Answer:
7.5 unit square
Step-by-step explanation:
7.5 unit²
Step-by-step explanation:
Refer to attached
Find the y-intercept:
x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5
Find the x-intercepts:
y = 0 ⇒ 4x² - 8x - 5 = 0
4x² - 8x + 4 - 9 = 0
4(x - 1)² = 9
(x - 1)² = 9/4
x - 1 = 3/2 ⇒ x = 2.5
x - 1 = - 3/2 ⇒ x = - 0.5
We have vertices of the triangle at:
(- 0.5, 0), (2.5, 0) and (0, -5)
Base of the triangle is:
2.5 - (-0.5) = 3
Height of triangle:
0 - (-5) = 5
The area is:
A = 1/2bh
A = 1/2*3*5 = 7.5
Answer:
7.5 unit²
Step-by-step explanation:
find x and y intercepts
x = 0 ⇒ y = 4*0 - 8*0 - 5 = - 5
y = 0 ⇒ 4x² - 8x - 5 = 0
4x² - 8x + 4 - 9 = 0
4(x - 1)² = 9
(x - 1)² = 9/4
x - 1 = 3/2 ⇒ x = 2.5
x - 1 = - 3/2 ⇒ x = - 0.5
We have vertices of the triangle at:
(- 0.5, 0), (2.5, 0) and (0, -5)
Base of the triangle is:
2.5 - (-0.5) = 3
Height of triangle:
0 - (-5) = 5
The area is:
A = 1/2bh
A = 1/2*3*5 = 7.5
9.
Identify the minimum value of the function y = 3x2 − 12x + 10.
A. 10
B. 46
C. 2
D. −2
Answer:
D. −2
Step-by-step explanation:
Use the formula x = − b /2 a to find the maximum and minimum.
( 2 , − 2 )
The length of a rectangle is 7 less than the width. If the
perimeter is 50. What is the length and width? Write
an equation for the situation and solve.
Answer:
Step-by-step explanation:
Let width = w
Length = w - 7
Perimeter = 2*(length + width)
2*(w-7 + w) = 50
2* (2w - 7) = 50
2*2w - 7*2 = 50
4w - 14 = 50
Add 14 to both the sides
4w = 50+ 14
4w = 64
Divide the entire equation by 4
w = 64/4
w = 16 units
Length = 16 - 7 = 9 units
The sum of 3 times a number and 4 is 2.
I think its 24? or am i just not smart
find the equation of a line in point slope form that crosses through points (3,-2) and (5,2)
-2-2=0.5(3-5)
OR (-2-2)=1/2(3-5)
What is the distance between (8,0) and (2,5)
Expand this equation
Answer:
Step-by-step explanation:
First multiply 9x3
=[tex]27xy^4x^3y[/tex]
give the terms that dont have a exponent a 1
=[tex]27x^1y^4x^3y^1[/tex]
Multiply terms with the same base
[tex]27x^{1+3} y^4x^3y^1[/tex]
Multiply terms of same base
[tex]27x^{1+3}y^{4+1}[/tex]
Just add all the exponents
[tex]27x^{4}y^{5}[/tex]
EXAMPLE 8:
Find the measure of the three angles.
Answer:
1. 50
2. 130
3.130
Step-by-step explanation:
50 is a vertical angle to 1. so it has the same value.
a line is 180 so 180-50=130
help me please zearn
Answer:
Radius = 7cm , Circumference = 43.96cm
Step-by-step explanation:
To find the radius, you divide the diameter by 2.
14 / 2 = 7cm
To find the circumference, you multiply 兀 ( 3.14 ) with the diameter
兀d = 兀 x 14 = 43.96cm
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1925 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of
the two cars that week?
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Express each ratio as a fraction in simplest form.
15 feet out of 36 feet.
Answer to question: 5:12 5/12
7/8 divided by -1/6.
Answer:
-42/8
Step-by-step explanation:
Answer: -21/4 or 5 1/4
Step-by-step explanation:
to divide fractions, multiply by the reciprocal of the divisor
7/8*-6/1
then, just multiply the numbers to get -42/8. then, simplify by dividing both the numerator and denominator by 2. this will get -21/4
can anyone heelp me plz plz
Answer:
c
Step-by-step explanation:
i think it's 1
Rachel is blowing up a balloon so that the diameter increases at the rate of 10 cm/sec. At what rate must she blow air into the balloon when the diameter measures 4 cm
Using implicit differentiation, it is found that she must blow air at a rate of 251.33 cm³/sec.
A balloon has a spherical format.The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The radius is half the diameter, hence:
[tex]r = \frac{d}{2}[/tex]
[tex]r^3 = \frac{d^3}{8}[/tex]
[tex]V = \frac{4\pi d^3}{24} = \frac{\pi d^3}{6}[/tex]
Applying implicit differentiation, the rate of change of the volume is:
[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]
The diameter increases at the rate of 10 cm/sec, hence [tex]\frac{dd}{dt} = 10[/tex].It is of 4 cm, hence [tex]d = 4[/tex]The rate that she must blow air is:
[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]
[tex]\frac{dV}{dt} = \frac{4^2 \pi}{2}(10)[/tex]
[tex]\frac{dV}{dt} = 251.33[/tex]
She must blow air at a rate of 251.33 cm³/sec.
