Answer:
Step-by-step explanation:
Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get
\((x+4)^2=9\) Now we have to undo the squaring on the left by taking the square root of both sides:
\(\sqrt{(x+4)^2}=\) ±\(\sqrt{9}\) Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:
x + 4 = ±3
The 2 solutions are
x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.
Put the following equation of a line into slope-intercept form, simplifying all fractions.
8x+6y=
8x+6y=
\,\,18
18
Answer:
do u have a full screenshot of it???
Step-by-step explanation:
Indicate in standard form the equation of the line passing through the given point and having the given slope.
D(5, -2) m =
The equation of the line passing through the point D(5, -2) with slope m is: mx - y - (2 + 5m) = 0 .
Given:
line passing through the point D(5, -2) and having the given slope m,
Using the point-slope form of the equation of a line:
\(\[ y - y_1 = m(x - x_1) \]\)
where \((x_1, y_1)\) is the given point (5, -2), and m is the given slope.
Substitute the values:
\(\[ y - (-2) = m(x - 5) \]\)
y + 2 = m(x - 5)
Now, express the equation in standard form (Ax + By = C),
y + 2 - m(x - 5) = 0
y + 2 - mx + 5m = 0
-mx + y + (2 + 5m) = 0
Finally, to have the equation in standard form, multiply by -1 to make the coefficient of x positive:
mx - y - (2 + 5m) = 0
So, the equation of the line is: mx - y - (2 + 5m) = 0 .
Learn more about Equation of line here:
https://brainly.com/question/21511618
#SPJ12
Rewrite 0.00518 in scientific notation.
Answer: 5.18 x 10^-3
Step-by-step explanation:
0.00518
**Move the decimal 3 spaces to the right**
5.18
**Since it goes like 0.00, you want to make sure the exponent is negative**
5.18 x 10^-3
Hope this helped <3
What is quadratic inequalities Grade 9?
A quadratic inequality is an inequality that can be written in the form of "ax² + bx + c < or > 0" where a, b and c are real numbers and x is a variable.
The solutions to a quadratic inequality are the values of x that make the inequality true. To solve a quadratic inequality, we first set the expression equal to zero and then find the roots (also known as the zeroes or solutions) of the equation. We then use these roots to divide the number line into three regions: the region where the expression is less than zero, the region where the expression is greater than zero, and the region where the expression is equal to zero.
Learn more about quadratic inequality here: https://brainly.com/question/17810527
#SPJ4
need help with multiple questions (and if you can, show your work, thanks):
1: Measure 8 tbsp. chocolate sauce and add 2 1/2 cups of milk.
2: Start with 1 3/4 cups of milk and add 2 1/2 tbsp. chocolate sauce.
3: Add 3 1/3 tbsp. chocolate sauce to 1 1/4 cups milk.
4: For every 1 cup of milk add 2 1/2 tbsp. of chocolate sauce.
5: Stir 1 tbsp. chocolate sauce into 2/3 cup milk.
With this query, no effort is necessary. measure the tbsp. of all items.
Is milk consumption healthy?A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.
1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.
No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.
2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.
No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.
No work is required for this question. It is a simple instruction to add \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.
4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.
5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.
No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.
To know more about milk visit:
https://brainly.com/question/28586503
#SPJ1
Represent 1/3 and 5/2 on the same number line. Please Draw it
Answer:
\(\Huge{\fbox{\red{Attachment}}}\)
#Be Brainly
Integrate:– \(\Huge{{\large{∫} \frac{dx}{ \sqrt{x \sqrt{x} - x {}^{2} } }}}\)
9514 1404 393
Answer:
-4arccos(x^(1/4)) +C
Step-by-step explanation:
My machine solver gives an answer that reduces to the expression ...
-4arccos(x^(1/4)) +C
__
We know that ...
(d/dx)arccos(x) = -1/√(1-x²)
If you let u = x^(1/4), then you can make the integrand look something like ...
4 du/√(1 -u²)
which is what you need to get to the arccos function.
The owner of a health food store is developing a new product that consists of peanuts and raisins. Raisins cost \$2.50$2.50dollar sign, 2, point, 50 per pound and peanuts cost \$3.50$3.50dollar sign, 3, point, 50 per pound. The owner wants to create 202020 pounds of the product that cost \$3.03$3.03dollar sign, 3, point, 03 per pound. Which of the following systems of equations can be used to determine the number of pounds of peanuts, ppp, and the number of pounds of raisins, rrr, that should be combined?
Answer:
9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product
Step-by-step explanation:
The cost of raisins is $2.5 per pound and the cost of peanut per pound is $3.50.
