Answer:
AC = 23
BD = 23
Step-by-step explanation:
ABCD is a rectangle,
AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
7x - 40 = 2x + 5
7x - 2x = 5 + 40
5x = 45
x = 45/5
x = 9
BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23
AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23
For f (x), evaluate the following:
a, f(0)
b. f(6)
Show all of your work
Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
Select all of the fractions that are equivalent to -2/3
o 2/-3
o -3/-2
o -2/-3
o - 2/3
o -3/2
o -2/2
Please helppp
Answer:
Step-by-step explanation:
⇒o 2/-3 Doesn't matter where the minus is as long as there an odd numbere of them.
o -3/-2
o -2/-3
⇒o - 2/3 This is given. Is it really listed.
o -3/2
o -2/2
There really are only 2 of them. 3/2 in any form is not equal to 2/3.
-2/2 = - 1 not -2/3
-2/-3 There are an even number of - signs. The answer is 2/3
If a population grows by 69%, what is the multiplier?
What is the value of x in the equation below?
29.46=13.82+4x
Answer:
x=3.91
Step-by-step explanation:
29.46=13.82+4x
13.82+4x=29.46
subtract 13.82 from both sides
4x=15.64
divide by 4
x=3.91
The price of a car has been reduced from $18,500 to $14,800. What is the percentage decrease of the price of the car?
Answer:
125%
Step-by-step explanation:
The role that an organism plays within the area it lives is known as its
Question 5 options:
A.Nest
B.Habitat
C.Home
D.Niche
I will report you if you try to steal my points
Answer:
D
Step-by-step explanation:
Ecology definition of niche
Which of the following expressions are undefined? CHOOSE ALL THAT APPLY
A. 6/0
B. 5/0
C. 6/5-5
Answer:
6/0, 5/0, 6/5-5
Step-by-step explanation:
You cannot divide a number by 0:
6/0 is dividing by 05/0 is dividing by 06/5-5=6/0 which is dividing by 0Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2
1
slope intercept form that represents the new line.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
y=x-2
We know that Reflecting over the x-axis inverts the sign of the y-coordinate.
Thus, after reflecting over the x-axis, the equation would be:
-y = x - 2
Now, writing the equation in the slope-intercept form
y=mx+b
where
m is the slope and b is the y-interceptso the equation in the slope-intercept form
-y = x - 2
y = -x + 2
Here,
The slope = m = -1The y-intercept = b = 216x – 20y
20y = 60
Slope intercept form
Answer:
16x=60
X=15/4
Step-by-step explanation:
Algebra 1 easy. Will give brainlest PLZ ASAP!
Answer:
2, -2
Step-by-step explanation:
just test each one
Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?
Answer:
71
Step-by-step explanation:
There are 12 inches in a foot:
12 inches x 5 feet = 60
60 + 11 inches = 71 inches total
Answer:
71 inches
Step-by-step explanation:
12 inches in a foot
12*5
60+11
71 inches
Hope this hopes. Have a great day. May it be filled with joy and happiness.
what is 2 (3 x+ 7)+ x =70
Answer:
6 + 1 4 + = 7 0
Step-by-step explanation:
Answer:
x = 63/4
Step-by-step explanation:
______________________
Given the quadratic equation: f(x) = x2+4x-21
What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY
[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]
These are x-intercepts form. So the answer is (x+7)(x-3).
Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.
Answer:
1 mile
Step-by-step explanation:
Step one:
given
total distance = 15miles
Jack walks at a pace of 1.5 miles per hour
after 4 hours he will cover a distance of
1.5*4= 6 miles
Jill walks at a pace of 2 miles per hour
after 4 hours he will cover a distance of
2*4= 8 miles
Step two:
The total distance jack and jill must have covered after 4 hours is
8+6= 14 miles
the distance apart will be 15-14= 1 mile
convert 18 1/10 into a decimal.
Answer:
the answer is 18.1 1/10 is the same thing as .1
m
A) 136°
C) 145°
B) 91°
D) 140°
Answer:
136° is right answer-----------------------Simplify the expression:
10t - 40 + 3t + t
Answer:
Your correct answer is 14t - 40
Step-by-step explanation:
Combine like terms:
10t + 3t + t = 14t
Since there are no other integers, just tag on the -40:
14t - 40
**please mark brainliest!!
What is 10and 1 half divided by 7 eights
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
10 1/2 / 7/8= 12
Can anyone help me please??? Almost done Thank you!!
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
Two candidates ran for class president. The candidate that won received 60% of the 380 total votes. How many votes did the winning candidate receive?
this all my points pls dont troll;-;
Answer: 228
Step-by-step explanation:
10% of 380 is 38.
The winning candidate got 60% of the votes.
So, we will multiply 38 by 6.
38 x 6 = 228
The answer to the question is 228.
If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?
