Answer:
-5/2+-1/2√37≤x≤-5/2+1/2√37
Step-by-step explanation:
Step 1: Find the critical points
-x^2-5x+3=0
For this equation: a=-1, b=-5, c=3
−1x^2+−5x+3=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(3)/2(-1)
x=5±√37 /−2
x=-5/2+1/2√37
Step 2: Check intervals in between critical points
x≤-5/2+1/2 √37 (Doesn't work in original inequality)
-5/2+-1/2√37≤x≤-5/2+1/2√37 (Works in original inequality)
x≥-5/2+1/2 √37 (Doesn't work in original inequality)
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the rectangle.
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
Expand:
2W² +W= 28
-28 on both sides:
2W² +W -28= 0
Factorise:
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)
(4-2)^2x5+9
Answer+step by step
Answer:
4-2 = 2
2x5+9 = 19
2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288
Answer:
29
Step-by-step explanation:
Use PEMDAS
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
(4-2)^2×5+9 first you do parenthesis which is (4-2)=2
(2)^2×5+9 next the exponents (2)^2=4
4×5+9 now the multiplication, 4×5=20
20+9 And now finish it off with the addition
So the answer ends up being 29.
The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket
originally priced p dollars. Which changes to the original price could have resulted in
this expression?
Answer:
0.75 could be a 25% discount. 1.06 could be a sales tax.
Step-by-step explanation:
If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).
In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.
0.75(1.06p) = 1.06(0.75p)
solve the following equations 2p + 3p + 8 - 4 = 54
Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is _____.
Answer:
The probability that x equals 19.62 is 0
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0
Can someone please help, ty!!
Will mark brainliest!
The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.
82 + 55 + x = 180
137 + x = 180
x = 43 degrees
Hope this helps!! :)
Answer:
Step-by-step explanation:
55+82+missing angle=180 degree(sum of interior angle of atriangle is 180 degree)
137+missing angle=180
missing angle=180-137
missing angle=43 degree
therefore ur answer is 43 degree.
Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13? b. Is the sum of the digits odd or even? c. Is the value a prime number?
Leon tried to solve an equation step by step.
Step-by-step explanation:
in step 2 leon made mistake
OPTION B step 2
[tex] \frac{1}{2} w = 30[/tex]
[tex]w = 30 \times 2[/tex]
[tex]w = 60[/tex]
how do u find the percent of 36 and 40? Thanks!
Simplify the expression:
w+3w
Answer:
4w
Step-by-step explanation:
1w+3w=4w
Answer:
w+ 3w = 4 w. helpful answer
A rectangle’s length is two feet less than three times it’s width. If it’s width is 7 feet, then which of the following is its area?
1. 19 square feet
2. 57 square feet
3. 114 square feet
4. 133 square feet
A regular polygon first maps directly onto itself after rotating 120 degrees. How many sides does the polygon have?
1
2
3
4
The answer is ,The polygon has 3 sides
Answer this pls. its all about the pythagorean theorem thanks
Answer:
The answer is below
Step-by-step explanation:
A triangle is a shape with three sides and three angles. There are different types of triangles such as isosceles, equilateral, scalene, obtuse, acute and right angled.
In a right angled triangle, the side with the longest length is known as the hypotenuse and this sides is always opposite to the right angle (90 degrees). Pythagoras states that the square of the hypotenuse is equal to the sum of the square of the remaining sides.
a) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 5(3) = 15
u² = h² + b² = 15 + 3² = 24
u = √24
b) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 4(2) = 8
h = √8
c) u² = h² + b² (1)
t² = h² + a² (2)
(a + b)² = t² + u²
(a + b)² = (h² + a²) + (h² + b²)
a² + b² + 2ab = 2h² + a² + b²
2h² = 2ab
h² = ab = 7(7) = 49
h = 7
u² = h² + b² = 7² + 7² = 98
u = √98
t² = h² + a² = 7² + 7²
t = √98
Brainliest to who gets it right no links
A. t(x)=450-0.06x
hope this helps
tipler stock dropped $5 monday, rosary $3 Tuesday, and rose $7 Wednesday. what was the net change in price of the stock
Answer:
drooped $1
Step-by-step explanation:
first,dropped $5=(-$5)
second,rosary $3=(-$3)
third,rose $7=(+$7)
solution:
(-$5)+(-$3)+(+$7)
=-$5-$3+$7
=-$8+$7
=-$1
the net change in price of the stock was drooped $1 .
The required net change in the price of the stock is -$1.
Given that,
Tipler stock dropped $5 Monday, rosary $3 Tuesday, and rose $7 Wednesday. To determine the net change in the price of the stock
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
On Monday price dropped by $5 = -$5
On Tuesday price dropped by -$3 = -$3
On Wednesday price rose by $7 = +$7
Net = -5 -3 +7
Net = -$1
Thus, the required net change in the price of the stock is -$1.
Learn more about arithmetic here:
brainly.com/question/14753192
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PLEASE HELPPP
Which one is equivalent??