Let r represent the number of raisin pound and p represent the number of peanut pound. Since 20 pounds of a new product that consists of peanuts and raisins need to be produced, it can be represented by the equation:
p + r = 20 (1)
The new product would cost $3.03, therefore:
3.5p + 2.5r = 3.03(20)
3.5p + 2.5r = 60.6 (2)
We have to solve equation (1) and (2) simultaneously. First multiply (1) by 2.5 to get 2.5p + 2.5r = 50. Subtract 2.5p + 2.5r = 50 from equation (2):
p = 10.6 pound
Put p = 10.6 in equation (1)
10.6 + r = 20
r = 20 - 10.6 = 9.4
r = 9.4 pound
9.4 pound of raisin and 10.6 pound of peanut is required to make 20 pound of product
Answer:
p + r = 20
\(\frac{3.50p+2.50r}{20}\) = 3.03
Step-by-step explanation:
The total cost of the product when the peanuts and raisins are combined is:
3.50p + 2.50r
To obtain the per pound cost, this expression needs to be divided by the number of total pounds, 20.
\(\frac{3.50p+2.50r}{20} =3.03\)
**KA's explanation**
what are the factors of 24 and 60?
PLEASE HELP!!!
There's also part B.
Connor says the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct? Use the drop drown menus to explain your answer.
connor (is, is not) correct because the rate of water flowing is (greater than, less than, equal to) the slope. Water flowing at a rate that is (greater than, equal to, less than) 2 gallons per minute.
thank you!!
the answer would be C
Step-by-step explanation:
seeing the graph u can see that it moving 2 right and 1 up
The slope of given line from the graph is 2. Therefore, option D is the correct answer.
In the graph, it is given that x-axis represents time (min) and y-axis represents volume(gal).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = Rise/Run
From the graph, the slope is
Slope (m)= 6/3
= 2
The slope of given line from the graph is 2. Therefore, option D is the correct answer.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ5
An outdoor art display is a metal cube with edge length 57 feet. What is the volume of the cube in cubic feet? In cubic yards?
Nevermind, my answer is wrong
what is a real number
Answer:
pi, 7, and 8
Step-by-step explanation:
Nearly any number you can think of is a Real Number
Hey! Can someone help me with this! Please thank u!
Step-by-step explanation:
1. vertical opposite angles
2. corresponding angles
3. alternate interior angles
4. alternate exterior angles
5. corresponding angles
6. vertical opposite angles
7. alternate exterior angles
8. vertical opposite angles
9. corresponding angles
10. alternate exterior angles
please help will mark braileist
Answer:
EG
Step-by-step explanation:
give a geometric description of the following set of points. (x-24)^(2) y^(2) z^(2)-64 = 0
The set of points satisfying the equation (x-24)²y²z² - 64 = 0 is the intersection of three parabolas centered at (24, 0, 0), (0, 0, 0), and (0, 0, 0) in the x, y, and z directions, respectively. This intersection forms a three-dimensional surface in space.
The given equation, (x-24)²y²z² - 64 = 0, can be rewritten as:
(x-24)²y²z² = 64
Let's analyze the equation term by term to understand its geometric description:
(x-24)² represents a parabola in the x-axis centered at x = 24. It opens upward and has its vertex at (24, 0). The squared term ensures that the value is always positive.
y² represents a parabola in the y-axis centered at the origin (0, 0). It opens upward and has its vertex at (0, 0). The squared term ensures that the value is always positive.
z² represents a parabola in the z-axis centered at the origin (0, 0). It opens upward and has its vertex at (0, 0). The squared term ensures that the value is always positive.
Multiplying these parabolas together means that for a point (x, y, z) to satisfy the equation, all three parabolas need to have a value of 1, resulting in a product of 1.
To learn more about parabola : brainly.com/question/11911877
#SPJ11
Solve for x
\(\frac{x}{2}\)+\(\frac{x}{7}\)=−1
Answer:
\(x = -\frac{14}{9}\)
I hope this helps!
\( \Large \underline{\tt Given} :\)
\(\tt \dfrac{x}{2}+\dfrac{x}{7} = - 1\)\( \\ \)
\( \Large \underline{\tt To \: Find} :\)
Value of x = ?\( \\ \)
\( \Large \underline{\tt Solution} :\)
\(\tt \dashrightarrow \dfrac{x}{2}+\dfrac{x}{7} = - 1\)
\(\tt \dashrightarrow \dfrac{7x + 2x}{2\times 7}= - 1\)
\(\tt \dashrightarrow \dfrac{9x}{14}= - 1\)
\(\tt \dashrightarrow 9x= - 1\times 14\)
\(\tt \dashrightarrow 9x= - 14\)
\(\tt \dashrightarrow x= - \dfrac{14}{9}\)
\( \\ \)
\(\bf Hence, \:value\: of \: x = - \dfrac{14}{9}\)
IM TAKING BENCHMARK PLEASE HELP!!!!
f(x) = -2x^2 +2x + 4
Find f(1)
Answer:
4
Step-by-step explanation:
plug 1 into the equation and get
-2(1)^2 +2(1) +4
simplify
-2+2+4
add
4
For the function f(x) = 0.25 (x - 1) (x + 7) identify the vertex.
