-step explanation:
c
Calculate the area of a square with side length 12 cm
Answer:
144 cm^2
Step-by-step explanation:
A square has equal sides, and so if one side is 12 cm, so are the rest.
So 12 * 12 = 144.
Answer:
c
Step-by-step explanation:
One morning, Justin drove 2 hours before stopping to eat lunch. After lunch, he increased his speed by 10 mph. If he completed a 220-mile trip in 6 hours of driving time, how fast (in miles per hour) did he drive in the morning
Answer:
30
Step-by-step explanation:
Let x be his speed at the morning, in miles per hour.
Then his speed after lunch was (x+10) mph.
2x + 3(x+10) = 220.
2x + 3x + 50 = 220
6x25-40=? pls no wrong answers
Answer:
6 x 25 = 150-40=110
Step-by-step explanation:
It's right I promise you
a. Subtraction Property of Equality
b. Addition Property of Equality
c. Division Property of Equality
d. Multiplication Property of Equality
Answer:
The correct answer would be option A; Subtraction Property of Equality
Step-by-step explanation:
This is because you are subtracting 3 on both sides of the equation to go from;
x + 3 = 17
to
x = 14
Hope this helps!
Joe borrowed 2000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5years
Please solve this with explanations!
Answer:
D. -2x - 8
Step-by-step explanation:
1) Simplify 1/3(6x+15) to 6x+15/3
-6x+15/3 - 3
2) Factor out the common term 3.
-3(2x+5)/3 - 3
3) Cancel 3.
-(2x+5)-3
4) Remove parentheses.
-2x-5-3
5) Collect like terms.
-2x+(-5-3)
6) Simplify
-2x-8
Find the unknown length of the side labeled x.
Answer:
8.66
Step-by-step explanation:
because when you know the long leg you multiply 3 square root by the long leg in this case 5
Please help me with this. I need to solve for x.
4ln(7x+3)+12=40
Answer:
[tex]x=\frac{e^7-3}{7}[/tex]
Step-by-step explanation:
4* ln(7x+3) + 12 = 40
4* ln(7x+3) + 12 - 12 = 40 - 12
4* ln(7x+3) = 28
ln(7x+3) = 28/4
ln(7x+3) = 7
e^7 = (7x + 3)
e^7 - 3 = 7x
[tex]x=\frac{e^7-3}{7}[/tex]
You are one of 22 people whose name will be drawn for a prize. What is the probability that your name will be drawn first? Express your answer as a fraction.
Answer:
1/22
Step-by-step explanation:
Its 1/22 because that is the total probability of your name being drawn for the prize
For which value of x is the equation 2(1+x)=x+3
Is 2.67034165508… rational or unrational?
Answer:
Unrational
Step-by-step explanation:
Step 1: Determine what is rational and unrational
"A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number."
Step 2: Now determine what our number fits into
Since our decimal isn't a whole number, isn't a fraction, and it is a decimal that continues to either repeat or just continues. Therefore, our number would fit into the unrational category. If our number is just 2.67034165508 then it would be a rational number since it ends. However, since we have the ... at the end that means that it continues and therefore falls into the unrational category.
Answer: Unrational
1. Rank the four types of insurance on this infographic from MOST important to
LEAST important (in your opinion) for a high school student to have.
My personal ranking of the insurances to have are:
Health InsuranceLife InsuranceAuto InsuranceDisability InsuranceWhat is an Infographic?This refers to the use of images, charts, graphs, etc to present information in such a way that the data used is easily identifiable.
Hence, we can see that when ranking insurance, health insurance should be higher than others (my opinion of course) because in the case of a medical emergency, treatment and care can be given.
Read more about insurance here:
https://brainly.com/question/25855858
#SPJ1
find area of the shaded portion of the figure
Answer:
[tex]\sf C) \quad 57 \frac34 \:cm^2[/tex]
Step-by-step explanation:
To find the shaded area, subtract the area of the semicircle from the area of the rectangle.
Formulae
[tex]\textsf{Area of a rectangle}=\textsf{width} \times \textsf{length}[/tex]
[tex]\textsf{Area of a semicircle}=\dfrac12 \pi r^2 \quad \textsf{(where r is the radius)}[/tex]
[tex]\textsf{Diameter of a circle}=2r \quad \textsf{(where r is the radius)}[/tex]
Area of rectangle
Given dimensions of the rectangle:
width = 7 cmlength = 11 cmSubstituting these values into the formula:
[tex]\implies \textsf{Area}=\textsf{7} \times \textsf{11}=77\: \sf cm^2[/tex]
Area of semicircle
Diameter of semicircle = 11 - 2 - 2 = 7 cm
⇒ Radius (r) = 7 ÷ 2 = 3.5 cm
[tex]\textsf{let}\: \pi=\dfrac{22}{7}[/tex]
[tex]\implies \textsf{Area}=\dfrac12 \left(\dfrac{22}{7}\right) (3.5)^2=19.25\: \sf cm^2[/tex]
Area of shaded region
= area of rectangle - area of semicircle
= 77 - 19.25
= 57.75
[tex]\sf =57 \frac34 \:cm^2[/tex]
what is 4/5 divided by 1/8
Answer:
6.4
Step-by-step explanation:
All ways:
Exact form:
32/5
Decimal Form:
6.4
Mixed Number Form:
6 2/5.
CANNOT BE SIMPLIFIED IN ANY WAY
Richard and Nestor create paintings. Richard creates 40 paintings in 28 days.
Nestor creates 45 paintings in 5 weeks. Who creates paintings at a faster rate?
Show your work.
Answer:
Richard
Step-by-step explanation:
40÷4 weeks(28 days)=10
Nestor:45÷5=9
The function h(x) is given in the table above.
Which of the following choices shows the
average rate of change of the function over the
interval 2 ≤ x ≤ 6?
A. 6/4
B. -3/2
C.-7/6
D. -1
Rate of change
h(6)-h(2)/6-23-9/6-2-6/4-3/2Option B
A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a 200-meter sprint in which there are 8 runners
Answer:
1320 ways
Step-by-step explanation:
an olympic event getting a gold medal is not equal to getting a silver or a bronze medal. Hence, we will use the concept of permutation for this problem as order matters here. Hence, there are 1320 ways in which 8 runners can get these 3 medals
How many times can 8 go into 51?
Answer:
6 times
Step-by-step explanation:
Answer:
8 can go into 51 six(6) times
which fraction is equivlent to 8/10
Answer:
4/5 or 16/20
Step-by-step explanation:
did my best with the info provided
Answer:
4/5
Step-by-step explanation:
8/10 = 80% 1. / the fraction by 2
4/5 = 80%
i will give 50 points
Answer:
8 home games and 10 away games
Step-by-step explanation:
Total home goals
= 8 +5 +9 +8 = 30
Number of home games
= 30/3.75 = 8
Total away game goals
= 7 + 8 + 4 + 5 = 24
Number of away games
= 24/2.4 = 10
Easy Peasy :) Hope this helped! <3 brainliest please :)
Answer:
10 away games and 8 home games
Step-by-step explanation: