f(x)=3x−4 Input is x=3 , Output is
3X3-4= 5
f(x)=−4x+3 Input is x=−3 , Output is
4x-3 +3 = -9
f(x)=−x−1 Input is x=−4 , Output is
-(-4-1) =-(-5) =5
f(x)=x2 Input is x=5 , Output is
5x2=10
hope it will help you
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
1. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain your reasoning.
2. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on? Explain your reasoning.
3. Diego says the expression 14 - 0.6t helps him to understand this situation. What does this expression represent, and what does the variable t stand for?
4. Write and solve an equation to determine the number of days Diego’s father can drive the car without the warning light coming on.
5. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.
Answer:
1) if he wants to do that he needs 0.6 gallons x 14 days = 8,4 gallons.
If the car starts with 14 gallons then he is able to ride 14 days without the warning light.
2) now he would need 0.6 gallons x 25 days = 15 gallons.
he only has 14 gallons so that is not possible.
3) no clue sorry
4) x= the days he can drive without the warning light
14-1,5 = 0,6.x
<=>12,5= 0,6.x
<=>20,833... = x
He can go 20 days without the warning light.
5) x= the days he can drive his car without seeing the warning light.
x.0,6<12,5
<=> x<20,833...
If he drives 20,833... days he will see the warning light so everything before that he won't see it.
Find the circumcenter of a triangle ABC with vertices at A(2, 2), B(0, -4), and C(7, -1). What is the circumcenter? 20 POINTS ILL MARK BRAINLIEST
just add up the lengths of the three sides
length of AB =
[tex] \sqrt{ {2}^{2} + {6}^{2} } [/tex]
length of BC
[tex] \sqrt{ {7}^{2} + {3}^{2} } [/tex]
length of CA
[tex] \sqrt{ {5 }^{2} + {1}^{2} } [/tex]
(yeah, it's with pythagoras)
let's sum everything up
length AB+BC+CA = 21.011
the units would just be considered as "length units" I guess
hope it helps. have a nice day.
feel free to ask questions.
and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least
Solve the system of equations 7x+3y=-37x+3y=−3 and 3x+y=13x+y=1 by combining the equations.
Answer:
ummmmmm
Step-by-step explanation:
I don't know
Can someone please help me out ~ASAP~.
Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60degrees. What is the length of the third side of the triangle?
Answer:
A) 2
Step-by-step explanation:
The law of sines is based on the proportionality of sides and angles in triangles. The law states that for the angles of a non-right triangle, each angle of the triangle has the same ratio of angle measure to sine value.
sin(A)/a=sin(B)/b=sin(C)/c
Substitute the known values into the law of sines to find a.
sin(60)/a=sin(60)/2
Please help , whoever gets right is brainly
Answer:
Try an app called connects. I cant help you with this problem but that app can. it has tutors and other things that can help.
Step-by-step explanation:
Write the equation of a line passing through (4,1) and parallel to y = 3/2x + 3.
Answer:
y = 3/2x - 5
Step-by-step explanation:
y = 3/2x + b
1 = 3/2(4) + b
1 = 6 + b
-5 = b
According to Home Water Works, the average American shower uses 17.2 gallons and lasts about 8.2 minutes. To the nearest tenth of a gallon, how many gallons will Louise use when taking a 15-minute shower? Answer in complete sentences.
ALL GIVE BRAINLY!!!
Answer:
Home Water Works says that in most homes, showers are the third-largest user of water after toilets and clothes washers. The average American shower water usage is 17.2 gallons with the average shower length being 8.2 minutes. The average flow rate is 2.1 gallons per minute.
Answer:
90.2 gallons
Step-by-step explanation:
This is because if we take 8.8 * 8.2=72.16
then we do 72.16*5 =360.8
360.8 / 4 = 90.2 gallons.
Give brainlest and have a great day
Barry drew a scale drawing of an office building. The scale of the drawing was 3
inches = 2 feet. A desk is 6 feet long in real life. How long is the desk in the
drawing?
Answer:
3inches=2feet and
Xinches=6feet so Cross multiply
2X=18 divided both sides by 2
X=9inches therefore
the answer is 9inches
Solve for X. Not drawn to scale
Answer:
[tex]x=4.02[/tex]
Step-by-step explanation:
The given triangle is a right triangle, this is indicated by the box around one of the angles, signifying that the angle is a (90) degree angle. Therefore, to solve this problem one must use trigonometric ratios. These ratios are used to describe the relationship between an angle and the sides in a right triangle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\[/tex]
Bear in mind, the names of the sides of the triangle are relative to the angle that one uses to describe it in the triangle. Therefore the (opposite) and (adjacent) sides will change depending on the angle one chooses to look at it from.
In this case, one is given the length of the side opposite the given angle. One is asked to find the measure of the side adjacent to the angle. Therefore, it would make the most sense to use the tangent (tan) ratio.