Answer:
The remainder is: f(-1) = -4
Step-by-step explanation:
We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)
Given the function
[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]
It is stated that the function f(x) is divided by x + 1.
Thus, substituting x = -1 in the function to find the remainder f(-1)
i.e
f(-1) = (-1)⁴ - 5
f(-1) = 1 - 5
f(-1) = -4
Therefore,
The remainder is: f(-1) = -4
Answer:
9
Step-by-step explanation:
Richardo had saved $80 from his summer job to buy video games. He
bought 4 games and the cashier gave him $16.40 in change. If each
game cost the same amount, how much was each game?
Leave off the dollar sign in your answer.
Answer:
$15.90
Step-by-step explanation:
80 - 16.40 = 63.60
63.60÷4 =15.9
15.9 = $15.90
Diana worked on her science project for 513 hours. Gabe worked on his science project 114 times as long as Diana. Paula worked on her science project 34 as long as Diana. How long did Gabe and Paula work on their projects?
Answer:
Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
Step-by-step explanation:
It is given that,
Diana worked on her science project for 5 1/3 hours.
Gabe worked on his science project 1 1/4 times as long as Diana.
Paula worked on her science project 3/4 as long as Diana.
Solution,
ATQ,
Gabe worked for :
[tex]5\dfrac{1}{3}\times 1\dfrac{1}{4}\\\\=\dfrac{16}{3}\times \dfrac{5}{4}\\\\=\dfrac{20}{3}\ h\\\\=6\dfrac{2}{3}\ h[/tex]
Pauls worked for :
[tex]\dfrac{3}{4}\times 5\dfrac{1}{3}\\\\=\dfrac{3}{4}\times \dfrac{16}{3}\\\\=4\ h[/tex]
Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.
What is the slope of the line represented by 3x - 7y = 28?
Given that g(x) = −2x+20, find g(−3).
Answer: 26
Step-by-step explanation:
Okay, so... The new equation would be -2(-3)+20...
So follow the rule of PEMDAS, PEMDAS is;
Parentheses
Exponents
Multiplication
Division
Adding
and Subtracting
Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.
-2(-3) = 6 because a negative multiplied by a negative is a positive..
Now we have 6 + 20 which is 26, so 26 is your answer.
A family has a hybrid car that gets 40 miles per gallon (mpg) and a pickup truck that gets 17 mpg. They drive at least 500 miles per week using both vehicles but don't want to use more than 20 gallons of gas. Make a recommendation for using each vehicle. Part A Write an expression that represents the total amount of gasoline used. Then write an inequality to show the maximum amount of gasoline that the family wants to use. Define the variables and list any constraints on the variables.
Answer:
[tex]Z=x+y[/tex]
[tex]x+y<20[/tex]
Step-by-step explanation:
Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.
Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.
[tex]40x+17y\geq 500[/tex]
The expression of total amount of fuel used would be [tex]Z=x+y[/tex].
Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is
[tex]x+y<20[/tex]
I really need help plz
Answer:
I think answer is A
Step-by-step explanation:
Cause you notice time is the x and distance (meters) is the y. So 1 minute = 200 meters.
rationalise the denoninator of 1 ÷ 5 - square root of 2
Answer:
Square root2 /3
Step-by-step explanation:
1. Multiply both numerator and denominator by square root of 2.
2. Square root 2 times itself is just 2 that so denominator is 5-2
3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2
4. 5-2=3 so final answer is Square root 2 over 3
Two brothers, Michael and Alan, were in a bowling league that met once a
week. From past experiences, it is known that both brothers' scores are
approximately normally distributed where Michael has a mean score of 150
with a standard deviation of 30, and Alan has a mean score of 165 with a
standard deviation of 15. Assuming that their scores are independent, which
of the following values is closest to the probability that Michael will have a
greater core than Alan in a single game?
0.16
0.28
0.31
0.33
0.37
Answer:
The correct option is;
0.28
Step-by-step explanation:
The given parameters are;
The mean score for Michael, [tex]\bar x _1[/tex] = 150
The standard deviation, σ₁ = 30
The mean score for Alan, [tex]\bar x _2[/tex] = 165
The standard deviation, σ₂ = 15
Taking n₁ = n₂ = 1
[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Taking μ₁ - μ₂ = 0
[tex]z=\dfrac{(150-165)}{\sqrt{\dfrac{30^{2} }{1}-\dfrac{15^{2}}{1}}} \approx -0.577[/tex]
The p-value for a z-score of -0.577 from the z-table is 0.28434
Therefore, the probability that Michael, with mean score, [tex]\bar x _1[/tex] = 150 will have a greater score than Alan, with a mean score of [tex]\bar x _2[/tex] = 165 is 0.28434 ≈ 0.28
Therefore, the correct option is 0.28
Tickets for a family of 6 to go skiing cost $48. whats the unit price ?