Answer:
Mark brainly then I will answer..
Mathematics help nedd
To solve the equation, we need to first simplify both sides:
(4x - 6)/5 + 1 = (x + 1)/5 - 2/5
Multiplying both sides by 5 to eliminate the denominator:
4x - 6 + 5 = x + 1 - 2
Simplifying further:
4x - 1 = x - 1
Subtracting x from both sides:
3x - 1 = -1
Adding 1 to both sides:
3x = 0
Dividing both sides by 3:
x = 0
Therefore, the solution to the equation is x = 0.
Answer: x=28
Step-by-step explanation:
Given: <A=68
Find: x
Reasoning:
<B = 2x+x
<B= 3x
<C=x they say the sides across from <C is same as other side so the
angles are the same
Solution:
All angles of a triangle =180
<A + <B + <C =180 >substitute
68 + 3x + x =180 > combine like terms
68 + 4x = 180 > subtract 68 from both sides
4x=112 >divide both sides by 4
x=28
A large rectangular movie screen in an IMAX theater has an area of 11,224 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide
With an area of 11,224 square feet and the dimensions of the screen if it is 30 feet longer than it is wide, the width of the screen is 91.5 feet, and the length of the screen is 121.5 feet.
Let's call the width of the screen "w". Then, the length of the screen would be "w + 30". The area of the screen is 11,224 square feet, so we can set up an equation:
w * (w + 30) = 11,224
Expanding the right side of the equation, we get:
w^2 + 30w - 11,224 = 0
We can use the quadratic formula to solve for w:
w = (-b ± √(b^2 - 4ac)) / 2a
Where a = 1, b = 30, and c = -11,224.
Plugging in the values, we get:
w = (-30 ± √(30^2 - 4 * 1 * -11,224)) / 2 * 1
= (-30 ± √(900 + 44,896)) / 2
= (-30 ± √(45,796)) / 2
= (-30 ± 213) / 2
Taking the positive solution, we get:
w = (183 / 2) = 91.5 feet
So the width of the screen is 91.5 feet, and the length of the screen is 91.5 + 30 = 121.5 feet.
To learn more about area click on,
https://brainly.com/question/14726830
#SPJ4
A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $60 a day plus $0.70 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
I need to find the point which both company's rental costs are the same
:skull:
I just have that 100 miles for Company B gets them to $130, matching the daily price for Company A, but I don't know the amount of matching miles for the same price.
I know this might not help at all.
Solve 5x+ c = k for x.
A. X = k + c over 5
B. X= k - c over 5
C. x = 5(k+ c)
D. x = 5(k-c)
Answer:
x = (k-c)/5
Step-by-step explanation:
5x+ c = k
Subtract c from each side
5x+ c-c = k-c
5x = k-c
Divide each side by 5
5x/5 = (k-c)/5
x = (k-c)/5
Step-by-step explanation:
5x + c = k ( take "c" over to the otherside )
5x = k - c ( divide by 5 on both sides, to get rid of the 5 in 5x)
k - c
x = ----------
5
A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?
Answer:
\(\frac{95}{5} \frac{km}{hour}= 19.2 km/hour\)
Step-by-step explanation:
Average speed = distance/time
Average speed = \(\frac{9.6}{30} \frac{km}{min}\) ; multiply by 60min/1hour
Average speed = \(\frac{95}{5} \frac{km}{hour}= 19.2 km/hour\)
Fruit Smoothle
O E. Talia can use 1
cup orange juice
cup yogurt
8 cup strawberries
8 cup blueberries
cup of ice
Blend all ingredients. Serve cold.
Makes 1 serving.
Which statement about the recipe is true? Mark all that apply.
cup strawberries to double the recipe.
O A. Talia can use
OB. Talia can use
OC. Talia can use
12 cup yogurt to make 3 servings.
cup blueberries to make 4 servings.
OD. Talia can use
1
cups orange juice to make 4 servings.
cup of ice to make 5 servings.
A. Talia can use 1 and 3/4 cup strawberries to double the recipe. B. Talia can use 1 and 1/3 cup yogurt to make 3 servings. D. Talia can use 2 cups orange juice to make 4 servings.