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Substitute,
[tex]tan(20)=\frac{9}{x}[/tex]
Manipulate the equation such that it is solved for (x),
[tex]x=\frac{9}{tan(20)}[/tex]
Solve,
[tex]x=4.02[/tex]
pleaseee helppp meee!!!!
Answer:
Vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Step-by-step explanation:
Vertical change of a point is the rise of the given point.
Now we have to calculate the rise of point C to B,
y-coordinate of the point C → -2.5
y-coordinate of the point B → 2
Rise from C to B = 2 - (-2.5)
= 2 + 2.5
= 4.5
Similarly, y - coordinate of point A → 2
y - coordinate of point D → -2
Vertical change or rise = -2 - 2
= -4
Therefore, vertical change of point C to B = 4.5
Vertical change of point A to D = -4
solve inequality for x : -46 - 8x > 22
Answer:
x < -17/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-46 - 8x > 22
Step 2: Solve for x
[Addition Property of Equality] Add 46 on both sides: -8x > 68[Division Property of Equality] Divide -8 on both sides: x < -17/2Answer: x < −17/2
Step-by-step explanation:
Let's solve your inequality step-by-step.
−46 − 8x > 22
Step 1: Simplify both sides of the inequality.
−8x − 46 > 22
Step 2: Add 46 to both sides.
−8x − 46 + 46 > 22 + 46
−8x > 68
Step 3: Divide both sides by -8.
−8x/−8 > 68/−8
x < −17/2
Find the coordinates of the intersection of the diagonals of DEFG with the vertices D(-2, -3), E(0, 4), F(-4, 3), and G(-6, -4)
Answer:
(-3,0)
Step-by-step explanation:
midpoint DF = (-6/2,0) or (-3,0)
midpoint EG = (-6/2,0) or (-3,0)
Michelle throws a frisbee into the air. The height of the frisbee at a given time can be modeled by the equation h(t)= -2t
Answer:
(a) The ball will hit the ground after 3 seconds
(b) The maximum height is 6.125
Step-by-step explanation:
Given
[tex]h(t) = -2t^2 +5t +3[/tex]
Solving (a): When the frisbee will hit the ground?
To do this, we set h(t) to 0
So, we have:
[tex]h(t) = -2t^2 +5t +3[/tex]
[tex]-2t^2 +5t +3=0[/tex]
Expand
[tex]-2t^2 +6t-t +3=0[/tex]
Factorize
[tex]-2t(t - 3) -1(t - 3) = 0[/tex]
Factor out t - 3
[tex](-2t -1)(t - 3) = 0[/tex]
Split:
[tex]-2t -1= 0\ or\ t - 3 = 0[/tex]
Solve for t in both equations
[tex]-2t =1\ or\ t = 3[/tex]
[tex]t =-\frac{1}{2}\ or\ t = 3[/tex]
Time can't be negative; So:
[tex]t = 3[/tex]
Solving (b): How height the frisbee will go?
First, we calculate time to reach the maximum height
[tex]t = -\frac{b}{2a}[/tex]
Where:
[tex]h(t) = at^2 + bt + c[/tex]
By comparison:
[tex]a = -2,\ b =5,\ c =3[/tex]
So:
[tex]t = -\frac{b}{2a}[/tex]
[tex]t = -\frac{5}{2*-2}[/tex]
[tex]t = \frac{5}{4}[/tex]
[tex]t = 1.25[/tex]
So, the maximum height is:
[tex]h_{max} = -2 * 1.25^2 + 5 * 1.25 + 3[/tex]
[tex]h_{max} = 6.125[/tex]
What is the probability of tossing a coin and getting a head 4 times in a row?
Answer:
1/16
Step-by-step explanation:
They are independent events so we can multiply the probabilities
P(heads) = 1/2
P(4 heads) = P(heads)*P(heads)*P(heads)*P(heads)
= 1/2*1/2*1/2*1/2
= 1/16
Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
Evaluate the following expression. You should do this problem without a calculator. log4 4 A. 4 B. C. 8 D. 1 SUBMIT
Given:
The given expression is:
[tex]\log_44[/tex]
To find:
The simplified value for the given expression.
Solution:
According to the property of logarithm,
[tex]log_aa=1[/tex]
We have,
[tex]\log_44[/tex]
Here, the base of the logarithm is 4 and the value inside the log is also 4, since these two values are same therefore the value of this expression is 1 by using the above property of logarithm.
[tex]\log_44=1[/tex]
Hence, the correct option is D.
By evaluating log4 4 without a calculator, we discover that it is equal to 1.
please help me i dont understand
Answer:
Step-by-step explanation:
take 52 degree as reference angle
using tan rule
tan 52=opposite/adjacent
1.27=x/21
1.27*21=x
26.67=x
26.9=x
in given circle O find the value of AB
Answer:
AB = 32 in
Step-by-step explanation:
The value of AB is same as the value of the other chord, it's divided by two similar parts which are 16 each, so the value of AB becomes 16*2= 32 in
Answered by GAUTHMATH
Ratio for 30 boys to 50 girls
Answer:
30:50 OR Can reduce it to 3:5
Step-by-step explanation:
30: 50 OR 3.5
Answer:
3 : 5
Step-by-step explanation:
30boys : 50girls= 30 : 50 = 30/50 = simplify = 3/5= 3/5 change into ratio is 3 : 53 : 5What is the solution to the equation -5p = 24-p?