Answer:
the answer is A AND WE LOVE BILLIE
Step-by-step explanation:
4(12+3) distributive property
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{= 4(12) + 4(3)}[/tex]
[tex]\large\textsf{4(12) = \bf 48}[/tex]
[tex]\large\textsf{4(3) = \bf 12}[/tex]
[tex]\large\textsf{= 48 + 12}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\large\text{OR} \downarrow[/tex]
[tex]\large\textsf{4(12 + 3)}[/tex]
[tex]\large\textsf{12 + 3 = \bf 15}[/tex]
[tex]\large\textsf{= 4(15)}[/tex]
[tex]\large\textsf{= \bf 60}[/tex]
[tex]\boxed{\large\textsf{Answer: \huge 60}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{OVERALL \underline{ANSWER}: \huge \bf 60}}}\huge\checkmark[/tex]
[tex]\huge\checkmark\boxed{\boxed{\large\textsf{Or you can say: \huge \bf 48 + 12}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(12 + 3) \\ = 4 \times 12 + 4 \times 3 \\ = 48 + 12 \\ = 60[/tex]
=> Property used = distributive property.
Please help i’ll rate brainliest too
Answer:
- 4
Step-by-step explanation:
h(x) = sin x
f(x) = | 3x - 4 |
g(x) = 2x² - 6
h( [tex]\frac{\pi }{2}[/tex] ) = sin ( [tex]\frac{\pi }{2}[/tex] ) = 1
f ( 1 ) = | 3 × 1 - 4 | = 1
g ( 1 ) = 2( 1² ) - 6 = - 4
g ( f ( h ( [tex]\frac{\pi }{2}[/tex] ) ) ) = - 4
What is the mode for the set of data shown below?
14, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
A. 14
B. 28
C. 95
D. 32
Answer:
28
Step-by-step explanation:
4, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
Mode is the number that appears most often
4, 28, 28, 32, 33,35, 38, 42, 49,53,69, 75, 81, 90, 95, 97
28 appears twice
0.088 is more than 0.78, right?
Hi there!
»»————- ★ ————-««
I believe your answer is:
No.
[tex]0.088 < 0.78[/tex]
»»————- ★ ————-««
Here’s why:
0.088 can be described as "eighty-eight thousandths". 0.78 can be described as "seventy-eight hundredths."Thousandths has a lesser value than hundredths. 0.088 is less than 0.78, not greater than.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
» Choose ALL the lines of symmetry for the shape.
Answer:
the first one , one below it and the one beside the one below it
Step-by-step explanation:
Answer:
sorry I don't Know
is y= 2^x + 3x - 4 a quadratic function
Answer:
No
Step-by-step explanation:
Due to the absence of the squared coefficient, we can automatically strike this as not a quadratic.
And, judging by the terms of the function, this is a trinomial.
Find the value of x if the angles below are vertical.
Answer:
x = 19
Step-by-step explanation:
Since the angles are vertical, that means these angles are equal to each other:
7x + 34 = 10x - 23
7x - 10x = -23 - 34
-3x = -57
x = 19
Answer:
Step-by-step explanation:
7x+34=10x-23 (being vertically opposite angles)
34+23=10x-7x
57=3x
57/3=x
19=x
Jane needs to buy mulch to cover a circular garden
whose dimensions are shown in the figure. The cost of
the mulch is $32.52 per square yard. Find the amount
of mulch she will need to the nearest square yard and
find the cost of the mulch.
Answer:
$3089.4
Step-by-step explanation:
A circle is a locus of a point such that its distance from a point known as the center is always constant.
The area of a circle is given by the formula:
Area = πr²; where r is the radius of the circle.
From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:
Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²
Since mulch cost $32.52 per square yard, hence:
Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4
(8+3)(-1) Distributive Property
Answer:
-11
Step-by-step explanation:
(8+3)(-1) Add 8 + 3
(11)(-1) Multiply
-11 Final Answer
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(8 + 3)(-1)}\\\\\large\textsf{(8 + 3) = \bf 11}\\\\\large\textsf{11(-1)}\\\\\large\textsf{= \bf -11}\\\\\boxed{\boxed{\large\textsf{\large\textsf{Answer: \huge \bf -11}}}}\huge\checkmark\\\\\\\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
In the triangle below, which of the following is equivalent to the tangent of
62°?
Answer:
tan62= 7/25
Step-by-step explanation:
tan = opposite/adjacent
Option A is the correct answer.
We need to find, from the given option which is equivalent to the tangent of 62°.
What is the ratio of trigonometric function tangent?The ratio of trigonometric function tangent is tanθ=Opposit/Adjacent.
Now, tan62°=24/7.
Therefore, option A is the correct answer.
To learn more about trigonometric ratios visit:
https://brainly.com/question/13724581.
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For what values of x is the expression below defined?
VX + 4 = V1- x
Answer:
A
Step-by-step explanation:
A square root must be positive or equal to 0
x + 4 ≥ 0
x ≥ -4
1-x > 0
-x > - 1
x < 1
If we unite the two solutions, we have
-4 ≤ x < 1
In the diagram of XYZ, which term describes point ?
х
z
w
Y
O A. Circumcenter
O B. Incenter
O C. Orthocenter
D. Centroid
4x2-36x+80=0
Soma e Produto