A similar problem is given at https://brainly.com/question/25581404
om has 10 coins in his pocket. Some are nickels and some are dimes.
total value of the coins is $0.85. How many of each type of coin does
ave?Tom has 10 coins in his pocket. Some are nickels and some are dimes.
The total value of the coins is $0.85. How many of each type of coin does
he have?
Answer:
7 dimes and 3 nickelsStep-by-step explanation:
10 cents x 7 cents= 70 cents
5 cents x 3 cents= 15 cents
70
+ 15
85
Find the inequality represented by the graph in the picture below
Answer:
[tex]y \geq2x - 5[/tex]
Step-by-step explanation:
First off, we can tell that the line has a positive slope because it's going upwards to the right. To find the slope of the line exactly, we will start at the first given point and count the units until we get to the next point.
(Remember that slope is written as rise/run.)
So the slope is 2/1 or just 2.
Next, we can tell that the y-intercept is -5, because that's where the line crosses the y-axis.
Additionally, since the line is solid, the inequality sign will either be the "greater than or equal to" sign, or the "lesser than or equal to" sign. In order to tell which one to use, we will look at the shaded area. Since the shaded area is above the line, y will be "greater than or equal to" the line.
So to put it together: The line written in slope-intercept form, is
[tex]y \geq2x - 5[/tex]
Hope this helps you :)
pls help i am in 8th grade k12 o0A group of workers is harvesting pumpkins at a constant rate. An equation that represents the number of pumpkins the workers picked over a period of time, in hours, is y = 5x + 10.
What are the slope and the y-intercept for the equation that represents the number of pumpkins the workers picked over a period of time?
What are the rate of change and the initial amount? Explain what the rate of change and the initial amount mean for this particular situation.
Use graph paper to draw a graph representing the situation. Label the axes appropriately.
Answer:
1) 5/1 is the slope, and 10 is the y intercept.
2) Inital amount is the y intercept, and 10 is the rate of change.
3) Should be easy from there! Just graph (0,10), and go up 5, right 1, and repeat.
Step-by-step explanation:
This is in slope intercept form! Where 5 is the slope, and 10 is the y intercept. The rate of change is another way of saying slope, and the inital amount is your starting value, or y intercept.
plz help me im dying 2/7 · 4=
Answer:
8/7
Step-by-step explanation:
2/7 *4/1 = 8/7
Be sure to mark me Brainliest.
Can someone help me please?
x = 130°
If parallel lines are cut by a transversal, alternate exterior angles will be congruent.
Answer:
130 degres
they lie on the same line so the angles are equal
1. what is the difference when (-6) is subtracted from (-3)?
2. If (-12) is one of the factors of -180, what is the other factor?
3. After John spends 1/4 of his salary on food and 2/3 of what remains on clothes, what part of his original salary does be have left?
4. Arrange the following fractions from least to greatest: 1/2, 8/15, 9/19
5. 0.7 deceased by 0.02
GIVING BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The third one
Step-by-step explanation:
What value of will make the equation a true statement? Explain how you arrived at your solution
(-3+4)+a=0
Answer:
-1
Step-by-step explanation:
First you do what's inside the brackets,
-3 + 4 = 1
Now we have 1 + a = 0
so we rearrange for a
0 - 1 = -1
a = -1
Have a great day <3
Are the graphs of 2x-4y=-12 and y=2x+1 parallel, perpendicular, or neither?
Answer:
I believe the answer is neither
Step-by-step explanation:
Divide. plz help
623÷15
Answer:
41.53333
Step-by-step explanation:
The answer is a decimal, and not a whole number because 623 is not divisable by 15. But if we we're to round 41.53 by the nearest tenth, your new rounded number would be: 42.
Have a great day! :D
Which statement best describes the function f(x)=k^−√x+2 if k is a constant such that k > 1 and x≥−2 ? Consider only positive values of the radical.
A
It is an exponential decay function.
B
It is an exponential growth function.
C
It is an increasing power function.
D
It is a decreasing power function.
Answer:
answer is b took the test n dude
Step-by-step explanation:
Suppose you have 5 white, 5 blue and 8 black socks in a drawer. What is the probability that you randomly pick a black sock from the drawer?
A) 1/18
B) 1/5
C) 5/5
D) 8/18
Find the slope of the line graphed below.
Answer:
slope = 3/8
Step-by-step explanation:
slope is rise over run
use the points (-4,1) and (4,4)
going up 3 and over 8 will connect you to the other point
An Olympic marathon runner can run at a pace of 2 miles in 10.4 minutes. How many minutes will it take him to run the entire marathon of 26.2 miles?
Answer:
the answer is 136.24 minutes
Step-by-step explanation:
i took the test and it was right
How do i get x in this? 6x - 24 = 6x
Answer:
-24 does not equal 0, so therefore there's no solution.
Step-by-step explanation:
In order to get x by its self, you first have to subtract 6x on both sides to get -24 = 0. Next divide 12 on both sides to get -2 = x.
Hope this helps you :)
(Answer has been edited, because I realized I did the first step wrong, my bad.)
how many solutions does the following equation have? 2x+8=2(x+3)
Answer:
0
Step-by-step explanation: 2x+8=2x+6 --> 8=6
8 cant be equal to 6 so this equation is wrong and has no solution.
Pleaseee help I beg youu I will mark branliest
Answer:
5, 1.4
Step-by-step explanation:
you just take a value of x with its matching value of y and divide it