Op= -6
O p= - 27
Op
O p= 4
O p=
24
25
Answer:
p = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-5p = 24 - p
Step 2: Solve for p
[Addition Property of Equality] Add p on both sides: -4p = 24[Division Property of Equality] Divide -4 on both sides: p = -6howdy!!
yr answer is A. -6!!!!
goodluck!!! <33
2n 3 + 4n 2 - 7 and -n 3 + 8n - 9
Answer:
7 n and -4 I hope it will help you please follow me
30. The area of the rectangular floor in
Tamara's room is 95 square feet. The
width of the room is 8 feet.
Answer:
It has given that the area of the rectangular floor in Tamara's room is 95 ⅚ square feet. the width of the room is 8 ⅓ feet.
Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 (2a−6b+8)
Answer:
a+4=11b
Step-by-step explanation:
Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.
for example a( b+c) = ab+ac
Therefore, applying distributive property in asked eapression
12(2a - 6b+ 8) = 21(2a−6b+8)
24a+72b+96 = 42a-126b+168
198b=18a+72
9a +36=99b
3a+12=33b
a+4=11b
How much is
of 1/4 of 1 1/3
The product of the two given fractions is 1/12.
Given that, 1/4 of 1/3.
The product of two fractions is the product of the numerators and the product of the denominators.
Product of two fractions = Product of their numerators / Product of their denominators
1/4 × 1/3
= (1×1)/(4×3)
= 1/12
Therefore, the product of the two given fractions is 1/12.
To learn more about the product of two fractions visit:
https://brainly.com/question/7335118.
#SPJ1
The points ( − 4 , 9 ) and ( 4, −9) lie on the same line. What is its equation in slope-intercept form of this line?
Answer:
y = -9/4x
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( -9-9)/(4 - -4)
( -9-9)/(4+4)
-18/8
-9/4
Slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = -9/4 +b
Substitute a point into the equation
9 = -9/4(-4) +b
9 = 9+b
b=0
y = -9/4x
Solve for z:−8(z+4)=−7(z+−4)+−3
Let's solve your equation step-by-step.
−8(z+4)=−7(z+−4)+−3
Step 1: Simplify both sides of the equation.
-8z-32=-7z+25
Step 2: Add 7z to both sides.
-z-32=25
Step 3: Add 32 to both sides.
-z=57
Answer:-57
Step-by-step explanation:
-8(z+4) = -7(z+-4)+-3
-8z-32= -7z+28-3
-8z-32=-7z+25
-57=z
60 foot zip line from a tree to the ground forms a 45° angle of evolution from the ground how high above the ground is the top of the zip line round your answer to the nearest 10th of a foot
Answer:
The height of the zip line is 42.4 feet
Step-by-step explanation:
Given
[tex]\theta = 45^o[/tex] --- angle of elevation
[tex]l = 60[/tex] --- length of zip line
Required
The height of the zip line (h)
This question is an illustration of right-angled triangle.
Where:
[tex]\sin(\theta) = \frac{h}{l}[/tex]
Make h the subject
[tex]h = l * \sin(\theta)[/tex]
[tex]h = 60 * \sin(45)[/tex]
[tex]h = 60 * 0.7071[/tex]
[tex]h = 42.4[/tex]
What is the sale price of crocs which regularly cost $35, but now are 30% off
Answer:24.5
Step-by-step explanation:30% of 35 is 10.5. To find the 30% off- you multiply 35 times 0.3 which is 10.5. Then you subtract the 10.5 from 35 for the total cost. 35-10.5=24.50
Answer:
the answer is 24.5
First you multiply 35 x 0.3 = 10.5, then subtract 10.5, 35-10= 24.5
Which in total the answer is 24.5
Write an inequality that models the solution for 4(x + 2) > 8x – 3.
EXPLAIN
So the question is just asking for you to simplify the inequality until you get an answer.
1. Open the bracket on the left side. If you open it, you get 4x+8 > 8x - 3
2. Know - 4x from both side so you dont have x on 1 side. So 8 > 4x - 3
3. Get rid of the -3 from the right side by adding 3 onto both side. So 11>4x
4. Now you can divide by 4 on each side. x<2.75
= x < 2.75 (x is smaller than 2.75) .
You can write 2.75 > x. It is the same thing but I like writing my x first :)
State the slope and the y-intercept for the graph of the equation. y= -2
1; -2
0; -3
-2; 0
0; -2
Answer: 0; -2
Step-by-step explanation:
Data: y-intercept=x and slope=x
Equation=y=-2
Only step, Point out the y-intercept and slope
-2=y-intercept
0=slope
Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2.
That is why the slope is 0 and the y-intercept is -2
I hope this helps!