What is proportion?In statistics, a proportion is a fraction or a percentage that reflects the proportion of a population's or sample's members who share a particular attribute to the population's or sample's overall size. It is a kind of ratio where the denominator is the entire population or sample size and the numerator is the number of people who possess a specific trait or attribute.
From the given ingredients and the serving size we can see that the correct statement is:
A. Talia can use 1 and 3/4 cup strawberries to double the recipe.
B. Talia can use 1 and 1/3 cup yogurt to make 3 servings.
D. Talia can use 2 cups orange juice to make 4 servings.
Learn more about proportions here:
https://brainly.com/question/29861166
#SPJ1
The complete question is:
If two terms of an arithmetic sequence are a11 = 31 and a15 = −1, what is a28? −193 −185 −105 −2
In an arithmetic sequence each term is the sum of the previous term and a fixed ratio. For this case we have the 11th term and the 15th term, so there are 4 steps between the two terms, which means that the 11th term plus 4 times the ratio should be equal to the 15th one.
\(\begin{gathered} a15=a11+4\cdot r \\ -1=31+4\cdot r \\ 4\cdot r=-1-31 \\ 4\cdot r=-32 \\ r=\frac{-32}{4} \\ r=-8 \end{gathered}\)The ratio is -8. We can use the same idea to determine the 28th term, there are 13 steps between the 15th term and the 28th one. So we have:
\(\begin{gathered} a28=a15+13\cdot r \\ a28=-1+13\cdot(-8) \\ a28=-1-104=-105 \end{gathered}\)The answer is -105.
Find fºg(x) and give the domain.
f(x) = x + 10 and g(x) = 2x - 26
Answer:
f ( 2 x− 26 ) = 2 x − 16
What is the percent of increase from 53.5 to 96.3?
Answer:
80%
Step-by-step explanation:
96.3 - 53.5 = 42.8
42.8 / 53.5 = 0.8
0.8 × 100 = 80%
BRAINIEST This is due today whoever answers this I will give them brainiest
Answer:
(a) There are 3 terms.
(b) There are 4 factors in the first term, which are 1, 2, 4, and 8.
(c) The term 16 is a constant.
the volume of a cube with edge lengths of 2/3 units
What is the edge length of a cube with volume 27/64 cubic units?
Pleas helppppppppppppp
Answer:
\(a=\sqrt[3]{\frac{27}{64}} = 0.75\)
edge length = 0.75
Equation: \(a=\sqrt[3]{V}\)
4. Find the exact value of: r: -\ldots .5 \% ? e) \frac{\tan \left(\frac{7 \pi}{6}\right)-\tan \left(\frac{5 \pi}{12}\right)}{1+\tan \left(\frac{7 \pi}{6}\right) \tan \left(\frac{5 \pi}{12}\r
The difference of tangents, we can find the value of e) is \($=-1+\sqrt{3}\).
Given, r = - 5%
= -0.005
Now, we need to find the value of e)
\($=\[\frac{\tan \left( \frac{7\pi }{6} \right) - \tan \left( \frac{5\pi }{12} \right)}{1 + \tan \left( \frac{7\pi }{6} \right) \tan \left( \frac{5\pi }{12} \right)}\]\)
On the unit circle, let's look at the position of π/6 and 7π/6 in the fourth and third quadrants.
The reference angle is π/6 and is equal to ∠DOP. sine is positive in the second quadrant, so the sine of π/6 is positive.
cosine is negative in the second quadrant, so the cosine of π/6 is negative.
We get
\($\[\tan \left( \frac{7\pi }{6} \right) = \tan \left( \pi + \frac{\pi }{6} \right)\)
\($= \tan \left( \frac{\pi }{6} \right)\)
\($= \frac{1}{\sqrt{3}}\)
As 5π/12 is not a quadrantal angle, we'll have to use the difference identity formula for tangents to simplify.
We get,
\($\[\tan \left( \frac{5\pi }{12} \right) = \tan \left( \frac{\pi }{3} - \frac{\pi }{12} \right)\]\)
Using the formula for the difference of tangents, we can find the value of e)
\($=\[\frac{\tan \left( \frac{7\pi }{6} \right) - \tan \left( \frac{5\pi }{12} \right)}{1 + \tan \left( \frac{7\pi }{6} \right) \tan \left( \frac{5\pi }{12} \right)}\)
\($=\frac{\frac{1}{\sqrt{3}}-\frac{2-\sqrt{3}}{\sqrt{3}}}{1+\frac{1}{\sqrt{3}}\left( 2-\sqrt{3} \right)}\)
\($=\frac{\sqrt{3}-2+\sqrt{3}}{2}\)
\($=-1+\sqrt{3}\)
Therefore, the value of e) is -1+√3.
To know more about quadrants, visit:
https://brainly.com/question/29296837
#SPJ11